Industrial Gear Box

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    Rolling bearings in

    industrial gearboxes

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    Copyright SKF 1997

    The contents of this publication are the

    copyright of the publisher and may not

    be reproduced (even extracts) unless

    permission is granted. Every care hasbeen taken to ensure the accuracy of

    the information contained in this publi-

    cation but no liability can be accepted

    for any loss or damage whether direct,

    indirect or consequential arising out of

    the use of the information contained

    herein.

    Publication 4560 E

    Printed in Denmark on environmentally

    friendly, chlorine-free paper (Multiart

    Silk) by Scanprint as

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    1 Industrial gearboxes overview

    2 Bearing types for industrial gearboxes

    3 Design of bearing arrangements

    4 Dimensioning the bearing arrangement

    5 Lubrication and maintenance

    6 Recommended fits

    7 Mounting and dismounting bearings

    8 Application examples

    Rolling bearings in industrial gearboxes

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    Rolling bearings inindustrial gearboxes

    Handbook for the gearbox designer

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    Foreword

    This Handbook is intended to provide the gearbox designer

    with the knowledge required to select bearings for gearboxes

    and to correctly design gearbox bearing arrangements. Recom-

    mendations are given based on experience gained by SKF

    during decades of cooperation with gearbox manufacturers the

    world over.

    General information regarding the selection, calculation,

    mounting and maintenance of ball and roller bearings is given

    in the SKF General Catalogue. The questions arising from the

    use of rolling bearings in industrial gearboxes are dealt with

    here. Data from the General Catalogue are only repeated here

    when it has been thought necessary for the sake of clarity.

    The application examples described comprise proven

    gearbox designs from major manufacturers which are worthy

    of note.

    Grateful thanks are extended to the companies concerned

    for the provision of the detailed information about their prod-

    ucts and the permission to publish.

    3

    Rolling bearings in industrial gearboxes

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    1 Industrial gearboxes overview............................... 9

    Types of gearbox............................................................ 9

    Geared transmissions....................................................10

    Demands made on gearboxes ...................................... 14

    Selecting the gears ........................................................14

    Designing the casing ..................................................... 15

    2 Bearing types for industrial gearboxes.................. 17

    Deep groove ball bearings ............................................ 18

    Angular contact ball bearings.......................................20

    Cylindrical roller bearings............................................. 22

    CARB roller bearings .................................................24

    Spherical roller bearings ............................................... 26

    Taper roller bearings...................................................... 28

    Spherical roller thrust bearings.................................... 30

    3 Design of bearing arrangements............................. 33

    Shafts and gear wheels in spur gearboxes ................. 33

    Shafts in bevel gearboxes............................................. 44

    Shafts in worm gearboxes.............................................50

    Shafts and gear wheels for planetary gearboxes........ 56

    Made by SKF stands for excellence. It symbolises

    our consistent endeavour to achieve total quality in

    everything we do. For those who use our products,

    Made by SKF implies three main benefits.

    Reliability thanks to modern, efficient products, based

    on our worldwide application know-how, optimised

    materials, forward-looking designs and the most

    advanced production techniques.

    Cost effectiveness resulting from the favourable ratio

    between our product quality plus service facilities, and

    the purchase price of the product.

    Market lead which you can achieve by taking

    advantage of our products and services. Increased

    operating time and reduced down-time, as well as

    improved output and product quality are the key to

    a successful partnership.

    Contents

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    5

    4 Calculation of bearing arrangement ....................... 65

    Bearing loads ................................................................. 65

    Determination of external forces.................................. 66

    Calculation of bearing loads......................................... 74

    Dimensioning the bearing arrangement ...................... 76

    5 Lubrication and maintenance.................................. 91Grease lubrication.......................................................... 92

    Oil lubrication................................................................. 95

    Maintenance ................................................................... 98

    6 Recommended fits..................................................103

    7 Mounting and dismounting bearings....................109

    Adjustment of angular contact bearings.................... 109

    8 Application examples............................................. 115

    Rolling bearings in industrial gearboxes

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    6

    SKF is an international industrial Group

    operating in some 130 countries and is

    world leader in bearings.

    The company was founded in 1907

    following the invention of the self-align-

    ing ball bearing by Sven Wingquist and,

    after only a few years, SKF began to

    expand all over the world.

    Today, SKF has some 43 000 em-

    ployees and more than 80 manufactur-

    ing facilities spread throughout the

    world. An international sales network

    includes a large number of sales com-

    panies and some 20 000 distributors

    and retailers. Worldwide availability of

    SKF products is supported by a com-

    prehensive technical advisory service.

    The key to success has been a con-

    sistent emphasis on maintaining the

    highest quality of its products and

    services. Continuous investment in

    research and development has also

    played a vital role, resulting in many

    examples of epoch-making innovations.

    The business of the Group consists

    of bearings, seals, special steel and a

    comprehensive range of other high-

    tech industrial components. The ex-

    perience gained in these various fields

    provides SKF with the essential know-

    ledge and expertise required in order

    to provide the customers with the most

    advanced engineering products and

    efficient service.

    The SKF Group a worldwide corporation

    SKF manufacturesball bearings, rollerbearings and plainbearings. The smal-lest are just a few

    millimetres (a frac-tion of an inch) indiameter, the largestseveral metres. Inorder to protect thebearings effectivelyagainst the ingressof contaminationand the escape oflubricant, SKF alsomanufactures oiland bearing seals.SKF's subsidiariesCR and RFT S.p.A.are among theworld's largest pro-ducers of seals.

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    7

    The SKF house colours are blue and red,but the thinking is green. The latest exampleis the new factory in Malaysia, where thebearing component cleaning process con-forms to the strictest ecological standards.Instead of trichloroethylene, a water-basedcleaning fluid is used in a closed system.The cleaning fluid is recycled in the factory'sown treatment plant.

    SKF has developed the Channel concept infactories all over the world. This drasticallyreduces the lead time from raw material toend product as well as work in progressand finished goods in stock. The conceptenables faster and smoother information

    flow, eliminates bottlenecks and bypassesunnecessary steps in production. TheChannel team members have the know-ledge and commitment needed to share theresponsibility for fulfilling objectives in areassuch as quality, delivery time, productionflow etc.

    The SKF Engineering & Research Centreis situated just outside Utrecht in TheNetherlands. In an area of 17 000 squaremetres (185 000 sq.ft) some 150 scientists,engineers and support staff are engaged inthe further improvement of bearing perform-ance. They are developing technologiesaimed at achieving better materials, betterdesigns, better lubricants and better seals together leading to an even better unders-tanding of the operation of a bearing in itsapplication. This is also where the SKFNew Life Theory was evolved, enabling thedesign of bearings which are even morecompact and offer even longer operationallife.

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    1 Industrial gearboxes overview

    Types of gearbox . . . . . . . . . . 9

    Geared transmission . . . . . . 10

    Demands on gearboxes . . . 14

    Selecting the gears . . . . . . . 14

    Designing the casing . . . . . . 15

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    9

    Industrial gearboxes overview

    Gearboxes are devices for the transmission or

    translation of movement. In industry gearboxes

    are used to transform the speeds and torques

    produced by the prime mover in order that

    they are appropriate to the machine which is to

    be driven. The speeds and torques required by

    the machine are dictated by its use. Prime

    movers can generally only meet these require-

    ments when combined with gears.

    Types of gearbox

    Gearboxes are characterised by having

    at least three members: the power in-

    put, power take-off and the casing. The

    casing transmits the support moment

    to the base.

    In contrast, a coupling has only two

    members: the power input and power

    1 Industrial gearboxes overviewTypes of gearbox

    P1

    M1

    PV

    P2

    M2

    n2

    n1

    P2P1M2

    Pv

    M1 n1 n2

    take-off. The coupling housing has no

    part in the flow of force.

    The symbols used for power

    transmission by gearboxes and coup-

    lings are shown in figs and .21

    Fig 1 Fig 2GearTorqueM1

    Rotational speedn1 n2>

    PowerP1 = P2+ Pv

    CouplingTorqueM1 = M2

    Rotational speedn1 n2

    PowerP1 = P2+ Pv

    (with slip)

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    Geared transmissions

    Geared transmissions are the most

    commonly used. They transmit power

    without slip, have high operational re-

    liability and long life, require little main-

    tenance and are characterised by the

    ability to accept overloading, small size

    and high efficiency.

    Spur gearsThe spur gear is the most well-known

    and commonly used design of geared

    transmission. The dimensioning and

    manufacture of the gear wheels are

    the easiest to control. Their kinematic

    behaviour also forms the basis of plan-

    etary gears. Spur gears are in rolling

    contact and, irrespective of tooth type,

    have parallel axes.

