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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    DON BOSCO INSTITUTE OF TECHNOLOGY, MUMBAI

    Department of Mechanical EngineeringAutomobile Engineering (B.E. Sem- VIII)

    Module 01

    CLUTCH1.1 Clutch:A clutch is a device used to transmit the rotary

    motion of one shaft to another when desired. Theaxes of the two shafts are coincident. It can also

    be described as a machine member used to

    connect a driving shaft to a driven shaft so thatthe driven shaft may be started or stopped at will,

    without stopping the driving shaft. Thus it is an

    interruptible connection between two shafts.

    1.2 Requirements of Clutch:

    i) Torque Transmission: The clutch should

    be able to transmit maximum torque of

    engine under all working conditions. It is

    usually designed to transmit 125 to 150 percent of maximum engine torque.

    ii) Gradual Engagement: The clutch shouldpositively take the drive gradually without the

    occurrence of sudden jerks.

    iii) Heat Dissipation: During clutch operation

    large amount of heat is generated. The

    rubbing surfaces should have sufficient area

    and mass to absorb the heat generated. Theproper design of clutch should ensure proper

    ventilation or cooling for adequate dissipation

    of heat.

    Clutch temperature is the major factor limiting

    the clutch capacity. This requires that theclutch facing must maintain a reasonable

    coefficient of friction with mating surfaces

    under all working conditions. Moreover the

    friction material should not crush at hightemperatures and clamping loads.

    iv) Dynamic balancing: The clutch should bebalanced dynamically particularly in high

    speed clutches.

    v) Vibration Damping: Suitable mechanism

    should be incorporated within the clutch toeliminate noise produced in the transmission.

    vi) Size: The size of the clutch must besmallest possible so that it should occupy

    minimum amount of space.

    vii) Inertia: The clutch rotating parts should

    have minimum inertia. Otherwise when theclutch is disengaged for gear changing, theclutch plate will keep on spinning, causing

    hard shifting and gear clashing in spite of

    synchronizer.

    viii) Clutch free pedal play: To reduce

    effective clamping load on the carbon thrust

    bearing and wear thereof, sufficient Clutchfree pedal play must be provided in the clutch.

    ix) Ease of operation: For higher torquetransmission the operation of disengaging the

    clutch must not be tiresome to the driver.

    1.3 Classification of Clutches:

    Clutches can be classified as follows:

    Positive Clutches:a) Square Jaw Clutch

    b) Spiral Jaw Clutch

    Friction Clutches:a) Single Plate Clutch

    b) Diaphragm spring type singleplate clutch

    c) Multiplate Clutch

    d) Cone clutch

    e) Semi-centrifugal Clutchf) Centrifugal Clutch

    g) Wet Clutch

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fluid Flywheel

    1.4 Positive Clutches:

    The positive clutches are used when a positive

    drive is required. This type of clutch is designed

    to transmit torque without slip. It is the simplestof all shaft connectors, sliding on a keyed shaft

    section or a splined portion and operating with ashift lever on a collar element. The simplest type

    of a positive clutch is a jaw or claw clutch. The

    jaw clutch permits one shaft to drive another

    through a direct contact of interlocking jaws. Itconsists of two halves one of which is

    permanently fastened to the driving shaft by a

    sunk key. The other half of a clutch is movableand it is free to slide axially on the driven shaft,

    but it is prevented from turning relatively to itsshaft by means of feather key. The jaws of theclutch may be of square type or spiral type as

    shown in Fig. 1.1

    Fig. 1.1 Positive clutches. (a) Square-jaw clutch. (b)

    Spiral-jaw clutch.

    Fig. 1.2 Square-jaw clutch.

    A square jaw type is used where engagement and

    disengagement in motion and under load is notnecessary. This type of clutch will transmit power

    in either direction of rotation. The spiral jaws may

    be left-hand or right-hand, because power

    transmitted by them is in one direction only. Thistype of clutch is occasionally used where the

    clutch must be engaged and disengaged while inmotion. Engagement speed should be limited to

    10 rpm for a square-jaw clutch and 150 rpm for a

    spiral-jaw clutch. If disengagement under load isrequired, the jaws should be finish-machined and

    lubricated. The use of jaw clutches are frequently

    applied to sprocket wheels, gears and pulleys. In

    such a case the non-sliding part is made integralwith the hub. Fig 1.3 shows the photographic

    views of square and spiral jaw clutches.

