Analysis of bogie suspension system

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1 A PROJECT REPORT ON ANALYSIS AND MODIFICATION IN BOGIE SUSPENSION SYSTEM SUBMITTED BY Mr. PRAVIN.P.PAWAR ROLLNO: 60 Mr. SURAJ.S.RANA ROLLNO: 61 Mr. PANKAJ.E.RAWOOL ROLLNO: 62 Mr. KANNAN.T.REDDIAR ROLLNO: 63 UNDER THE GUIDANCE OF PROF. DEEPAK CHAUDHARI Department of Mechanical Engineering Vidyavardhini's College of Engineering and Technology,Vasai University of Mumbai 2012-2013 Department of Mechanical Engineering

description

Report on analysis of dynamic stability of all coiled bogie suspension system.

Transcript of Analysis of bogie suspension system

  • 1

    A

    PROJECT REPORT

    ON

    ANALYSIS AND MODIFICATION IN BOGIE SUSPENSION SYSTEM

    SUBMITTED BY

    Mr. PRAVIN.P.PAWAR ROLLNO: 60

    Mr. SURAJ.S.RANA ROLLNO: 61

    Mr. PANKAJ.E.RAWOOL ROLLNO: 62

    Mr. KANNAN.T.REDDIAR ROLLNO: 63

    UNDER THE GUIDANCE OF

    PROF. DEEPAK CHAUDHARI

    Department of Mechanical Engineering

    Vidyavardhini's College of Engineering and Technology,Vasai

    University of Mumbai

    2012-2013

    Department of Mechanical Engineering

  • 2

    VIDYAVARDHINI'S COLLEGE OF ENGINEERING AND TECHNOLOGY

    VASAI, THANE

    Department of Mechanical Engineering

    CERTIFICATE

    This to certify that requirements for the project work entitled

    ANALYSIS AND MODIFICATION IN BOGIE SUSPENSION SYSTEM

    have been successfully completed by the following students:

    Name Roll No.

    Mr. PRAVIN.P.PAWAR 60

    Mr. SURAJ.S.RANA 61

    Mr. PANKAJ.E.RAWOOL 62

    Mr. KANNAN.T.REDDIAR 63

    In partial fulfillment of Bachelor of Engineering of Mumbai University the Department of

    Mechanical Engineering, Vidyavardhinis College of Engineering & Technology, Vasai Road,

    Thane, during the academic year 2012-2013.

    Internal Guide ____________ External Guide_____________

    (Prof. Deepak Chaudhari) (Mr. K. Sayyed, JR. INST. BTC)

    H. O. D __________ Chief Instructor, BTC __________

    (Prof. U. V. Asolekar) (Mr. P. L. Rane)

  • 3

    ACKNOWLEDGEMENT

    It gives us immense pleasure to present this project report on

    ANALYSIS AND MODIFICATION IN BOGIE SUSPENSION SYSTEM

    I would like to take this opportunity to express my gratitude to all the

    individuals whose contribution have helped me in undergoing training and

    successful completion of my project at Carriage Repair Shop, Central

    Railway, Matunga , Mumbai-400019.

    First of all I would like to thank Mr. A.K. Singh (CWM), Mr. G.R. Gadhe

    (AWM(G)&Training Officer ) and Mr. C.R. Shetty (CI, BTC) for giving me

    an opportunity to take training in this historic workshop.

    I express my hearty gratitude to Mr. S.K. Sayyad (Jr. Inst., BTC), for their

    unstinting support and suggestions which gave me direction to work.

    Special thanks to Prof. Deepak Chaudhari (Internal Guide), Prof. U. V.

    Asolekar (HOD, Mechanical) and Dr. Ashok A. Dhale (Project Co-ordinator).

    I would also like to thank Mr Joshi Sir (J & T section) for helping us in our

    project selection and directing us during the course of project. I would also like to

    thank all Workshop Officials, Shop Superintendents, Staff members and

    faculty members of J & T section for their invaluable help at all the time.

    Last but not the least, I would like to thank all my colleagues and workers for

    all the co-operation and for their direct or indirect help during the phase of

    my training.

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    INDEX

    CHAPTER

    NO.

    CONTENT

    PAGE

    NO

    1

    INTRODUCTION

    1.1 INDIAN RAILWAYS

    1.2 AN OVERVIEW OF MATUNGA

    WORKSHOP

    1.3 FUNCTIONS OF A BOGIE

    1.4 KEY COMPONENTS OF A BOGIE

    1.5 FACTORS AFFECTING BOGIE

    SUSPENSION

    7-17

    2

    BOGIE ASSEMBLY

    2.1 DESIGN FEATURES

    2.2 ALL-COIL ICF BOGIE

    2.3 WORKING

    2.4 AXLE BOX GUIDE WITH DASH

    POT ARRANGEMENT

    2.5 BOGIE BOLSTER SUSPENSION

    2.6 SPRINGS

    2.7 CENTRE PIVOT ARRANGEMENT

    2.8 SIDE BEARERS

    2.9 ANCHORLINKS & SILEN BLOCK

    2.10 EQUALISING STAYS

    2.11 BOLSTER SPRING SUSPENSION

    HANGERS

    2.12 SHOCK ABSORBERS

    18-29

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    3

    LITERATURE REVIEW

    3.1 HOW BOGIES WORK BY ISAO

    OKAMOTO

    30

    4

    MATHEMATICAL MODEL

    4.1 TYPES OF VIBRATIONS

    4.2 MODELING VIBRATING SYSTEMS

    4.3 MULTIPLE DOF MODELS

    4.4 2 DOF SYSTEM

    4.5 4 DOF SYSTEM

    31-39

    5

    MATLAB

    5.1 m CODE FOR 2 DOF SYSTEM

    5.2 m CODE FOR 4 DOF SYSTEM

    40-46

    6

    ANALYSIS IN UNIVERSAL MECHANISM

    47-58

    7

    ANALYSIS RESULTS

    59-63

    8

    CONCLUSION

    64-76

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    LIST OF FIGURES

    FIGURE NO.