    1 Industrial gearboxes overviewGeared transmissions

    10

    The main types ofpower transmis-sion equipmentare shown in thefollowing.In addition, thereare many com-binations, for ex-ample bevel/spur

    gears, spur gearswith belt drive input,or variable tractiondrives combinedwith a planetarygear.

    Types of gearbox

    Fixed ratio transmissions,

    shift transmission

    Geared transmissions

    Spur gears

    Planetary gears

    Bevel gears

    Worm gears

    Hypoid gears

    Helical gears

    Eccentric drives

    Cyclo drives

    Harmonic drives

    Traction drives

    Belt drives

    Chain drives

    Infinitely variable

    transmissions

    Mechanical transmissions

    Belt drives

    Roller drives

    Ratchet gears

    Hydraulic transmissions

    Hydrostatic transmissions

    Hydrodyanmic transmissions

    Gear wheels with straight cut teeth

    ( fig a) are simple in design

    and can be accurately produced.

    The axial forces generated by in-

    accuracies and deformations

    (twisting) are negligible.

    Gear wheels with helical teeth

    ( fig b) run more smoothly and

    can carry heavier loads than those

    with straight cut teeth. A more elab-orate bearing arrangement is re-

    quired because of the axial forces.

    The double helix or herringbone

    ( fig c) allows for large tooth

    widths and can carry particularly

    heavy loads. The axial forces cancel

    each other out. Deviations in the

    helix angle cause axial vibrations.

    3

    3

    3

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    Internal gearing ( fig d) has

    greater load carrying capacity than

    external because of the favourable

    osculation, but is more difficult to

    produce. The bearing arrangement

    is more complicated. The most fre-

    quent use is in planetary gears.

    Bevel gearsThe common characteristic of this

    type of rolling contact gearing is that

    the axes of the wheels intersect each

    other. There are three basic designs

    categorised by the form of the flank.

    With straight cut teeth ( fig a),

    the mesh begins and ends across

    the total tooth width. The noise pro-duced considerably limits the use-

    fulness of straight cut bevel gears.

    Bevel gears with helical teeth

    ( fig b) have straight flanks.

    The teeth are usually ground and

    the mesh is gradual. The total over-

    lap is bigger and the noise behav-

    iour better than with straight cut

    teeth.

    4

    4

    3 Bevel gears having spirally cut teeth

    ( fig c) with curved flanks have

    clear advantages in respect of load

    carrying capacity. Particularly those

    with ground teeth are quieter than

    the types described above. For

    bevel gears which have to transmit

    high power, the spiral bevel gears

    are the most frequently used.

    4

    Spur gear unita) straight cut teethb) helical teethc) double helixd) internal gearing

    11

    1 Industrial gearboxes overviewGeared transmissions

    Fig 3

    Fig 4

    a b c d

    Bevel gear unita) straight cut teethb) helical teethc) spirally cut teeth

    a b c

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    1 Industrial gearboxes overviewGeared transmissions

    Worm gearsThe worm and wheel axes cross each

    other at a considerable distance and

    usually at an angle < 90 ( fig ).

    Worm gears are suitable for large

    single stage speed reduction. Their

    operation is quiet and vibration damp-

    ing. The efficiency is lower than that ofcompeting bevel/spur and planetary

    gears, because of the higher propor-

    tion of sliding motion. To reduce the

    friction, the use of synthetic lubricants

    is favoured.

    The most commonly used design is

    the cylindrical worm paired with a glob-

    oid wheel ( fig a). The cylindrical

    worm can be hardened and ground

    which improves load carrying capacity;

    it is also freely adjustable in the axial

    direction so that bearing arrangement

    and mounting can be simplified. Two

    other designs globoid worm with spur

    wheel ( fig b) and globoid worm

    with globoid wheel ( fig c) are

    also used.

    Depending on the flank form, the

    worm types are classified as follows:

    ZA worm: trapezoidal worm thread

    in the axial cross section; ZN worm: trapezoidal worm thread

    in the normal cross section;

    ZK worm; trapezoidal tool (in normalcross section); ZI worm; evolvent thread in end face

    cross section; ZC worm: concave worm flanks

    6

    6

    6

    6

    Hypoid gearsThe pinion axis is displaced so that the

    axes of this type of bevel gear do not

    intersect but are crossed ( fig ).

    The wheels of hypoid gears are usu-

    ally spirally cut. The advantages of this

    type of gear derive from the larger pin-

    ion and thus the smaller circumferential

    force for the same torque, as well as

    from the axis displacement which often

    allows the pinion to be supported at

    both sides so that the bearing arrange-

    ment is stiffer. The noise behaviour is

    also improved by the sliding motion in

    the longitudinal direction of the teeth.

    However, the additional sliding motion

    increases the friction, wear and risk

    of smearing and requires the use ofhypoid oils with high additive content.

    5

    12

    Fig 5Hypoid gear unit

    Fig 6

    a b c

    Worm gear unita) cylindrical worm

    with globoidwheel

    b) globoid wormwith spur wheel

    c) globoid wormwith globoidwheel

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    H

    S

    P

    Z

    The ZI and ZC designs are the most

    popular. The ZI worm can be very ac-

    curately ground whilst the favourable

    osculation conditions of the ZC worm

    (concave worm, convex wheel) bring

    load carrying advantages.

    Planetary gearsFrom the point of view of the tooth

    flanks, planetary gears are mostly spur

    gears. In contrast to the spur gear units

    so far described, the shafts of which

    are supported in stationary casings,

    the planetary gear unit has gear wheels

    which circulate. They are also referred

    to as epicyclic gears.

    In the simplest design ( fig ),

    which is that most commonly used in

    industry, the sun wheel drives the plan-

    etary wheels (when acting as a speed

    reducer). These are supported in the

    hollow wheel and drive the planetary

    carrier from which the power is taken

    off.

    Planetary gears have the following

    important advantages compared with

    conventional spur gear units:

    the volume, weight and centrifugal

    mass are smaller; the rolling and sliding velocities in

    the mesh are lower, so that noise is

    reduced; some of the power is transmitted as

    coupling power, so that efficiency is

    higher.

    These advantages have led to a

    continuous increase in the economic

    importance of planetary gear units in

    spite of their disadvantages which

    include more difficult inspection, main-

    tenance and repairs.

    7

    1 Industrial gearboxes overviewGeared transmissions

    Simple planetarygear unit (prin-ciple)Z sun wheel P planetary wheelH hollow wheelS planetary carrier

    13

    Fig 7

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    Demands made ongearboxesThe most important demands which

    must be fulfilled are:

    there must be a sufficient safety

    margin in respect of fatigue and/orrequisite life for all components so

    that the torques and speeds can be

    reliably transmitted; there must be sufficient cooling even

    under maximum power transmission

    conditions; noise emission should not exceed

    the permitted limits.

    In addition to these demands, special

    requirements in respect of operation

    and design are dictated by the various

    applications. Some examples:

    radial and/or axial forces on the in-

    put and output shafts, e.g. for ex-

    truders; external forces on the casing, e.g. in

    mining; heavy impacts, torque peaks, e.g.

    when driven by single cylinder com-

    bustion engines or when driving

    bucket excavators; vibrations, e.g. in wire drawing;

    extreme environmental influencesin respect of temperature, dirt, dust,

    water, e.g. in arctic or tropical open

    cast mining and in continuous cast-

    ing plant; seals subjected to pressure, e.g. in

    submerged gearboxes of dredgers

    or in mixing equipment in the chemi-

    cal industry; reversing operation, e.g. for rolling

    mills; return stop, e.g. for conveyors; operation with little or no clearance

    and torsional stiffness, e.g. for posi-tioning antennae and for robots;

    precision, e.g. for printing presses; lubrication with non-flammable lub-

    ricants, e.g. in mining; minimum maintenance, e.g. in wind

    power plant; arrangement, e.g. slip-on gears for

    converters; accessibility of measuring points to

    monitor lubrication, temperature,

    vibrations or torque, e.g. for large

    plastic extruders.

    Selecting the gears

    To avoid either under or over-dimen-

    sioning a gear unit the load and the

    load carrying capacity of the gear must

    be able to be determined as accurately

    and reliably as possible. The size is

    correctly chosen when a comparisonof the load spectrum and the load

    carrying capacity gives the desired

    service life. The determination of the

    load spectrum is a time-consuming

    and costly exercise calling for con-

    siderable measurements. Therefore,

    dimensioning is usually based on the

    rated torque of the driven machine,

    i.e. the operating torque for the most

    arduous work conditions. For a rolling

    mill, for example, this is the maximum

    continuous rolling torque (not the initial

    entry). The actual loads are higher

    because of additional external forces,

    produced by accelerations and vibra-

    tions, for example. When calculating

    the load carrying capacity of the gear

    wheels, these additional loads are

    considered by an application factor

    KA according to DIN 3990.