    Fig 1.3 Photographic views of square and spiral jaw

    clutches

    1.5 Principle of Friction Clutches:

    The principle of friction clutch may be explainedby means ofFig.1.4

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig.1.4 Principle of Friction Clutches

    Let disc C keyed to shaft A, rotates at some

    speed, say N rpm. Initially when clutch is not

    engaged shaft B and disc D keyed to it arestationary. Now apply some axial force W to the

    disc D so that it comes in contact with disc C. As

    soon as the contact is made the force of friction

    between C and D will come into play andconsequently the disc D will start rotating. The

    speed of D depends upon friction force present,

    which in turn, is proportional to the force Wapplied. If W is increased gradually, the speed of

    D will be increased consequently till the stage

    comes when the speed of D becomes equal to thespeed of C. Then the clutch is said to be fully

    engaged.

    1.6 Single Plate Clutch:

    A single disc or plate clutch shown in Fig.1.5consists of a clutch plate C whose both sides are

    faced with a friction material G.

    Fig.1.5 Single disc or plate clutch

    It is mounted on a hub which is free to move

    axially along the splines of the driven shaft D andis held between the flywheel A and the pressure

    plate E. The pressure plate is mounted inside the

    clutch body which is bolted to the flywheel. Both

    the pressure plate and flywheel rotate with engine

    crankshaft or the driving shaft. The pressure platepushes the clutch plate towards the flywheel by a

    set of coil springs S. The springs are arrangedcircumferentially which provide axial force to

    keep the clutch in engaged position. The three

    levers known as release levers or fingers arecarried on pivots suspended from the case of the

    body as shown in Fig 1.6. These are arranged in

    such a manner that the pressure plate moves away

    from the flywheel by the inward movement of athrust bearing. A pedal is provided to pull the

    pressure plate against the spring force whenever itis required to be disengaged. Ordinarily clutchremains in engaged position.

    Fig.1.6 Single disc or plate clutch with linkage

    When the clutch pedal is pressed down, its

    linkage forces the thrust release bearing to movein towards the flywheel and pressing the longerends of the lever inward. The levers are forced to

    turn on their suspended pivot and the pressure

    plate moves away from the flywheel by the knife

    edges, thereby comprising the clutch springs asshown in Fig 1.6 a).

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig 1.6 a) Operation of the release levers

    With the movement of the pressure plate, the

    friction plate is released and clutch is disengaged.On the other hand, when the foot is taken off from

    the clutch pedal, the thrust bearing is moved back

    by the levers. This allows the springs to extendand thus the pressure plate pushes the clutch plate

    back towards the flywheel.

    The axial pressure exerted by the spring providesa frictional force in the circumferential direction

    when the relative motion between driving and

    driven members tends to take place. If the torquedue to this frictional force exceeds the torque to

    be transmitted, then no slipping takes place and

    power is transmitted from the driving shaft to thedriven shaft.

    Fig 1.7 shows exploded photographic view and

    Fig 1.8 shows cut away section of clutchassembly of single plate clutch.

    Fig 1.7 Exploded photographic view of single plate clutch

    Fig 1.8 Cut away section of clutch assembly of single plate

    clutch

    Advantages:

    1. As compared to cone clutch, the pedalmovement is less in this case which leads to easier

    gear changing.

    2. It is more reliable compared to cone

    Clutch.

    Disadvantages:

    As compared to cone clutch, the springshave to be stiffer and this means greater force

    required to be applied by the driver while

    disengaging.

    1.7 Diaphragm spring type single plate clutch:

    The construction of this type of clutch is similarto the single plate type of clutch described above

    except that here diaphragm springs (also knownas Belleville springs) are used instead of theordinary coil springs. In the free condition, the

    diaphragm spring is of conical form, but when

    assembled, it is constrained to an approximately

    flat condition because of which it exerts a loadupon the pressure plate. A diaphragm spring type

    clutch is shown in Fig 1.9 and Fig 1.10 shows a

    diaphragm spring in free condition.

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig 1.9 A diaphragm spring type clutch

    Fig 1.10 A diaphragm spring in free condition

    Advantages:

    This type of clutch has now virtually

    superseded the earlier coil spring design in many

    countries in clutch sizes ranging upto 270 mm indiameter. However in case of heavy vehicles, the

    coil spring type clutches are still being used,

    because of the difficulty to provide sufficientclamping force by a single diaphragm spring. The

    diaphragm spring offers following distinct

    advantages.1. It is more compact means of storing

    energy. Thus compact design results in

    smaller clutch housing.