    FIGURE NAME

    PAGE NO

    1.5 BOGIE 17

    2.1 ICF-BOGIE SIDE VIEW 19

    2.2 BOGIE BOLSTER ARRANGEMENT 19

    2.3 ICF BOGIE TOP VIEW 21

    2.4 DASHPOT ARRANGEMENT 22

    2.5 BOGIE BOLSTER DESIGN 23

    2.6 SECONDARY COIL SPRING 24

    2.7 CENTRE PIVOT ARRANGEMENT 25

    2.8 SIDE BEARERS 26

    2.9 ANCHOR LINKS WITH SILENT

    BLOCK

    27

    2.10 EQUALISING STAYS 28

    2.11 HANGER WITH HANGER BLOCK 28

    2.12 SHOCK ABSORBERS 29

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    CHAPTER NO 1

    INTRODUCTION

    1.1 INDIAN RAILWAYS

    Type Government Owned

    Founded April 16, 1853, nationalized in 1951

    Headquarters New Delhi, India

    Area served India

    Key people Pawan Kumar Bansal-State Railway Minister (V)

    KJ. Suryaprakash Reddy-State Railway Minister (R)

    Adhir Ranjan Chaudhari : Chairman

    Railway Board: Mr.Vinay Mithal

    Industry Railways and Locomotives

    Products Rail transport, Cargo Transport, Services

    Revenue INR 1,24,545 Crores (~30.5BUSD)

    Employees ~1,400,000

    Parent Ministry of Railways (India)

    Divisions 16 Railway Zones

    Slogan "lifeline of the nation"

    Website www.indianrailways.gov.in

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    Indian Railways abbreviated as IR, is a Department of the Government of

    India, under the Ministry of Railways, and is tasked with operating the rail network in

    India. The Ministry is headed by a cabinet rank Railways Minister, while the

    Department is managed by the Railway Board. Indian Railways is not a private

    corporate body; however, of late IR has been trying to adopt a corporate management

    style.

    Indian Railways has a total state monopoly on India's rail transport. It is one of

    the largest and busiest rail networks in the world, transporting sixteen million

    passengers and more than one million tonnes of freight daily. IR is the world's largest

    commercial or utility employer, with more than 1.6 million employees, and is second

    to the Chinese Army in highest number of employees.

    The railways traverse the length and breadth of the country; the routes cover a total

    length of 63,140 km (39,233 miles). As of 2002, IR owned a total of 216,717 wagons,

    39,263 coaches and 7,739 locomotives and ran a total of 14,444 trains daily, including

    about 8,702 passenger trains.

    HISTORY

    Railways were first introduced to India in 1853. By 1947, the year of India's

    independence, there were forty-two rail systems. In 1951 the systems were

    nationalized as one unit, becoming one of the largest networks in the world. Indian

    Railways operates both long distance and suburban rail

    systems.

    One of the earliest pictures of railways in

    India

    Extent of Great Indian Peninsular Railway

    network in 1870. The GIPR was one of the

    largest rail companies at that time.

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    A plan for a rail system in India was first put forward in 1832, but no further

    steps were taken for more than a decade. In 1844, the Governor-General of India Lord

    Hardinge allowed private entrepreneurs to set up a rail system in India. Two new

    railway companies were created and the East India Company was asked to assist

    them. Interest from investors in the UK led to the rapid creation of a rail system over

    the next few years. The first train in India became operational on 1851-12-22, and was

    used for the hauling of construction material in Roorkee. A year and a half later, on

    1853-04-16, the first passenger train service was inaugurated between Bori Bunder,

    Bombay and Thana. Covering a distance of 34 km (21 miles), it was hauled by three

    locomotives, Sahib, Sindh and Sultan. This was the formal birth of railways in India.

    The British government encouraged new railway companies backed by private

    investors under a scheme that would guarantee an annual return of five percent during

    the initial years of operation. Once established, the company would be transferred to

    the government, with the original company retaining operational control. The route

    mileage of this network was about 14,500 km (9,000 miles) by 1880, mostly radiating

    inward from the three major port cities of Bombay, Madras and Calcutta. By 1895,

    India had started building its own locomotives, and in 1896 sent engineers and

    locomotives to help build the Uganda Railway.

    Soon various independent kingdoms built their own rail systems and the

    network spread to the regions that became the modern-day states of Assam, Rajasthan

    and Andhra Pradesh. A Railway Board was constituted in 1901, but decision-making

    power was retained by the Viceroy, Lord Curzon. The Railway Board operated under

    aegis of the Department of Commerce and Industry and had three members: a

    government railway official serving as chairman, a railway manager from England

    and an agent of one of the company railways. For the first time in its history, the

    Railways began to make a tidy profit. In 1907, almost all the rail companies were

    taken over by the government.