    One standard work on the subject

    lists the following criteria for evaluating

    the load carrying capacity of gear whe-

    els:

    resistance to pitting (tooth flank

    fatigue), root strength (tooth fracture from

    fatigue), resistance to scuffing (hot tooth

    flank welding), wear strength (slow wear of tooth

    flanks), grey spot resistance (fatigue from

    micro pores on the tooth flanks, and lubricant film formation.

    The load carrying capacity which isused as the basis for dimensioning

    gear wheels is determined in rig tests

    under standard conditions (partly stand-

    ardised: FZG test to DIN 51 354).

    14

    1 Industrial gearboxes overviewDemands made on gearboxes/Selecting the gears

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    2 Bearing types for industrialgearboxes

    Deep groove ball bearings . 18

    Angular contact ball

    bearings . . . . . . . . . . . . . . . . 20

    Cylindrical roller bearings . . 22

    CARB roller bearings . . . . 24

    Spherical roller bearings . . . 26

    Taper roller bearings . . . . . . 28

    Spherical roller thrust

    bearings . . . . . . . . . . . . . . . . 30

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    For the support of the shafts and gear wheels of

    industrial gearboxes, rolling bearings are used

    almost exclusively. The exceptions are in some

    specialised areas, such as turbo drives, where

    hydrodynamic plain bearings are used.

    There are many good reasons for this

    dominance of rolling bearings:

    good location with minimum radial

    and axial play enables optimum

    meshing to be achieved; high specific load carrying capacity

    with low friction; wide range of internationally stand-

    ardised products produced in high

    volumes at reasonable prices and

    having good availability; can be calculated using reliable load

    carrying capacity values; little design work for the user; simple arrangement; axially compact so that short and

    stiff shafts can be used; normal tolerances and surface fin-

    ishes for shaft and housing seatings;

    less sensitive to misalignment thanplain bearings;

    ability of radial bearings to accept

    axial loads; not influenced by direction of load or

    rotation; low starting torque; no starting problems in intermittent

    operation; relatively easy to lubricate; favourable behaviour under emer-

    gency conditions; economic maintenance.

    Almost all bearing types are used in

    industrial gearboxes and almost all the

    available sizes. In the majority of appli-

    cations, standard catalogue bearings

    can be used; any variants with respect

    to clearance or cage design are also

    generally common, so that the com-

    prehensive range of SKF cataloguebearings for general engineering appli-

    cations covers the needs of gearboxes

    very well and enables the designer to

    make an optimum selection. The most

    important bearing types for gearboxes

    are described in more detail in the

    following.

    Bearing types forindustrial gearboxes

    17

    2 Bearing types for industrial gearboxes

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    18

    2 Bearing types for industrial gearboxesDeep groove ball bearings

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    2 Bearing types for industrial gearboxesDeep groove ball bearings

    Deep groove ballbearingsDeep groove ball bearings are the

    most popular of all bearing types and

    this also applies for gearboxes. The

    most important characteristics which

    make them so popular are

    they are able to carry radial loads

    as well as axial loads acting in both

    directions; they are suitable for high and very

    high speed operation as their friction

    is low; they have practically no tendency to

    smear, i.e. cold welding when the

    balls are accelerated; they run quietly, particularly if they

    are lightly preloaded by axial force; they are robust in operation and

    require little maintenance; they are favourably priced.

    The dominant role for deep groove ball

    bearings is where shafts have to be

    located axially and loads are relatively

    light. This is the case in

    spur gear units (drive shaft and hol-

    low take-off shaft), multi-ratio gear units (switching spur

    gear wheels), geared motors worm gear units (worm wheels), planetary gears (drive shaft, planet-

    ary carrier) and coupling shafts.

    These improvements also bring ad-

    vantages when the bearings are used

    in gearboxes. In particular the reduced

    sensitivity to misalignment means that

    there is no reduction in bearing life

    under the slight misalignments of up to

    approximately 3 minutes of arc which

    are normally encountered. The im-proved surfaces reduce friction lead-

    ing to lower running temperatures so

    that lubrication conditions are im-

    proved and bearing life extended.

    19

    Benefits offeredby SKF In recent years SKF has made a

    number of improvements to deep

    groove ball bearings which have

    resulted in further performance

    enhancements. The more import-

    ant include

    optimised raceway geometry

    and finish, reducing friction, run-

    ning noise and sensitivity to

    misalignment; improved cages which are more

    stable, thus increasing reliability

    at high speeds; improved seals, thus enhancing

    the sealing efficiency of sealed

    bearings.

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    20

    2 Bearing types for industrial gearboxesAngular contact ball bearings

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    Angular contact ballbearingsThe raceways of these bearings are

    arranged at an angle to the bearing

    axis (contact angle), so that they are

    able to carry heavier axial loads than

    deep groove ball bearings. Slidingmovements of the balls are superim-

    posed on their rolling motion, so that

    the single row bearings require ac-

    curate adjustment or a minimum

    axial load to function properly.

    Angular contact ball bearings are

    available in the following designs:

    single row, single direction angular

    contact ball bearings, double row, double direction and

    paired single row angular contact

    ball bearings and four-point contact ball bearings, i.e.

    single row, double direction ball

    bearings.

    Single direction implies that axial

    loads acting in one direction only can

    be accommodated, whereas double

    direction bearings (and paired single

    direction bearings, depending on the

    arrangement) can take axial loads

    acting in both directions.

    The single and double row angularcontact ball bearings are preferred

    as locating bearings for worm shafts.

    Four-point contact ball bearings are

    used primarily as thrust bearings in

    high speed spur gear units, where the

    outer ring is radially free.

    The improvements made by SKF

    to single and double row angular

    contact ball bearings, e.g. reinfor-

    cement of the ball set (single row

    BE design, double row A and E

    designs) to give higher load carry-

    ing capacity means that worm gear

    units can transmit more power

    and, at the same time, the reduc-

    tion in friction means that bearing

    temperature can be lowered. The

    reduced tolerances for axial clear-

    ance and for dimensional and run-

    ning accuracy which are standard

    for SKF single row angular contact

    ball bearings for paired mounting

    of the CB design, because of the

    improved location and reduced

    running noise, are advantageous

    in low-noise worm gear units suchas those required for lifts and

    escalators.

    21

    2 Bearing types for industrial gearboxesAngular contact ball bearings

    Benefits offeredby SKF

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    22

    2 Bearing types for industrial gearboxesCylindrical roller bearings

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    2 Bearing types for industrial gearboxesCylindrical roller bearings

    Cylindrical rollerbearingsThe special properties of cylindrical

    roller bearings make them a popular

    choice for gearboxes and include:

    high radial load carrying capacity; low friction the lowest of any roller

    bearing under purely radial load; suitable for a wide range of operating

    speeds, including very high speeds,

    as the cage has the correct combina-

    tion of roller guidance, strength and

    sliding friction properties; ability to accommodate moderate

    axial loads, when they are simulta-

    neously under radial load, via the

    slid-ing surfaces of the roller

    end/flange contact, although the inc-

    reased

    friction means that lubrication and

    cooling must be adapted to the

    conditions; the ease with which lateral displace-

    ment can take place within the bear-

    ing makes them ideal as non-locat-

    ing bearings; proven good performance under

    external radial accelerations; most designs are separable so that

    mounting and dismounting are

    simple.

    These characteristics make cylindrical

    roller bearings ideal for the following

    applications:

    as the non-locating bearings of all

    high-performance units; the NU

    design with its flangeless inner ring

    is perhaps the most used, but also

    the NJ, NJG and NCF find applica-

    tion; the rings of these bearings

    need only be axially located at one

    side, and by mounting the rings withrelative axial displacement the bear-

    ings can accommodate lateral

    displacement in both directions. in spur gear units, even where com-

    bined radial and axial loads are pro-

    duced by the helical teeth; the most

    popular positions are those on the

    intermediate shaft, as the axial forces

    from the driven and driving wheels

    generally act in opposite directions

    so that the resultant axial load is

    light.