    2. As the diaphragm spring iscomparatively less affected by the

    centrifugal forces, it can withstand higher

    rotational speed. On the other hand, thecoil springs have tendency to distort in the

    transverse direction at higher speeds.

    3. In case of coil springs, load-deflectioncurve is linear. Therefore with the wear of

    the clutch facing the springs have less

    deflection due to which they would apply

    less force against the clutch plate. On the

    other hand, in case of diaphragm spring

    the load-deflection curve is not linear (Fig

    1.11).

    Fig 1.11 Load- Deflection curve

    Therefore in this case as the clutch facing

    wears, force on the plate gradually

    increases, which means that even in wornout condition, the spring force is not less

    than its value in case of new clutch.

    Further it is also seen from Fig 1.12 thatthe load-deflection curve depends upon

    the ratios h/t, where h is the free dishheight and tis the thickness of the spring.

    Therefore in this case with suitable design,the load-deflection curve can be improved

    to give lower release loads.

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig 1.12 Effect ofh/ton Load- Deflection curve

    4. The diaphragm acts as both clampingspring and release levers. Therefore many

    extra parts like struts, eye bolts, levers,

    etc. are eliminated in the diaphragm springbecause of which the loss of efficiency

    due to friction wear of these parts also

    does not occur, which results inelimination of squeaks and rattles.

    Fig 1.13 Cut away section of clutch assembly of single

    plate clutch (Diaphragm spring type)

    Fig 1.13 shows cut away section of clutch

    assembly and Fig 1.14 shows explodedphotographic view of Diaphragm spring type

    single plate clutch

    Fig 1.14 Exploded photographic view of single plate clutch

    (Diaphragm spring type)

    1.8 Design of Single plate Clutch:

    Consider two friction surfaces maintained in

    contact by an axial thrust W as shown in Fig1.15(a). Let,

    T = Toque Transmitted by clutch p = Intensity of pressure with which the

    contact surfaces are held togetherr2 = ri = Inner radius of the friction surface

    r1 = ro= Inner radius of the friction

    surface

    = Coefficient of frictionConsider an elementary ring of radius r and

    thickness dr as shown in Fig 1.15(b).

    We know that,

    Area of the contact surface or friction surface,

    dA = 2r.dr

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig 1.15 Forces on a single plate clutch

    Normal or axial force on the ring,

    dW = Pressure x Area = p . 2r.dr (i)

    The friction force acting on the ring tangentiallyat radius r,Fr= . dW = . p . 2r.dr

    Hence Friction torque acting on the ring,

    Tr= r. Fr = . p . 2r2.dr (1)

    Friction torque of a clutch is usually calculated on

    the basis of two assumptions. Each assumption

    leads to a different value of torque. In one case itis assumed that the intensity of pressure on the

    contact surface or friction surface is constant

    whereas in the second case, it is uniform wearing

    of the contact surface or friction surface.

    i) Considering uniform pressure:

    Under this assumption, pressure is assumed to beuniform over the surface area and the intensity of

    pressure is given by,

    ( )(2)

    areasectional-Cross

    ForceAxial

    22

    io rr

    Wp

    pressure

    =

    =

    Equation (2) can be obtained by integrating

    equation (i) within the limits from ri to ro.The total friction torque can be found by

    integrating equation (1) within the limits from ri to

    ro.

    The total friction torque acting on the frictionsurface or on the clutch,

    Substituting expression for p from equation (2),

    ( )

    =3

    .233

    22

    io

    io

    rr

    rr

    WT

    )3(3

    222

    33

    RWrr

    rrWT

    io

    io =

    =

    SurfacFrictionofRadiusMean3

    222

    33

    =

    =

    io

    io

    rr

    rrR

    Where

    ii) Considering uniform axial wear:

    For uniform wear over an area, the intensity ofpressure should vary inversely proportional to the

    elementary areas, i.e. it should decrease with

    increase in the elementary area and vice-versa.This can be illustrated by drawing a line with a

    chalk. In doing so a little quantity of chalk is worn

    from the stick. Now if it is desired that the chalk

    is worn by the same amount, but the length of theline is doubled, the pressure on the chalk has to be

    reduced to half that in the previous case.