    The following year, the first electric locomotive appeared. With the arrival of

    the First World War, the railways were used to meet the needs of the British outside

    India. By the end of the First World War, the railways had suffered immensely and

    were in a poor state. The government took over the management of the Railways and

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    removed the link between the financing of the Railways and other governmental

    revenues in 1920, a practice that continues to date with a separate railway budget.

    The Second World War severely crippled the railways as trains were diverted

    to the Middle East, and the railway workshops were converted into munitions

    workshops. At the time of independence in 1947, a large portion of the railways went

    to the then newly formed Pakistan. A total of forty-two separate railway systems,

    including thirty-two lines owned by the former Indian princely states, were

    amalgamated as a single unit which was christened as the Indian Railways.

    The existing rail networks were abandoned in favour of zones in 1951 and a

    total of six zones came into being in 1952. As the economy of India improved, almost

    all railway production units were indigenized. By 1985, steam locomotives were

    phased out in favour of diesel and electric locomotives. The entire railway reservation

    system was streamlined with computerization in 1995.

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    RAILWAY ZONES

    A schematic map of the Indian

    Railway network

    For administrative purposes, Indian Railways is

    divided into sixteen zones.

    No. Name Abbr. Headquarters Date established

    1. Northern Railway NR Delhi April 14, 1952

    2. North Eastern Railway NER Gorakhpur 1952

    3. Northeast Frontier Railway NFR Maligaon(Guwahati) 1958

    4. Eastern Railway ER Kolkata April, 1952

    5. South Eastern Railway SER Kolkata 1955,

    6. South Central Railway SCR Secunderabad October 2, 1966

    7. Southern Railway SR Chennai April 14, 1951

    8. Central Railway CR Mumbai November 5, 1951

    9. Western Railway WR Mumbai November 5, 1951

    10. South Western Railway SWR Hubli April 1, 2003

    11. North Western Railway NWR Jaipur October 1, 2002

    12. West Central Railway WCR Jabalpur April 1, 2003

    13. North Central Railway NCR Allahabad April 1, 2003

    14. South East Central Railway SECR Bilaspur, CG April 1, 2003

    15. East Coast Railway ECoR Bhubaneswar April 1, 2003

    16. East Central Railway ECR Hajipur October 1, 2002

    17. Konkan Railway KR Navi Mumbai January 26, 1998

    Konkan Railway (KR) is constituted as a separately incorporated railway, with its headquarters at

    Belapur CBD (Navi Mumbai). It comes under the control of the Railway Ministry and the Railway

    Board.

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    The Calcutta Metro is owned and operated by Indian Railways, but is not a

    part of any of the zones. It is administratively considered to have the status of a zonal

    railway. Each zonal railway is made up of a certain number of divisions, each having

    a divisional headquarters. There are a total of sixty-seven divisions.

    Zonal Railway Divisions

    Northern Railway Delhi, Ambala, Firozpur, Lucknow, Moradabad

    North Eastern Railway Izzatnagar, Lucknow, Varanasi

    Northeast Frontier

    Railway

    Alipurduar, Katihar, Lumding, Rangia, Tinsukia

    Eastern Railway Howrah, Sealdah, Asansol, Malda

    South Eastern Railway Adra, Chakradharpur, Kharagpur, Ranchi

    South Central Railway Secunderabad, Hyderabad, Guntakal, Guntur, Nanded,

    Vijayawada

    Southern Railway Chennai, Madurai, Palghat, Tiruchchirapalli, Trivandrum,

    Salem

    Central Railway Mumbai, Bhusawal, Pune, Solapur, Nagpur

    Western Railway Mumbai Central, Baroda, Ratlam, Ahmedabad, Rajkot,

    Bhavnagar

    South Western Railway Hubli, Bangalore, Mysore

    North Western Railway Jaipur, Ajmer, Bikaner, Jodhpur

    West Central Railway Jabalpur, Bhopal, Kota

    North Central Railway Allahabad, Agra, Jhansi

    South East Central

    Railway

    Bilaspur, Raipur, Nagpur

    East Coast Railway Khurda Road, Sambalpur, Visakhapatnam

    East Central Railway Danapur, Dhanbad, Mughalsarai, Samastipur, Sonpur

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    PASSENGER SERVICES

    A long-distance express train

    Indian Railways operates 8,702 passenger

    trains and transports 15 million daily across

    twenty-five states and three union territories

    (Delhi, Puducherry (formerly Pondicherry)

    and Chandigarh). Sikkim, Arunachal

    Pradesh and Meghalaya are the only states

    not connected.

    The passenger division is the most preferred form of long distance transport in

    most of the country.

    A standard passenger train consists of eighteen coaches, but some popular

    trains can have up to 24 coaches. Coaches are designed to accommodate anywhere

    from 18 to 72 passengers, but may actually accommodate many more during the

    holiday seasons and on busy routes. The coaches in use are vestibules, but some of

    these may be dummied on some trains for operational reasons. Freight trains use a

    large variety of wagons.

    Each coach has different accommodation class; the most popular being the

    sleeper class. Up to nine of these type coaches are usually coupled. Air conditioned

    coaches are also attached, and a standard train may have between three and five air-

    conditioned coaches. Online passenger ticketing, introduced in 2004, is expected to

    top 100,000 per day by 2008, while ATMs in many stations will be equipped to

    dispense long-distance tickets by the end of 2007. ATMs are slated for installation on

    board select trains as well.