    Practically all improvements made

    to cylindrical roller bearings by SKF

    could be considered as tailored to

    gearbox needs, so that they make

    an appreciable contribution to in-

    creased performance. The main

    characteristics are

    the reinforced roller complements

    and opened flanges of the EC

    design give increased radial and

    axial load carrying capacity; the logarithmic roller profile en-

    sures an optimum stress distribu-

    tion over the whole roller length

    so that edge stresses are avoid-

    ed even under heavy loads and

    the permissible misalignments; the refined raceway micro-geo-

    metry reduces friction and im-proves lubricant film formation; newly developed cages ensure

    proper bearing function over the

    increased performance range;

    the standard polyamide cages

    (designation suffix P) of small

    bearings have low friction, are

    elastic and have good sliding

    properties;

    the steel window-type cages

    (designation suffix J) which are

    standard for medium-sized bear-

    ings and can also be fitted to thesmaller sizes (to special order)

    withstand high temperatures

    and also medium to strong vib-

    rations;

    the machined brass cages (for

    gearbox bearings preferably out-

    er ring centred and in two parts,

    designation suffix MA, or in one

    piece, suffix MP or ML) are stan-

    dard for large bearings and can

    be fitted to other sizes to special

    order; they can tolerate high

    speeds and are resistant to vib-

    rations and accelerations.

    The range of cylindrical roller bearings

    is large compared with other bearing

    types. The various flange configurations

    (NU, NJ, NUP, N and NCF designs)

    make the bearings suitable for a multi-

    tude of applications and the different

    cage designs extend the usefulness of

    these bearings.

    23

    Benefits offeredby SKF

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    2 Bearing types for industrial gearboxesCARB roller bearings

    24

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    CARB roller bearingsCARB is a completely new type of

    bearing: a Compact Aligning Roller

    Bearing. This single row roller bearing,

    developed by SKF, is characterised by

    a combination of properties whichmake it interesting for a multitude of

    applications:

    the ability to compensate for angular

    misalignments or initial errors of

    alignment typical of spherical roller

    bearings; the ability to take up axial displace-

    ments in the bearing itself typical of

    cylindrical roller bearings; the low cross section typical of

    needle roller bearings; the high radial load carrying capacity

    imparted by long sphered rollers; the low friction obtained from optim-

    ally matched raceway profiles; the quietness of operation.

    Because of its many advantages, the

    CARB makes an ideal non-locating

    bearing. The points in favour of its use

    in industrial gearboxes include, in addi-

    tion its compact design and high radial

    load carrying capacity even when

    misaligned, the potential for downsiz-ing or increasing operational reliability

    or the power rating. The CARB is par-

    ticularly suitable for the bearing

    arrange-ments of

    heavily loaded shafts in spur

    gearboxes, pinion shafts in bevel gearboxes,

    and planetary gears.

    Two versions of CARB are available:

    a bearing with cage and a full comple-ment bearing.

    SKF has introduced a completely

    new roller bearing, the CARB. It is

    the only bearing available which

    combines the advantages of three

    different bearing types without, at

    the same time, incorporating their

    disadvantages. For gearbox ap-

    plications, these advantages trans-

    late into the following opportunit-

    ies for enhanced performance.

    Up to 30 % higher load carrying

    capacity at the bearing position

    combined with small radial

    space requirements The low cross section allows

    downsizing or increased per-

    formance Compensation for errors of po-

    sition and also form of bearingseatings in housings thus allow-

    ing machining costs to be

    reduced Both bearing rings can be

    mounted with an interference fit

    so that there will be no wear in

    the bore and no additional axial

    loads under conditions of axial

    displacement Quiet running and little vibration

    Benefits offeredby SKF

    25

    2 Bearing types for industrial gearboxesCARB roller bearings

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    26

    2 Bearing types for industrial gearboxesSpherical roller bearings

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    Spherical roller bearingsThe self-aligning capability (also in

    operation) of spherical roller bearings

    makes their use advantageous where

    shaft bending occurs or where there

    are errors of alignment between shaftand housing (casing). They are there-

    fore used in all cases where misalign-

    ment of the bearing rings would pro-

    duce inadmissible edge stresses if rigid

    bearings were used. Additional import-

    ant characteristics make the spherical

    roller bearing a reliable all-rounder for

    gearbox applications. These include

    the high radial load carrying capacity

    and the ability to accommodate axial

    loads acting in both directions; the wide range of dimension series

    and very wide range of sizes even very large sizes.

    The many successful development

    refinements and the improved charac-

    teristics resulting from them explain

    the popularity of spherical roller bear-

    ings for gearboxes (particularly in spur,

    bevel and planetary gear units).

    The design and functional charac-

    teristics substantiate the leading

    position of SKF spherical roller

    bearings:

    long, symmetrical rollers give

    very high load carrying capacity; the floating guide ring between

    the rows of rollers ensures that

    the rollers are properly guided

    (without wobble) into the load-

    ed zone and, in cases where

    axial loads predominate, that the

    load is correctly carried by the

    rollers and symmetrically distrib-

    uted over the roller length; the special form and optimum

    surface finish of the raceways

    minimise friction and operating

    temperature enabling highspeed operation; the latest development the E

    design has even higher load

    carrying capacity as the bearing

    section is more efficiently ex-

    ploited; the position of the guide ring

    above the pitch diameter in the

    E design favours lubricant film

    formation between the rollers

    and guide ring; all SKF spherical roller bearings

    are fitted with robust metalliccages which perform well even

    under arduous conditions.

    27

    2 Bearing types for industrial gearboxesSpherical roller bearings

    Benefits offeredby SKF

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    28

    2 Bearing types for industrial gearboxesTaper roller bearings

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    Taper roller bearings

    The tapered form of the raceways

    makes these bearings eminently suit-

    able for combined radial and axial

    loads. There is a choice of contact

    angles so that the appropriate bearing

    for the particular combination of radialand axial loads can be found. The

    necessity for functional reasons to use

    two bearings adjusted against each

    other enables the force distribution on

    the rollers to be controlled so that maxi-

    mum life can be obtained at the same

    time as the stiffness and guidance of

    gear shafts can be optimised. The

    main gearbox applications are

    spur gear units with helical teeth, bevel and bevel/spur units and worm gear units.

    As taper roller bearings can support

    very heavy loads, they are always

    used when the load carrying capacity

    of other bearings for combined load

    conditions (deep groove and angular

    contact ball bearings) is inadequate.

    Because the raceways are at an

    angle to the bearing axis, an internal

    axial force is produced when the bear-

    ing is radially loaded, which acts on

    the housing via the outer ring andcan deform it. With larger units (from

    approximately 90 mm shaft diameter)

    and specifically high performance

    requirements, the casing walls are

    often not sufficiently stiff, so that the

    use of double row or paired single row

    taper roller bearings (or spherical roller

    bearings) is recommended, because

    the internal axial forces cancel out

    each other and the casing walls will

    not be deformed.

    Paired single row taper roller bear-

    ings in a face-to-face arrangement(designation suffix DF) are always used

    when the preset axial play can be ex-

    ploited and when adjustment during

    mounting is to be avoided.

    SKF taper roller bearings have a

    number of advantages which make

    them suitable for industrial gear-

    boxes. These include

    the ideal form and optimum

    finish of the roller end/guide

    flange contact enable hydrody-

    namic lubrication to be achieved

    and mixed lubrication conditions

    avoided, so that the critical run-

    ning-in process normally re-

    quired when commissioning a

    gearbox is not needed; the logarithmic raceway profiles

    guarantee optimum stress dis-

    tribution over the whole roller

    length and prevent edge

    stresses;

    the improved surface topographyof the raceways enhances lubric-

    ant film formation and reduces

    bearing noise.

    29

    2 Bearing types for industrial gearboxesTaper roller bearings

    Benefits offeredby SKF

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    machine, e.g. in extruder gearing and

    water turbine gearboxes. The bearings

    are used successfully as thrust bear-

    ings for the pinion and worm shafts of

    large and very heavily loaded bevel

    and worm gear units.

    Spherical roller thrustbearingsThe special feature of these bearings

    is their self-aligning capability. This

    means that their full load carryingcapacity can be utilised, in contrast to

    the very stiff cylindrical roller thrust

    bearings, even when the bearing

    washers are slightly out of alignment

    with each other. The even distribution

    of load is still maintained when there

    are small angular misalignments of the

    seating surfaces. Such misalignments

    would considerably shorten the life of

    cylindrical roller thrust bearings.

    Spherical roller thrust bearings are

    used in gearboxes, particularly where

    axial forces are produced by the driven

    30

    2 Bearing types for industrial gearboxesSpherical roller thrust bearings

    SKF spherical roller thrust bearings

    have particularly low friction thanks

    to the special roller end/flange

    contact geometry.