    Therefore for uniform wear, product of thepressure applied and the distance traveled must be

    constant. For uniform wear of the surface, let

    )4(CConstant

    r2r2

    rradiiatarearradiiatarea

    width)(equalrandrradiiatsurfacetheofwidth

    ratsurfacesobetween twpressureNormal

    ratsurfacesobetween twpressureNormal

    oi

    oi

    oi

    o

    i

    ==

    ==

    ==

    ==

    pr

    rprp

    bpbp

    pp

    b

    p

    p

    ooii

    oi

    oi

    o

    i

    Thus in case of uniform wear of the two surfaces,

    product of the normal pressure and thecorresponding radius must be constant. This

    means the pressure is less where the radius is

    more and vice-versa. Pressure on an elemental

    area at radius r can be found as given below.

    BE Mech Sem-VIII/Auto Engg/Module:01 Page 7

    =

    =.=

    3.2

    3.22p..

    33

    32

    io

    r

    r

    r

    r

    rrpT

    rpdrrT

    o

    i

    o

    i

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Fig 1.16 Multi-plate Clutch

    Fig 1.17 Multi-plate Clutch (Inner and outer plates)

    Design of a multiplate clutch:

    The total friction torque acting on the friction

    surface or on the clutch is given by,

    surfacesfrictionofpairsofNumberWhere

    )8(

    ==

    n

    RWnT

    1. If N is the total number of friction plates inthe multiplate clutch, then 1= Nn

    2. If 1n is the number of plates on the

    driving shaft and 2n is the number of

    plates on the driven shaft, then

    121 += nnn

    1.10 Cone Clutch:

    Fig 1.18 Cone clutch

    Fig 1.18 shows simplified diagram of the cone

    clutch. It was extensively used in automobiles, butnow-a-days it has been completely replaced by

    the plate clutch. It consists of only one pair of

    friction surface which is in the form of cones. In

    the engaged position the male cone is fully insidethe female cone so that the friction surfaces are in

    complete contact. This is done by means of

    springs which keep the male cone pressed all thetime.

    Advantages:

    The only advantage of cone clutch is that the

    normal force acting on the contact surfaces is

    larger than the axial force as compared to thesingle plate clutch in which the normal force

    acting on the contact surfaces is equal to the axial

    force.

    Disadvantages:

    The cone clutch is practically obsolete because of

    certain inherent disadvantages.1. If the angle of cone is made

    smaller that 200 the male cone tends to

    bind or join in the female cone and itbecomes difficult to disengage the clutch.

    2. A small amount of wear on the cone surface

    results in considerable amount of axialmovement of the male cone for which it is

    difficult to allow.

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    1.11 Design of Cone Clutch:

    Consider a pair of friction surfaces of a coneclutch maintained in contact by an axial thrust W

    as shown in Fig 1.19(2). Let

    T = Toque Transmitted by clutch

    p = Intensity of pressure with whichthe

    conical contact surfaces are held togetherri = Inner radius of the friction

    surface

    ro= Inner radius of the friction surface = Coefficient of friction

    = Semi-angle of the cone or the

    angle of the friction surface with the axis of

    the clutchb = Width of the friction surface

    (alsoknown as face width or cone face)

    Consider an elementary ring of radius r and

    thickness dr as shown in Fig 1.19(1).

    Let dlis the length of ring of the friction surface,

    such that

    sin

    cosdr

    ecdrdl ==

    We know that,

    Area of the contact surface or friction surface, dA

    = 2r. dl=

    sin

    r2 dr

    Fig 1.19 Forces on Friction surface of Cone Clutch

    Normal force on the ring,

    dP = Pressure x Area = p . dA=

    sin

    r2dr

    p

    Axial force on the ring,

    )9(2

    sin

    sin

    2sin

    drprdW

    drprdPdW

    =

    ==

    The friction force acting on the ring tangentiallyat radius r,

    Fr = . dP = .

    sin

    r2dr

    p

    Hence Friction torque acting on the ring,

    Tr = r. Fr= . )10(sin

    r2 2

    drp

    i) Considering uniform pressure:The total axial force can be found by integrating

    equation (9) within the limits from ri to ro.

    ( ) 11(2

    22

    force,axialTotal

    222

    io

    r

    r

    r

    r

    rrpr

    pdrprW

    o

    i

    o

    i

    =

    =.=

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Equation (11) shows that the total axial force is

    independent of the cone angle.

    The total friction torque can be found by

    integrating equation (10) within the limits from rito ro.