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    PRODUCTION SERVICES

    A WAP5 locomotive

    The Indian Railways manufactures a lot of its

    rolling stock and heavy engineering components.

    This is largely due to historical reasons. As with

    most developing economies, the main reason is import substitution of expensive

    technology related products. This was relevant when the general state of the national

    engineering industry was immature.

    Production Units, the manufacturing plants of the Indian Railways, are managed

    directly by the ministry. The General Managers of the PUs report to the Railway

    Board. The Production Units are:

    Central Organization For Railway Electrification, Allahabad

    Chittaranjan Locomotive Works, Chittaranjan

    Diesel Locomotive Works, Varanasi

    Diesel Locomotive Works, Ponmalaipatty, Tiruchirapalli

    Diesel-Loco Modernisation Works, Patiala

    Integral Coach Factory, Chennai

    Rail Coach Factory, Kapurthala

    Rail Wheel Factory, Bangalore

    Rail Spring Karkhana, Gwalior

    Bharat Earth Movers Limited, Bangalore

    BEML is not part of railways, but they do manufacture the coaches for IR and

    Metro coaches for DMRC and going forward for Bangalore Metro also.

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    1.2 CENTRAL RAILWAY WORKSHOP, MATUNGA

    The Carriage Workshop, Matunga was set up in 1915 as the repair workshop

    for broad gauge and narrow gauge coaches and wagons of the erstwhile great

    Indian Peninsular (GIP) Railway. The covers the triangular piece of the land

    /area of 35 hector, including a covered area of about 11 hectors, skirted by the

    Central Railway suburban corridors on the east and the Western Railway

    corridors on the west. The strength of the Employee is not more than 7500.The

    machinery plant to activity Matunga W/S is about 6500.The consumption of

    electricity is about 6 lakh-Units per month.

    MAIN ACTIVITIES:

    ACTIVITIES TARGET

    POH of Mail/Express Coach

    POH of Passengers Coach

    173 coaches per month including 28 AC

    coaches

    POH of EMU Coach 60 Coaches per month

    EMU rehab-mid-life

    EMU rehab-end-life 7 Coaches per month

    A few first of Matunga Workshop:

    First zonal railway workshop to get ISO-14001 certification in the years 2002.

    First railway coaching workshop to convert 99% of Mail/Express rakes into Air brake.

    First zonal railway workshop to convert ARMEs and A class ARTs into AIR BRAKE in the year 2002.

    First zonal railway workshop to start provision bogie mounted air brake system in1993-94.

    First zonal railway workshop to provide nylon bushes in brake rigging in1980.

    First zonal railway workshop to start the concept of END LIFE REHABILATION in EMU Coaches.

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    This workshop is awarded by ISO 9001:2000 as well as ISO

    14001:1996.in 2001 &2002 respectively.

    INTRODUCTION TO BOGIES

    A bogie is wheeled wagon or trolley. In mechanics terms bogie is chassis or

    framework carrying wheels attached to vehicle. It can be fixed in place as on a cargo

    truck, mounted on a swivel as on a railway carriage or locomotive or sprung as in the

    suspension of a caterpillar tracked vehicle.

    1.3 MAIN UNITS OF A BOGIE

    1. Bogie Frame

    2. Wheel and Axle

    3. Bearing Arrangement

    4. Bogie Frame -Axle Joint

    5. Bolster

    6. Primary Suspension

    7. Secondary Suspension

    8. Bogie -Body Joint

    9. Brake System

    1.4 FUNCTIONS OF A BOGIE

    To support the rail vehicle body.

    To run stably on both straight and curved track.

    To ensure ride comfort by absorbing vibration and minimizing centrifugal

    forces when the train runs on curved tracks at high speed.

    To minimize the effects generated by track irregularities and rail abrasion.

  • 17

    KEY COMPONENTS OF A BOGIE

    Bogie frame.

    Suspension to absorb shocks between the bogie, the bogie frame and rail

    vehicle body. Common types are coil springs and rubber airbags.

    At least two wheel set composed of axle with bearings and wheel at each

    end.

    Axle box suspension to absorb shocks between the axle bearings and the

    bogie frame.

    Brake equipment:-brake shoes are used which are pressed against the tread

    of the wheels.

    Traction motors for transmission on each axle.

    1.5 FACTORS AFFECTING BOGIE SUSPENSION

    Load on bogie.

    Velocity of train.

    Acceleration of train.

    Radius of curvature of track.

    Track irregularities.

    Fig- 1.5 BOGIE

  • 18

    CHAPTER NO 2

    BOGIE ASSEMBLY

    2.1 DESIGN FEATURES

    The main constructional and design features of the ICF/RCF all-coil bogies,

    used on mainline BG coaches are briefly described in the following paragraphs.

    Leading Parameters of ICF bogie are as under:

    S.No. Description Parameters

    1. Maximum Axle

    load bearing

    capacity

    16.25t, 13t

    2. Wheel base 2896mm

    3. Wheel diameter

    (New)

    915mm

    4. Axle guidance Telescopic axle guide

    with oil damping

    5. Primary

    suspension

    Coil spring

    6. Secondary

    suspension

    Coil spring

    7. Shock absorbers i) Vertical dashpot in

    primary suspension.

    ii) Hydraulic double acting

    vertical shock absorber in

    secondary suspension

    8. Transfer of

    coach body

    weight

    Through bogie side bearer

    pitched at

    1600mm.