    Benefits offeredby SKF

    Marine gearboxwith sphericalroller bearings,cylindrical rollerbearings, four-point contact ballbearings andspherical rollerthrust bearings

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    31

    2 Bearing types for industrial gearboxes

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    3 Design of bearingarrangements

    Shafts and gear wheels

    in spur gearboxes . . . . . . . . 33

    Shafts in bevel gearboxes . . 44

    Shafts in worm gearboxes . 50

    Shafts and gear wheels for

    planetary gearboxes . . . . . . 56

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    It is quite possible that several different bearing

    types are used in one gearbox, and where com-

    bined gear units are concerned, there are sev-eral types of gearing. A stepwise approach is

    therefore appropriate when selecting bearings,

    taking each shaft in turn so that the different

    conditions for the individual shafts and gear

    wheels can be fully considered. The bearing

    arrangements described in the following are

    well proven and the conditions specific to a

    certain shaft are covered. A presentation of the

    most commonly used bearing series facilitates

    the initial selection.

    Design of bearingarrangements

    Shafts and gear wheelsin spur gearboxesSpur gearboxes are generally used to

    reduce speed. There are three main

    types which differ in the way they are

    mounted: stationary units (mounted on

    the machine base), cartridge units

    (mounted on the drive shaft of the

    driven machine) and flanged units

    (flanged to the casing of the prime

    mover and/or driven machine).

    The drive from the prime mover isvia a coupling or a belt. The drive is

    transmitted to the driven machine via a

    coupling, a quill shaft connection or via

    a pinion.

    Input shaftsThe input (drive) shafts have the high-

    est speeds and lightest loads provided

    no additional external loads have to be

    considered, e.g. belt tension forces.

    Vibrations and imbalance forces may

    be produced by the prime mover. It is

    also necessary to consider the prob-

    33

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

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    lems of high angular accelerations

    when starting without load as well as

    operation without load at maximum

    speed in order to prevent bearing dam-

    age caused by the rolling elements

    sliding on the raceways. There is a

    danger of this occurring when loads

    are suddenly applied. The temperature

    differences and the associated thermal

    expansions in the radial and axial

    directions are high for input shafts, as

    the speed related large power loss and

    relatively small masses as well as therelatively small surface of the pinion

    shaft mean that there is insufficient

    heat removal. The distance between

    bearings is dictated by the casing and

    the low torque often means that slim

    shafts are used. This means that shaft

    bending and bearing misalignment must

    be taken into account, particularly if a

    belt drive is used.

    Two deep groove ball bearings

    arranged for cross location ( fig )

    provide a cost-favourable bearing ar-

    rangement for moderate power require-

    ments. Deep groove ball bearings aresuitable for high-speed operation. Be-

    cause of the low friction, small quanti-

    ties of oil are adequate for lubrication

    and cooling so that the collected oil

    splashed by the gear wheels dipping

    into the oil bath is generally sufficient.

    In order to prevent axial clamping of

    the bearings being caused by thermal

    expansion of the shaft there should be

    sufficient axial clearance between the

    outer ring and the cover.

    For shaft diameters of up to approx-

    imately 90 mm, two taper roller bear-

    ings arranged face-to-face ( fig )

    are advantageous both from technical

    and cost considerations. The taper

    roller bearings are adjusted against

    each other via the cover so that they

    will have zero clearance when at the

    operating temperature or, for reasons

    of stiffness, they may have a slight pre-

    load. When determining the initial axial

    clearance it is necessary not only to

    consider the temperature differential

    between shaft and casing but also thedeformation of the shaft and, above all,

    the casing. The casings of larger units

    are often not stiff enough with respect

    to the axial forces (tooth force + in-ternal axial forces in the bearings). In

    such cases bearing adjustment is dif-

    2

    1

    Bearing arrange-ment for an inputshaft with twocross-locateddeep groove ballbearings

    Bearing arrange-ment for an inputshaft with twocylindrical rollerbearings

    Bearing arrange-ment for an inputshaft with twotaper roller bear-ings arrangedface-to-face

    34

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

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    ficult and shaft guidance is not suffici-

    ent-ly accurate. The taper roller bear-

    ing arrangement shown is, therefore,

    not always suitable.

    Cylindrical roller bearings ( fig )

    have a high radial stiffness and guide

    the shaft very accurately without having

    to be adjusted as taper roller bearings.Axial forces are transmitted via the

    flanges and roller ends. Because this

    causes more frictional heat, lubrication

    and cooling must be particularly good.

    In order to prevent axial clamping of

    the bearings when thermal expansion

    of the shaft takes place, there should

    be adequate axial play between the

    flanges.

    The classical locating/non-locating

    arrangement ( fig ) is more com-

    plicated from a design point of view

    than the cross-located arrangements

    described above, as the inner and

    outer rings must be axially located at

    both sides. However, it has advant-

    ages with regard to dimensioning as

    the axial force is always taken up by a

    given bearing in this case the spher-

    ical roller bearing irrespective of the

    direction of the load. Additionally,

    displacement of the non-locating bear-

    ing is always assured so that there is

    no risk of axial clamping occurring

    when the shaft expands.Two NU-design cylindrical roller bear-

    ings as radial bearings together with a

    four-point contact ball bearing as the

    thrust bearing ( fig ) have proved

    suitable for very high-speed operation

    (up to n dm 1 000 000). For such

    5

    4

    3

    high-speed operation the bearings

    must have

    machined brass cages, centred in

    the outer ring, increased internal clearance: C3 for

    the cylindrical roller bearings and

    C4 for the four-point contact ballbearing, and

    seatings having increased accuracy

    of form and position (IT4/2).

    At high circumferential speeds the

    bearings will reject normal oil supplies.

    Therefore, it is necessary to inject oil

    at high speed (v 15 m/s) into thegap between cage and inner ring. Oil

    drainage facilities should be provided

    at the injection side of the bearings.

    35

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Bearing arrange-ment for an input

    shaft with twocylindrical rollerbearings as theradial bearingsand a four-pointcontact ball bear-ing as the thrustbearing

    Classiclocating/non-locating bearingarrangement witha spherical rollerbearing and acylindrical rollerbearing

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    other bearing types or arrangements

    which are less unfavourable in respect

    of casing deformation.

    In comparison with input shafts,

    the axial loading of cylindrical roller

    bearings used to support intermediate

    shafts ( fig ) is less critical. The

    axial forces at the gears act in oppos-ite directions and cancel each other

    out, at least partially, so that the axial

    load on the bearings is light. Also the

    speeds are lower so that frictional

    losses deriving from the axial load

    remain small.

    The high radial load carrying capa-

    city of the cylindrical roller bearings is

    an advantage as the intermediate shaft

    bearings are heavily loaded. The choice

    between caged or full complement

    cylindrical roller bearings is determined

    primarily by the factors load, speed,

    lubrication conditions, friction and

    cost.

    Compared with the input shaft, there

    is only a small temperature gradient

    between the intermediate shaft and the

    casing. This makes it possible to use

    spherical roller bearings in a cross-

    located arrangement as shown in

    fig which is simple in design and

    therefore cost-favourable.

    There is a wide range of spherical

    roller bearings available, particularlyfor medium and large shaft diameters,

    and there is also a choice of several

    cross sections for each diameter. It is

    thus possible to easily find bearings

    which can support the heavy loads

    acting on the intermediate shaft but

    8

    7

    Intermediate shaftsIntermediate shafts are the most heav-

    ily loaded as they are subjected to the

    forces from two gear meshes. The

    speeds are moderate. The axial forces

    on pinion and wheel oppose each

    other when the direction of the teeth is

    the same so that they partially balanceeach other. There are no additional

    external forces but vibrations may be

    transmitted from the input or output

    shafts. As there is no torque acting at

    the shaft ends, reasonably small dia-

    meters can be used enabling a rela-

    tively large bearing section to be util-

    ised for the accommodation of the

    high radial forces. Design limits for the

    bearing outside diameter are set by

    the distance between input and output

    shafts.

    When using taper roller bearings

    ( fig ) it should be remembered

    that axial forces are produced even

    though the load is purely radial. This

    may lead to axial deformation of the

    casing. These deformations occur

    in the central, less stiff region of the

    casing because of the position of the

    intermediate shaft, and are larger

    than for the input shaft. They lead to a

    change in position of the shaft and can

    therefore cause inadmissibly high mis-

    alignment of the bearings and themesh.

    Experience shows that the casing

    deformations occurring in smaller units

    with shaft diameters up to 90 mm are

    generally within acceptable limits. For

    larger units it is necessary to resort to

    6

    36

    Bearing arrange-ment for an inter-mediate shaft withtwo taper rollerbearings arrangedface-to-face

    Bearing arrange-ment for an inter-mediate shaft withtwo cylindricalroller bearings

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

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    which have outside diameters within

    the limits set by the distance between

    the shafts.