    The total friction torque acting on the frictionsurface or on the clutch,

    Substituting expression forp from equation (11),

    ( )3 3

    2 2

    3 3

    2 2

    2 .sin 3

    2(12)

    3 sin

    o i

    o i

    o i

    o i

    r rWTr r

    r rWT W R

    r r

    =

    = =

    3 3

    2 2

    2Mean Radius of Friction Surface

    3

    o i

    o i

    Where

    r rR

    r r

    = =

    ii) Considering uniform axial wear:

    We know that,

    dr2r.dr2r

    C=r.dr2.p=dW = C

    [ ] ( )

    ( ))13(

    2

    222

    force,axialTotal

    io

    io

    r

    r

    r

    r

    rr

    WC

    rrCrCdrCW oi

    o

    i

    =

    ==.=

    We know that the friction torque acting on the

    ring,

    Tr = r. Fr =

    sin

    r2 2dr

    p =

    sin

    r2dr

    C

    The total friction torque acting on the frictionsurface or on the clutch,

    Substituting expression for C from equation (13),

    ( )

    ( )

    ( )SurfaceFrictionofRadiusMean

    sin2

    )14(sin2

    22.

    sin

    2 22

    =+

    =

    =+

    =

    =

    io

    io

    io

    io

    rrR

    Where

    RWrrW

    T

    rr

    rr

    WT

    Equation (14) gives the more conservative results

    as compared to equation (12) and hence can besafely used for design of cone clutch.

    1.12 Centrifugal Clutch:

    The centrifugal clutches are usually incorporated

    in motor pulleys. It consists of a number of shoeson the inside of pulley as shown in Fig 1.20

    Fig 1.20 Centrifugal Clutch

    The outer surfaces of the shoes are covered with a

    friction material. These shoes, which can move

    radially in guides, are held against the boss ofspider on the driving shaft by means of springs.

    The springs exert a radially inward force which is

    assumed constant. When rotating, under the

    action of centrifugal force, the shoes are movedradially outwards. The magnitude of this

    centrifugal force depends upon the speed at which

    the shoe is rotating. When centrifugal force isequal to the spring force, the shoe is just floating.

    BE Mech Sem-VIII/Auto Engg/Module:01 Page 11

    =

    =.=

    2sin

    .2

    2sin

    .2

    sinC2

    22

    2

    io

    r

    r

    r

    r

    rrCT

    rCdrrT

    o

    i

    o

    i

    =

    =.=

    3sin

    .2

    3sin

    .2

    sin2p..

    33

    32

    io

    r

    r

    r

    r

    rrpT

    rpdrrT

    o

    i

    o

    i

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    Clutch Automobile Engineering Prof. Pradeepkumar Suryawanshi

    Therefore net outward radial force (i.e. centrifugal

    force) with which the shoe presses against the rimat the running speed,

    rmrmrmPPP sco222

    16

    7

    16

    9 ===

    The friction force acting tangentially on each

    shoe,

    )( scor PPPF ==

    The friction torque acting on each shoe,

    RPPRPRFT scorr === )(

    And the total friction torque transmitted,

    )15()( RPPnT

    RPnRnFnTT

    sc

    orr

    =

    ===

    The mass of the shoe can be evaluated fromequation (15).

    ii) Size of the shoes:

    Let,

    l= Contact length of the shoe

    b = Width f the shoeR = Radius of the shoe when it

    presses

    against the pulley rim (same as theinside radius of the pulley)

    = Angle subtended by the shoe

    at thecentre of spider in rad

    p = Intensity of pressure exerted

    on theshoe (In order to ensure

    reasonable

    life, it may be taken as 0.1N/mm2)

    Now, Rl=Area of contact o the shoe, lbA =The force with which the shoe presses against the

    rim= p . plbA =

    Since the force with which the shoe presses

    against the rim at the running speed is

    sco PPP = ,

    Therefore

    )16(sc PPplb =

    The width of the shoe can be obtained fromequation (16).

    iii) Dimensions of the springs:

    We have discussed above that the load on thespring is given by,

    17(16

    9

    4

    3 22

    2

    1 rmrmrmPs =

    ==

    By using the load value from eqn (17), the

    dimensions of spring may be obtained as usual.

    References:

    1) Theory of Machines by S S Rattan, Tata

    McGraw Hill Education Pvt ltd.2) Automobile Engineering Vol. 1 by Kirpal

    Singh, Standard Publishers Distributors.

    3) Theory of Machines by R S Khurmi, S

    Chand Technical4) Design of Machine Elements by V B

    Bhandari, Tata McGraw Hill Education

    Pvt ltd.5) http://books.google.com

    6) http://www.google.co.in/imghp?

    hl=en&tab=wi

    BE Mech Sem-VIII/Auto Engg/Module:01 Page 13

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