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    Fig 2.1 ICF-BOGIE SIDE VIEW

    Fig 2.2 BOGIE BOLSTER ARRANGEMENT

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    2.2 ALL-COIL ICF BOGIE

    The bogies being currently manufactured by ICF/RCF which have been

    accepted as standards of the Indian Railways and are of an all welded light weight

    construction. Axles are located on the bogie by telescopic dash pot and axle guide

    assemblies. Helical coil springs are used in both the primary and the secondary stages.

    The axle guide device provides viscous damping across primary springs while

    hydraulic dampers are provided across the secondary stage. Dampers are protected

    against misalignment by resilient fittings. Isolation of vibration is effected by rubber

    pads in primary and secondary suspension.

    Deflection due to the tare weight is almost equally divided between axle and

    bolster springs. Weight of coach body is transferred to its bogie by side bearers

    pitched 1600 mm apart. Side bearers consist of lubricated metal slides immersed in oil

    baths. No vertical weight transfer is affected through bogie pivot and the pivot acts

    merely as a centre of rotation and serves to transmit tractive/braking forces only.

    2.3 WORKING

    The bogie frame and components are of all-welded light construction with a

    wheel base of 2.896 metre. The wheel sets are provided with self-aligning spherical

    roller bearings mounted in cast steel axle box housings. Helical coil springs are used

    in both primary and secondary suspension. The weight of the coach is transferred

    through side bearers on the bogie bolsters. The ends of the bogie bolsters rest on the

    bolster helical springs placed over the lower spring beam suspended from the bogie

    frame by the inclined swing links at an angle 7. Hydraulic shock absorbers and dash

    pots are provided in the secondary and primary suspensions respectively to damp

    vertical oscillations.

  • 21

    Fig 2.3 ICF BOGIE TOP VIEW

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    2.4 AXLE BOX GUIDE WITH DASH POT ARRANGEMENT

    Axle box guides are of cylindrical type welded to the bottom flanges of the

    bogie side frame with close dimensional accuracy. These guides together with lower

    spring seats located over the axle box wings, house the axle box springs and also

    serve as shock absorbers. These guides are fitted with guide caps having nine holes of

    diameter 5 mm equidistant through which oil in the lower spring seat passes under

    pressure during dynamic oscillation of coach and provide necessary damping to

    primary suspension to enhance better riding quality of coach. This type of rigid axle

    box guide arrangement eliminates any longitudinal or transverse relative movement

    between the axles and the bogie frame.

    Fig 2.4 DASHPOT ARRANGEMENT

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    2.5 BOGIE BOLSTER SUSPENSION

    The bolster rests on the bolster coil springs - two at each end, located on the

    lower spring beam which is suspended from the bogie side frame by means of

    bolster-spring suspension (BSS) hangers on either

    side. The two anchor links diagonally positioned are provided with silent

    block bushes. The links prevent any relative movement between the bogie frame and

    coach body.

    Fig 2.5 BOGIE BOLSTER DESIGN

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    2.6 SPRINGS

    In ICF bogie, helical springs are used in both primary and secondary

    suspension. The springs are manufactured from peeled and centreless ground bar of

    chrome vanadium/chrome molybdenum steel conforming to STR No. WD-01-HLS-

    94.

    Fig - 2.6 SECONDARY COIL SPRING

  • 25

    2.7 CENTRE PIVOT ARRANGEMENT

    The centre pivot pin joins the body with the bogie and transmits the tractive

    and braking forces on the bogies. It does not transmit any vertical load. It is equipped

    with rubber silent block bushes which tend to centralize the bogies with respect to the

    body and, to some extent, control and damp the angular oscillations of the bogies.

    Fig 2.7 CENTRE PIVOT ARRANGEMENT

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    2.8 SIDE BEARERS

    The side bearer arrangement consists of a machined steel wearing plate

    immersed in an oil bath and a floating bronze-wearing piece with a spherical top

    surface kept in it, on both sides of the bogie bolster. The coach body rests on the top

    spherical surface of these bronze-wearing pieces through the corresponding

    attachments on the bottom of the body-bolster. The whole arrangement is provided

    with a cover to prevent entry of dust in the oil sump.

    Fig 2.8 SIDE BEARERS

  • 27

    2.9 ANCHOR LINKS AND SILENT BLOCK

    The floating bogie bolster which supports the coach body is held in position

    longitudinally by the anchor links which are pinned to the bolster sides and the bogie

    Transoms. One anchor link is provided on each side of the bolster diagonally across.

    The links can swivel universally to permit the bolster to rise and fall and sway side

    wards. They are designed to take the tractive and braking forces. The anchor links

    are fitted with silent block bushes.

    Fig 2.9

    This is a synthetic rubber bush fitted in anchor link and center pivot of ICF

    bogies to transmit force without shock and reduce noise.

  • 28

    2.10 EQUALISING STAYS

    This device has been provided on bogies between the lower spring plank and

    the bolster to prevent lateral thrust on the bolster springs which have not been

    designed to take the lateral forces. These links have pin connections at both ends and,

    therefore, can swivel freely.

    Fig 2.10 EQUALISING STAYS

    2.11 BOLSTER SPRING SUSPENSION HANGERS (BSS HANGERS)

    In the secondary suspension, the bolster is supported on helical coil springs

    which are placed on the lower spring plank. The lower spring plank is suspended from

    the bogie side frame through BSS hangers on hanger blocks.