    A locating/non-locating bearing

    arrangement as per fig with a

    spherical roller bearing at the locating

    side and a CARB as the non-locating

    bearing offers the possibility of reduc-ing the cross section of the non-locat-

    ing bearing arrangement, because of

    the high load carrying capacity of the

    CARB, so that the available space can

    be better exploited. In many applica-

    tions there is a risk that the bearing

    seating in the housing will be ham-

    mered out so that an intermediate

    sleeve must be incorporated. By using

    a CARB bearing this is no longer a

    problem as the outer ring is mounted

    with an interference fit in the housing,

    so that a sleeve is not needed.

    9

    37

    Bearing arrange-ment for an inter-mediate shaft withtwo sphericalroller bearings

    Bearing arrange-ment for an inter-mediate shaftwith one sphericalroller bearing(locating) andone CARB (non-locating bearing)

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Fig 9

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    (EHD) lubrication, i.e. the formation

    of a separating lubricant film between

    rolling elements and raceways, cannot

    be achieved. Operating bearings

    under conditions of mixed friction or

    boundary lubrication will result in wear

    and shorter bearing life. Besides rota-

    tional speed, operating temperatureand lubricant viscosity are the most

    important factors determining EHD

    lubrication.

    There is a limit to how high the

    viscosity of the oil can be because

    consideration must be paid to the

    high-speed gears and bearings in the

    unit. Therefore, a cooling of the gear-

    box in the region where the low-speed

    bearings of the drive shaft are situated

    is often the most effective means of

    increasing bearing life. Suitable ad-

    ditives in the oil can also contribute

    to a reduction in wear.

    Other factors influencing drive shaft

    bearings depend on the gearbox design:

    In stationary, base-mounted gear-

    boxes, depending on the type of

    power take-off, it is necessary to

    consider the forces of the coupling,

    the propeller shaft, a pinion or of the

    directly coupled driven machine

    (e.g. extruders).

    Bearing arrange-ment for an outputshaft with two

    spherical rollerbearings

    Locating/non-locating bearingarrangement foran intermediateshaft with twomatched singlerow taper rollerbearings and one

    cylindrical rollerbearing

    The locating/non-locating arrange-

    ment shown in fig can carry very

    heavy radial as well as axial loads.

    Two matched single row taper roller

    bearings (DF execution) are used for

    the locating arrangement. In contrast

    to the cross-located bearing arrange-

    ments shown in figs 2 and 6, the inter-nal axial forces of the taper roller bear-

    ings compensate each other within the

    bearing pair and do not deform the

    casing. The intermediate ring supplied

    with the bearing pair ensures that there

    is a minimum axial clearance within the

    bearings. This is adequate for temper-

    ature differentials between shaft and

    casing of up to 20 C. To avoid deform-

    ation of the thin-walled inner ring as

    the cover screws are tightened, the

    length of the centring surface (spigot)

    of the cover should be chosen to give

    a preload of approximately 0,01 mm.

    Drive (output) shaftsThe conditions for the drive shafts

    are characterised by high torques

    and low speeds. The torque calls for

    a large shaft diameter so that the

    requisite load carrying capacity can be

    obtained even when using bearings

    with low cross sections. There are

    potential problems with lubrication of

    the rolling contacts if, because of thelow speeds, elastohydrodynamic

    10

    38

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

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    The bearings in cartridge-type gear-

    boxes are subjected to the reac-

    tionary forces of the torque support.

    Additional forces may also be pro-

    duced as a result of casing deforma-

    tion. The casings of flanged gearboxes

    are bolted to the driven machine.The shafts are generally rigidly

    coupled so that the double support

    of the output shaft becomes a mul-

    tiple support in practice. Centring

    errors of the coupled components

    produce additional forces in the

    bearings so that narrower tolerances

    for the centring should ensure the

    accuracy of alignment of the bearing

    arrangement.

    The arrangement with spherical roller

    bearings ( fig ) is especially suit-

    able for applications where rough

    operation, external additional forces,

    misalignments and shock loads place

    heightened demands on the bearings.

    Axial shock loads are taken up by the

    less sensitive raceways in the absence

    of flanges on the rings.

    For cartidge-type gearboxes, the

    relatively large diameters of the hollow

    shaft mean that bearings having low

    cross section are suitable. Fig

    shows a well-proven bearing arrange-ment incorporating full complement

    12

    11

    cylindrical roller bearings of series

    NCF 29 V. For lighter loads but with

    similar diameters, deep groove ball

    bearings of series 619 can be used

    in the same arrangement. For heavier

    loads as well as larger deformations,

    but still with the same diameters and

    arrangement, spherical roller bearingsof series 239 are appropriate. Deep

    groove ball and spherical roller bear-

    ings have cages and are thus less

    susceptible to wear when inade-

    quately lubricated than full comple-

    ment bearings.

    Intermediate gear wheelsAn internal bearing arrangement is

    most suitable for intermediate gears

    as it takes up the least space. Internal

    bearing arrangements are character-

    ised by rotating outer rings. Therefore,

    there is rotating outer ring load and

    stationary inner ring load. This means

    that the outer rings should have inter-

    ference fits and the seatings should be

    very accurately machined in order to

    keep the rotating inaccuracies which

    cause increased friction and additional

    forces on the bearing cage to a mini-

    mum.

    With opposing meshes the circum-

    ferential forces are added, so that high

    radial load carrying capacity is re-quired. The axial forces from the

    39

    Bearing arrange-ment for an outputshaft of a cart-ridge-type unitwith full comple-ment cylindrical

    roller bearings ofseries NCF 29 V

    Bearing arrange-ment for an inter-mediate gearwheel with twocylindrical roller

    bearings of theNJ design

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

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    the inner ring) oil should be supplied at

    the side. To prevent the supplied oil

    from being rejected by the bearing, the

    seal gap at the supply side should not

    exceed 1 mm.

    Shifting gear wheels

    For reasons of space these gear whe-els are supported internally in a similar

    manner to the intermediate gears. The

    torque is transmitted in the engaged

    condition so that the bearings are sub-

    jected to the tooth forces. The inner

    and outer rings rotate but the relative

    speed is zero. Both rings have rotating

    load but the rolling elements do not

    roll. The continuous changes in load

    under these stationary conditions

    cause micro-sliding to take place at the

    rolling element/raceway contacts. As

    there is no relative rotation of the rings,

    a washboarding type of wear will be

    produced in the raceways. This wear

    can be reduced by using highly viscous

    lubricating oil containing anti-wear

    additives.

    Where the wheels have helical

    teeth, the axial force produces a tilting

    moment and consequently a rotating

    tilting motion which leads to axial move-

    ment in the rolling element/raceway

    contacts. This increases wear. Ball

    bearings, adjusted to zero clearance,behave favourably as the balls can

    helical teeth oppose each other and

    partially cancel each other producing a

    tilting moment on the bearing which

    can cause misalignment.

    Two cylindrical roller bearings of the

    NJ design provide the requisite high

    radial load carrying capacity in a re-

    stricted space as shown in fig . Thedesign of the associated components of

    the arrangement is simple. The bearing

    arrangement of helical intermediate

    gear wheels must be checked for angu-

    lar misalignment. An unfavourable com-

    bination of wheel diameter, pitch and

    distance between bearings can produce

    inadmissible values of misalignment.

    An extended support width (distance

    between bearing pressure centres)

    can be achieved using, for example,

    angular contact ball bearings.

    Taper roller bearings in a back-to-

    back arrangement ( fig ) also inc-

    rease the support width as well as

    reducing the influence of the tilitng

    moment on the misalignment if they

    are adjusted to zero clearance, or a

    light preload.

    Straight cut gear wheels may be

    supported by a single spherical roller

    bearing ( fig ). The intermediate

    gear wheels are thus free to align so

    that a good mesh is achieved.

    In order to be able to use standardbearings (without lubrication holes in

    15

    14

    13

    40

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Bearing arrange-ment for an inter-mediate gearwheel with twotaper roller bear-

    ings arrangedback-to-back

    Bearing arrange-ment for an inter-mediate gearwheel with a

    single sphericalroller bearing

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    also roll in the axial direction and be-

    cause the movement is reduced by the

    clearance-free adjustment. Wear is

    always load-dependent so that bear-

    ings under low specific loads wear

    less. The washboarding effect is also

    less prominent as engagement always

    takes place at new positions so thatthe wear is evenly spread over the

    raceway.

    For the support of shifting wheels,

    deep groove ball bearings have proved

    to give good performance ( fig ).

    Bearings with increased radial internal

    clearance (C3) are used. The clear-

    ance-free adjustment via the inner rings

    produces a contact angle in the bear-

    ings of approximately 15, so that the

    support width of the bearings is ex-

    tended. This reduces movement in the

    relatively stationary bearings under

    rotating load and thus reduces wear. In

    addition, the clearance-free back-to-

    back arrangement improves guidance

    of the wheel.