    Fig 2.11 HANGER WITH HANGER BLOCK

  • 29

    2.12 SHOCK ABSORBERS

    Hydraulic shock absorbers with capacity of 600 kg at a speed of 10 cm/sec.

    are fitted to work in parallel with the bolster springs to provide damping for vertical

    oscillations.

    Fig 2.12 SHOCK ABSORBER

  • 30

    CHAPTER NO 3

    LITERATURE REVIEW

    3.1 HOW BOGIES WORK BY ISAO OKAMOTO

    Okamoto defined the role of a railroad bogie in detail and discussed possible

    different configurations. Bogies are classified into types first by the number of axles

    in their configuration and the design of the suspension. The two axle bogie is the most

    common type found in rail vehicles and in the three-piece bogie. The suspension of

    the bogie is classified as either articulated or non-articulated. An articulated

    suspension is one that is located between two car bodies, holding the backside of one

    and the front side of the following car. A non-articulated suspension requires two

    separate trucks to support each end of one rail car. A Swing Hanger Bogie and a

    Small Lateral Stiffness Bolster Spring Bogie are two types of suspension designs

    which absorb rolling motion of the rail vehicle. Bolster and bolster-less bogies are

    another way to differentiate the suspension. The bolster bogie has a solid bolster

    which is the third piece in a three-piece bogie and connects the side frames. The

    bolster-less bogie has a centre plate and 2 separate suspensions on the side frames to

    support the rail vehicle. This paper also discusses the key elements of a bogie, which

    include the suspension gear, the bogie frame, the axle box suspension, wheels, axles,

    bearings, transmission and brakes. Some recent improvements include a tilting bogie,

    which tilts the rail vehicle toward the centre of the circle when turning.

    Another improvement is the steering bogie which allows each of the axles on a bogie

    to steer along a rail separately from the other.

  • 31

    CHAPTER NO 4

    MATHEMATICAL MODEL

    In order to create mathematical model of bogie suspension system every single

    element is treated with a lumped element model.

    It consists of three parts:

    1. the Carriage

    2. the Bogies

    3. the Wheel-sets

    The simplifying assumptions in this domain are:

    All objects are rigid bodies with all the mass concentrated in the center

    of gravity

    All interactions between rigid bodies take place via kinematic pairs (joints),

    Springs and dampers.

    Therefore the lumped elements mathematical model, is that in which the

    inertial, elastic and dumping properties of the physic continuous system

    are concentrate in different single components; doing so the model consist of

    rigid masses treatable as point masses and interlinked with springs and

    dumpers without a mass. Increasing the number of masses the model would

    better represent the real system, but obviously this would lead to a more

    complicate model and so a less computationally efficient one.

    4.1 TYPES OF VIBRATIONS

    Mainly vibrations can be divided in two types:

    FREE VIBRATIONS

    FORCED VIBRATIONS

    Free vibration occurs when a mechanical system is set of with an initial input

    and then allowed to vibrate freely. Examples of this type of vibration are pulling a

    child back on a swing and then letting go or hitting a tuning fork and letting it ring.

    The mechanical system will then vibrate at one or more of its natural frequency

    and damp down to zero.

  • 32

    Forced vibration is when an alternating force or motion is applied to a mechanical

    system. Examples of this type of vibration include a shaking washing machine due to

    an imbalance, transportation vibration (caused by truck engine, springs, road, etc.), or

    the vibration of a building during an earthquake. In forced vibration the frequency of

    the vibration is the frequency of the force or motion applied, with order of magnitude

    being dependent on the actual mechanical system characteristics.

    4.2 MODELING VIBRATING SYSTEMS

    It is known that Continuous Elastic bodies possess infinite DOFs(i.e,

    number of independent coordinates to completely describe motion). Considering that

    an analytical solution for these physical systems exists only for a few ones, specially

    those very simple, it is necessary to find a way to model those complicate systems

    with a simpler mathematical model, that brings to a low cost computational problem

    but at the same time resemble enough the real one.

    4.3 MULTIPLE DEGREES OF FREEDOM MODELS

    Clearly real life problems cant be studied often with a SDOF model but to

    reach a certain accuracy of results. MDOF multiple degree of freedom models have

    been studied and implemented.

    It is only remembered that a general MDOF mathematical model can always

    be expressed like this:

    [M] {x} + [C] {x?} + [K] {x} = {f}

    where symmetrical matrices [M], [C] and [K] and vectors {x} and {f} represents:

    [M] : Mass matrix

    [C] : Damping matrix

    [K] : Stiffness matrix

    {x} : displacements vector

    {f} : force vector

    Moreover it is important to notice that the dimension of the complete

    mathematical problem is equal to the number N of DOF considered, that means that

    the order of all the matrices is N x N and for the vectors N x 1.

  • 33

    Actually we study an infinite physical space, whose basis has infinite

    members, with a mathematical subspace whose basis consists of those N mode shapes

    taken into consideration.

    The mathematical problem is an eigenvalues one, where the natural

    frequencies of the real system are provided exactly by the eigenvalues of the

    mathematical one (i.e. 1,2 ...n ) and eigenvectors represent the mode shapes

    f = f1,f2 .. fn.