    Lubrication of the bearings from the

    outside is difficult as all components of

    the arrangement shaft, bearings and

    wheel rotate and because the bear-

    ings are partly covered e.g. by the

    coupling. The most reliable method is

    to supply oil internally through the

    shaft.

    16

    41

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Bearing arrange-ment for shiftinggear wheel withtwo deep grooveball bearings

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    each particular bearing position must

    be considered. To make the situation

    clearer in Tables to , the text has

    been kept as short as possible.

    42

    Demands on the bearingsModern spur gears generally have

    hardened gear wheels with ground

    teeth. It is then possible to obtain high

    performance with relatively little friction

    and low noise. A prerequisite for this is

    the use of high-performance bearings,

    which should have the properties listedin Table .

    In addition to these general require-

    ments with respect to ball and roller

    bearings for high-performance gear-

    boxes, other demands deriving from

    the specific operating conditions at

    1

    42

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Demand Required bearing design feature

    High load carrying capacity Optimised rolling element size and number.Logarithmic roller/raceway contact.Good lubricant film formation through low friction andlow raceway surface roughness.

    High stiffness Optimised rolling element size and number.Logarithmic roller/raceway contact.

    High dimensional and running accuracy Particularly the inner ring running accuracy shouldpreferably be to tolerance class P6 or better.

    Low friction Low friction in roller end/flange contact for taper andcylindrical roller bearings.Low friction in roller/raceway contact.Lightweight precision cage.Low raceway surface roughness.

    Low running noise High precision of all bearing components.

    Specific operating conditions Requirements of bearings/steps toguarantee performance

    High speed and thus high friction Use low-friction bearings.and high operating temperature Avoid over-dimensioning.

    Ensure lubricant supply whenstarting up cold.Provide good cooling.

    Large temperature differential when Check required bearing internal clearance; if necessarystarting up (slim input shaft heats up select bearings with C3 clearance.

    more quickly than the better cooled Ensure axial displacement at non-locating bearing position.solid casing)

    Vibration from drive; imbalance Use bearings with stable cages, e.g. cylindrical roller bearingsforces with steel window-type cages or outer ring centred machined

    cages, or spherical roller bearings with steel window-type cages.

    Idling under light load Check minimum load. Avoid over-dimensioning.Use bearings with small roller masses where possible.Do not use full complement cylindrical roller bearings.Choose bearing types less susceptible to smearing,e.g. spherical and taper roller bearings.

    Demands onrolling bearingsfor spur gears

    Demands on inputshaft bearings

    Table 1

    Table 2

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    Specific Requirements of bearings/stepsoperating conditions to guarantee performance

    Heavy radial loads Use bearings with high load carrying capacity.

    Low to Check lubricant film formation. If necessary increase viscosity ormoderate speeds improve cooling. Use lubricants with wear-reducing additives.

    Bearing selectionThe following check list will be found

    useful when selecting bearings in order

    not to forget any important factors.

    Adjusted basic rating life Axial load carrying capacity when

    the flanges of cylindrical roller bear-ings are under load

    Friction Stiffness Misalignment

    Sufficient play to prevent inadmiss-

    ible clamping when temperature

    differentials are large Minimum load Static safety under peak loads

    A preliminary choice can be made from

    the bearing series shown in Table .5

    Demands on inter-mediate shaftbearings

    Demands onoutput shaftbearings

    Bearing selection

    43

    3 Design of bearing arrangementsShafts and gear wheels in spur gearboxes

    Table 3

    Specific Requirements of bearings/stepsoperating conditions to guarantee performance

    Very low speeds When lubricant film formation inadequate, i.e. a viscosity ratio (actual torequired viscosity) < 1, use lubricants with suitable EP additives.When < 0,5 bearings with cages (not full complement bearings) must be used.When < 0,1 reduce the specific bearing load;

    aim for s0 > 10.

    Shock loads from power Use robust, self-aligning, spherical roller bearings.take-off;deformations

    Operating conditions Bearing series normally usedInput shaft Intermediate Output Intermediate Shifting

    shaft shaft gears gears

    Light loads 62 63 619 60 618/C363 NJ 2 EC 160 62 619/C360

    Moderate loads NJ 2 EC NJ 22 EC NCF 29 V NJ 2 EC 160/C3320 X 322 239 CC 320 X 60/C3222 E(CC) 222 E(CC)

    Heavy loads 322 NJ 23 EC 230 CC NJ 3 EC 62/C3232 CC NJG 23 VH 303223 E(CC) 223 E(CC) 232 CC

    322/DF 223 E(CC)

    High speeds NU 2 ECMA/C3QJ 2 N2MA/C4

    In addition to the bearing series listed above, a CARB can be used as the non-locating bearing forlocating/non-locating bearing arrangements

    Table 4

    Table 5

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    Shafts in bevelgearboxesBevel gears are generally speed

    reduction gears. The high-speed drive

    shaft is termed the pinion shaft and the

    slow-speed driven shaft carries the

    larger bevel gear wheel.The pinion shaft is driven by the

    motor via a coupling, a spur gear or a

    belt drive. The power take-off is either

    via a coupling or with bevel/spur gears

    via a pinion.

    Pinion shaftsThe pinion is generally supported in an

    overhung arrangement. In a few cases

    the pinion is supported between the

    bearings but it is difficult to design in a

    bearing with sufficiently high load car-

    rying capacity at the head. The over-

    hung arrangement offers more space.

    Two taper roller bearings in a back-

    to-back arrangement as shown in

    fig offer a cost-favourable and axi-

    ally as well as radially stiff arrangement

    for small to medium diameter shafts

    (d < 90 mm). The bearings are adjusted

    using a shim between the shaft shoul-

    der and the inner ring of the bearing at

    the input side. The adjustment is deter-

    mined to give zero clearance when the

    bearings are in operation and warmor, if required for stiffness reasons, a

    slight axial prelod. When determining

    the initial axial clearance the tempera-

    ture differential between shaft and

    casing must be considered as well as

    the deformations of shaft and casing.

    17

    Oil should be supplied between the

    two bearings. A baffle plate ensures

    that both bearings are reliably supplied

    with lubricant. The oil drain at the cover

    side reduces the amount of lubricant

    reaching the seal.

    Bearing arrange-ment for a bevelpinion shaft withtwo taper rollerbearings arrangedback-to-back

    44

    3 Design of bearing arrangementsShafts in bevel gearboxes

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    For larger shafts, the requisite load

    carrying capacity can be achieved using

    a locating/non-locating bearing arrange-

    ment as shown in fig . The locating

    arrangement is at the drive side and

    consists of two matched single row

    taper roller bearings (DF execution).

    The intermediate ring which is suppliedwith the bearing pair ensures that a

    minimum axial clearance remains when

    the bearings are mounted which can

    cope with temperature differentials be-

    tween shaft and casing of up to 20 C.

    For greater temperature differentials

    such as may occur, for example, in

    operation when ambient temperatures

    are very low, paired bearings with

    larger axial clearance are required

    (special execution). In order not to

    deform the thin-walled intermediate

    ring when tightening the cover screws,

    the length of the centring flange (spigot)

    on the cover should be such that a pre-

    load corresponding to approximately

    0,01 mm is obtained.

    The matched taper roller bearings

    operate as a double row bearing. As

    the axial load from the pinion domin-

    ates, one of the two bearings de-

    pending on the direction of the load

    is completely unloaded. Experience

    shows that this is not a disadvantage

    when there is little vibration.The non-locating bearing adjacent to

    the bevel pinion may be either a spher-

    ical roller bearing, a cylindrical roller

    bearing or a CARB.

    18

    For one-piece casings, spherical rol-

    ler bearings offer mounting advantages

    and they are also relatively insensitive

    to smearing when loads vary consider-

    ably and there are long periods of

    idling. If cylindrical roller bearings are

    used, the requisite axial displacement

    can always take place in the bearingitself so that the outer ring can have

    an interference fit in the housing, and

    radial guidance is enhanced. The same

    is true of CARB ( fig ). At this

    position the bearing will not only enable

    the axial displacements to be easily

    accommodated, it will also accept the

    angular misalignments caused by the

    off-centre point of action of the tooth

    forces with no reduction in life.

    Oil should be supplied to the two

    taper roller bearings between the outer

    rings. Experience shows that for small

    and medium-sized gears (up to approx-

    imately d = 150 mm) the non-locating

    bearing can be adequately lubricated

    by the oil returning from the locating

    bearings. For larger gears, however, it

    is necessary to arrange for a separate

    oil supply to the non-locating bearing.

    For spherical roller bearings, the oil

    should be supplied via the lubrication

    groove and holes in the outer ring for

    the best results.

    19

    Bearing arrange-ment for a bevelpinion shaft withtwo matchedsingle row taper

    roller bearingsarranged face-to-face (locatingposition) andone sphericalroller bearing(non-locatingposition)

    Bearing arrange-ment for a bevel

    pinion shaft withtwo single rowtaper roller bear-ings arrangedback-to-back(locating) andone CARB (non-locating bearing)

    45

    3 Design of bearing arrangementsShafts in bevel gearboxes

    Fig 19

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    Although the bearing arrangement

    shown in fig is similar to that in fig

    , there are considerable functional

    differences. All roller rows are always

    under load irrespective of the direction

    of the axial load. If the direction of axial

    load is from the pinion tip to the drive

    input, the taper roller bearing at thecover side with its radially free outer

    ring will be axially loaded, and the op-

    posing bearing will be radially loaded.

    If the load direction is reversed then

    the smaller axial load will act on the

    inboard bearing which is also under

    radial load. The taper roller bearing at

    the cover side will then only be sub-

    jected to a minimum axial load by the

    springs. Because all roller rows are

    always under load, this arrangement is

    less sensitive to vibrations than that

    shown in fig .

    Mounting is more complex because

    there is no intermediate ring between

    the taper roller bearings which have to

    be adjusted on mounting. The radially

    free outer ring of the taper roller bear-

    ing at the cover side is prevented from

    turning by an O-ring.

    A variant of this bearing arrange-

    ment incorporates a spherical roller

    thrust bearing which has a higher load

    carrying capacity. It replaces the taper

    roller bearing which only carries axialloads.

    With respect to lubrication, the same

    recommendations apply as for the

    arrangement shown in fig .18

    18

    18

    20

    Output shaftsThe gear wheels are generally ar-

    ranged between the bearings for

    design reasons. This is also true for

    the bevel/spur gearboxes.

    For shaft diameters up to approx-

    imately 90 mm, two taper roller bear-

    ings mounted back-to-back ( fig )provide a technically advantageous

    and cost-favourable arrangement. With

    larger dimensions, the casings are

    often inadequately stiff with regard to

    the axial forces (tooth force + internalaxial force of the bearings). This makes

    adjustment of the bearings difficult and

    shaft guidance is generally not suffi-

    ciently accurate. The bearing arrange-

    ment with cross location is then not

    altogether suitable.

    The axial force from the gear wheel

    always acts in one direction. As the

    axial force from the pinion dominates,

    it is possible that the direction of the

    resultant axial force will change. This

    must be taken into consideration when

    adjusting the mesh.

    When adjusting the taper roller bear-

    ings, the shim at the gear wheel side

    determines the position of the wheel in

    the gearbox. The shim at the pinion

    side is used to set the axial clearance

    of the taper roller bearings.

    Oil from the collecting pockets abovethe bearings runs down at the cover

    side of each bearing. From there the

    oil must pass through the bearing and

    thus lubricate it. Oil retaining plates en-

    sure that there is an adequate supply

    of oil available even when starting up.

    21

    Bearing arrange-ment for a bevelwheel shaft withtwo taper rollerbearings arrangedface-to-face

    Bearing arrange-ment for a bevelpinion shaft withone taper rollerbearing as a thrust

    bearing and onetaper roller bear-ing as a radialbearing (locatingposition) and onecylindrical rollerbearing (non-locating position)

    46

    3 Design of bearing arrangementsShafts in bevel gearboxes

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    The locating/non-locating bearing

    arrangement shown in fig has the

    advantage, compared with that shown

    in fig , that no bearing adjustment

    is required. The bearings are also in-

    sensitive to axial deformation of the

    casing. This will only be subjected to

    the tooth forces and not to the internalbearing forces, so that there will be

    less deformation.

    A double row angular contact ball

    bearing is used as the locating bearing.

    Alternatively, single row angular con-

    tact ball bearings in matched sets

    having the same diameters as the

    double row bearing and being margin-

    ally wider can be used for higher load

    carrying capacity.

    To determine the position of the

    gear wheel in the gearbox and to adjust

    the mesh, a split washer is inserted

    between the bearing outer ring and

    the retaining ring. When doing this the

    bearing can remain on the shaft. A

    cylindrical roller bearing of the NU

    design is used as the non-locating

    bearing at the other side where the

    radial load is heavier.

    The locating/non-locating bearing

    arrangement shown in fig is similar

    in design and function to that shown in

    fig . At the locating side, two single

    row taper roller bearings are arrangedface-to-face. Compared with the double

    row angular contact ball bearing, the

    taper roller bearings provide higher

    load carrying capacity and greater

    stiffness.

    22

    23

    21

    22

    Adjustment of the bevel gear wheel

    is simplified using a special (hook-

    shaped) sleeve. In order to prevent the

    thin-walled intermediate ring of the

    paired taper roller bearings from being

    deformed as the cover screws are

    tightened, the length of the spigot in

    the cover should be chosen to give apreload corresponding to approxim-

    ately 0,01 mm.

    Oil should be supplied to the taper

    roller bearings via the lubrication

    groove and holes in the intermediate

    ring. To allow an even distribution over

    the two bearings, an oil drain should

    be provided at the cover side.

    47

    Bearing arrange-ment for a bevelwheel shaft with

    two matchedsingle row taperroller bearings(locating position)and one cylindricalroller bearing(non-locatingposition)

    Bearing arrange-ment for a bevelwheel shaft with

    a double rowangular contactball bearing(locating position)and a cylindricalroller bearing(non-locatingposition)

    3 Design of bearing arrangementsShafts in bevel gearboxes

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    Demands on the bearingsModern bevel gearboxes usually have

    hardened gear wheels with ground

    helical teeth. This enables high power

    transmission to be achieved with little

    friction and little noise generation. A

    prerequisite for this good performance

    is the use of high-performance ball androller bearings which should have the

    properties listed in Table .

    In addition to these general require-

    ments for bearings for high-perform-

    ance gearboxes, there are additional

    requirements which are specific to

    the actual bearing position.

    6

    Bearings for the pinion shaft

    High radial and axial forces act simul-

    taneously on the pinion shaft. There-

    fore high radial load carrying capacity

    is required of the non-locating bearing

    and high axial load carrying capacity

    of the locating bearing. Because of the

    high speed, bearings having low frictionshould be used. These two require-

    ments are in part contradictory.

    Experience shows that pinion bear-

    ings do not fail from fatigue but are en-

    dangered by other influences. From

    this it is possible to derive the require-

    ments and actions listed in Table .7

    Demands onrolling bearingsfor bevel gears

    Demands on bevelpinion shaftbearings

    48

    3 Design of bearing arrangementsShafts in bevel gearboxes

    Demand Required bearing design feature

    High load carrying capacity Optimised rolling element size and number.Logarithmic roller/raceway contact.Good lubricant film formation through low friction andlow raceway surface roughness.

    High stiffness Optimised rolling element size and number.Logarithmic roller/raceway contact.

    High dimensional and running accuracy Particularly the inner ring running accuracy shouldpreferably be to tolerance class P6 or better.

    Low friction Low friction in roller end/flange contact for taper roller bearings.

    Low friction in roller/raceway contact.Low raceway surface roughness.

    Low running noise High precision of all bearing components.

    Most frequent reason for How to alleviate problem/demandspinion bearing damage on bearings

    Lubrication breakdown Guarantee lubrication when starting up

    in the cold state.

    Overloading because of too When selecting bearing size, check the temperature differentialheavy a preload between shaft and casing. C3 internal clearance often required.

    Inadequate lubricant film generation be- Use low friction bearings.cause of too high operating temperatures Avoid over-dimensioning.

    Improve cooling.

    Smearing on rollers and Avoid over-dimensioning.raceways caused by roller Spherical roller bearings are more favourable than cylindricalslip or sliding roller bearings in larger size range (d > 150 mm).

    When using cylindrical roller bearings aim for small rollerdiameters; use a full complement bearing.

    Wear caused by contaminants Avoid contaminating the gearbox during production,assembly and in operation.

    Table 6

    Table 7

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    To obtain good meshing it is neces-

    sary among other things to have a

    bearing arrangement with high radial

    and axial stiffness. The locating bear-

    ing should therefore have a large

    contact angle and as small an axial

    clearance as possible.

    Bearings for the output shaft

    These bearings are predominantly

    radially loaded so that high radial load

    carrying capacity is also required of

    the locating bearing. Because of the

    slow speeds the risks in respect of

    thermal behaviour and over-dimension-

    ing compared with the pinion shaft are

    negligible. The requirements for axial

    and radial stiffness, for minimum axial

    clearance and for bearing accuracy

    correspond to those for the pinion

    shaft bearings.

    Bearing selectionWhen selecting the bearings it is use-

    ful to refer to the cheklist given below.

    Adju