    In solving these kinds of problems lots of different mathematical ways have

    been followed; because of the big size of these problems (as aforementioned a real

    system has theoretically 8 DOF) the focus of the solver is on the reduction of it

    without big losses in accuracy and this mathematical operation is called modal

    truncation.

    We considered only those modes shapes whose natural frequencies are

    in the range of interest of our problem, and mainly mechanical one is that of low

    medium frequencies.

  • 34

    4.4 MATHEMATICAL MODEL FOR 2 DEGREE OF FREEDOM SYSTEM

    Arranging above equations in matrix form, we get

    Let be Eigen values,

    Solving this, we get & Natural frequency

  • 35

    To find Eigen vectors,

    Now, Actual suspension system is as follows- Now the problem is Multi degree force vibration, with support excitation. Let movement of base is SHM i.e. y= Y sin wt

    Where,

    Now By De- Alemberts principle to this, we get

    And

    To find modal matrix

    Eigen vector in matrix form, = and

    =

    Modal matrix

  • 36

    Let damping be proportional i.e.

    and

    ;

    In Principle coordinates (Pi) Equation becomes

    Whose solution is given as

    Now the time response is given by

    The above time responses were plotted in MATLAB by generating m code.

    4.5 MATHEMATICAL MODEL FOR 4 DEGREE OF FREEDOM SYSTEM

    Above sketch shows simple diagram for Four degree of freedom, Mathematical model.

    Let,

    Vertical displacement of Bogie from C.G.

    Vertical displacement of Coach from C.G.

    Angular rotation of Bogie through C.G.

    Angular rotation of Coach through C.G.

    Irregularities in Right rail

    Irregularities in Left rail

  • 37

    Mass of Bogie

    Mass of Coach

    M.I. of Bogie about longitudinal axis (in fig. Perpendicular to page)

    M.I. of Coach about longitudinal axis (in fig. Perpendicular to page)

    Now, the equations of the motion are derived by employing Lagranges Method.

    Total Kinetic Energy of the system,

    Total Kinetic Energy of the system,

    Where, Displacement of Bogie at Right end Displacement of Bogie at Left end Displacement of Coach at Right end Displacement of Coach at Left end

    From Fig. Similarly,

  • 38

    The Potential energy can be,

    Also the total energy in damping,

    Now, Lagrangian variable,

    ,

    Now, Equation of Motion is given as,

    Where, Equation of motion will be, ----(1) Similarly from solving,

  • 39

    We get, Following Equations of motions respectively, ----(2) Also, ----------------------------(3) And, ---------------------------(4)

    Now, Above four Equations are solved with the help of MATLAB software by generating required m code. The results obtained were then plotted.

  • 40

    CHAPTER NO 5

    MATLAB

    The mathematical model made in the previous chapter is now solved in

    MATLAB software.

    For this purpose we solve differential equation from mathematical model

    using Runge-Kutta method. In this we convert the nth order differential equation into

    n first order differential equation.

    5.1 MATLAB CODE FOR MATHEMATICAL MODEL OF 2 DOF

    %twodof.m clc; tspan=0:0.5:50; y0=[0.0;0;0;0]; [t,y]=ode23('dfunc2',tspan,y0); subplot(211); plot(t,y(:,1),t,y(:,3),'-'); Xlabel('t'); Ylabel('x1(t)'); grid on; subplot(212); plot(t,y(:,3)); xlabel('t'); ylabel('x2(t)'); grid on;

    %dfunc2.m function f=dfunc2(t,y) f=zeros(4,1); m1=1250; m2=25000; k1=270000*8; k2=315000*4; c1=6000*4; c2=6000*2; z=0.02; w=15; a=z*sqrt(k1*k1+c1*c1*w*w); phi=atan((c1*w)/k1); %F=8000*(stepfun(t,10)-stepfun(t,11)); F=a*sin(w*t+phi); f(1)=y(2); f(2)=F/m1-(k1+k2)*y(1)/m1+k2*y(3)/m1-(c1+c2)*y(2)/m1+c2*y(4)/m1; f(3)=y(4); f(4)=k2*y(1)/m2-k2*y(3)/m2+c2*y(2)/m2-c2*y(4)/m2;

  • 41

    From above code we plot results for various values of w(excitation frequency).

    1) For w=10 rad/sec.

    2) For w=15 rad/sec.

    3) For bump

    1) For w=10 rad/sec.

    Here x1(t) represents vertical displacement of frame whereas x2(t) represents

    vertical displacement of coach (bolster).

    In first plot both the results are plotted for ease of comparison.

    Where blue line indicates x1(t) & green line indicates x2(t).

    The excitation given to the track is 0.02 m at w=10 rad/sec.

    From the graph we see that displacement of both frame & coach is same with

    phase lag.

  • 42

    2) For w=15 rad/sec

    Above plot clearly indicates that as w increases the amplitude of coach is less

    as compared to frame

    Maximum displacement of frame= 1.2 cm whereas

    Maximum displacement of coach= 0.7 cm

    This means that vibrations transferred from frame to the coach decreases due to spring

    & damping action which is the desired result.

  • 43

    3)For bump

    Bump represents initial excitation for a fraction of time. It resembles track

    irregularities in actual condition.

    In the code the bump expression is given as follows

    F=8000*(stepfun(t,10)-stepfun(t,11));

    where F represents force transferred to wheelsets from track.

    The bump is given at time t=10 sec for a span of 1 sec.

    The plot is as follows

    From the above plot it is seen that due to bump at 10 sec the vertical

    displacement of both frame and coach increases, the former being greater in

    magnitude. And after the bump the vibrations gets damped due to spring & damping

    action.

  • 44

    5.2 MATLAB CODE FOR MATHEMATICAL MODEL OF 4 DOF

    %fourdof2.m clc; tspan=0:0.5:50; y0=[0;0;0;0;0;0;0;0]; [t,y]=ode45('dfunc43',tspan,y0); x1=y(:,1)+y(:,3); x2=y(:,1)-y(:,3); x3=y(:,5)+y(:,7); x4=y(:,5)-y(:,7); subplot(211); plot(t,x1,t,x3,'-'); xlabel('t'); ylabel('x1(t) & x3(t)'); grid on; subplot(212); plot(t,x2,t,x4,'-'); xlabel('t'); ylabel('x2(t) & x4(t)'); grid on;

    function f=dfunc43(t,y) f=zeros(8,1); m1=1250; m2=25000; k1=270000*4; k2=270000*4; k3=315000*2; k4=315000*2; c1=60000*2; c2=60000*2; c3=60000*1; c4=60000*1; i1=12000; i2=500000; w1=0; w2=15; phi1=atan(c1*w1/k1); phi2=atan(c2*w2/k2); z1=0.01; z2=0.01; a1=z1*sqrt(k1*k1+c1*c1*w1*w1); a2=z2*sqrt(k2*k2+c2*c2*w2*w2); %F1=a1*sin(w1*t+phi1); F1=43800*0.5*(stepfun(t,10)-stepfun(t,11)); %F2=a2*sin(w2*t+phi2); F2=43800*0.5*(stepfun(t,30)-stepfun(t,31)); f(1)=y(2); f(2)=(F1+F2-(k1+k2+k3+k4)*y(1)-(-k1+k2-k3+k4)*y(3)-(-k3-k4)*y(5)-(k3-

    k4)*y(7)-(c1+c2+c3+c4)*y(2)-(-c1+c2-c3+c4)*y(4)-(-c3-c4)*y(6)-(c3-

    c4)*y(8))/m1; f(3)=y(4); f(4)=(F1-F2-(-k1+k2-k3+k4)*y(1)-(k1+k2+k3+k4)*y(3)-(k3-k4)*y(5)-(-k3-

    k4)*y(7)-(-c1+c2-c3+c4)*y(2)-(+c1+c2+c3+c4)*y(4)-(c3-c4)*y(6)-(-c3-

    c4)*y(8))/i1; f(5)=y(6); f(6)=(-(-k3-k4)*y(1)-(k3-k4)*y(3)-(k3+k4)*y(5)-(-k3+k4)*y(7)-(-c3-

    c4)*y(2)-(c3-c4)*y(4)-(c3+c4)*y(6)-(-c3+c4)*y(8))/m2;

  • 45

    f(7)=y(8); f(8)=(-(k3-k4)*y(1)-(-k3-k4)*y(3)-(-k3+k4)*y(5)-(k3+k4)*y(7)-(c3-

    c4)*y(2)-(-c3-c4)*y(4)-(-c3+c4)*y(6)-(c3+c4)*y(8))/i2;

    From above code we plot results for

    1) Bump on left & right rail

    2) Irregularities of only left rail & right rail being even.

    1) Bump on left & right rail

    In right rail the bump appears at t=10 sec as follows

    F1=43800*0.5*(stepfun(t,10)-stepfun(t,11));

    In left rail the bump appears at t=30 sec as follows

    F2=43800*0.5*(stepfun(t,30)-stepfun(t,31));

    Here

    x1(t)= displacement of right side of frame shown by blue line in first plot.

    x2(t)= displacement of left side of frame shown by blue line in second plot.

    x3(t)= displacement of right side of coach shown by green line in first plot.

    x4(t)= displacement of left side of coach shown by green line in second plot.

  • 46

    From above plots following results are obtained

    a) At t=10 sec due to bump on right rail, the vertical displacements of right sides

    of frame and coach increases. Also its effect can be seen on the left sides of

    coach and frame as depicted in plot 2.

    b) At t=30 sec due to bump on left rail, the vertical displacements of left sides of

    frame and coach increases. Also its effect can be seen on the right sides of coach

    and frame as depicted in plot 1.

    2) Irregularities of only left rail & right rail being even.

    For this case the excitation is given on left rail only & right rail is kept even.

    w1=0; (excitation frequency for right rail)

    w2=15; (excitation frequency for left rail)

    Due to excitation on left rail only, the magnitude of vertical displacement of

    left sides of frame & coach (as depicted in plot2) is more as compared to those

    at right sides of frame & coach (as depicted in plot1).

  • 47

    CHAPTER NO 6

    DYMAMIC ANALYSIS IN UNIVERSAL MECHANISM 7.0

    6.1 SETUP

    MAIN PARTS OF THE SETUP

    Red:- Frame Light Grey:- Hanger

    Light Green:- Bogie Bolster Yellow:- Axle box

    Blue:- Primary Spring

    Dark Green:- Secondary Spring

    Dark Grey:- Wheel Set

    Bright Red:- Secondary Damper

    Bright Red:- Primary Damper

    Crimson Pink:- Anchor link

    Orange:- Lower Spring beam

    Light Pink:- Equalizing Stay

  • 48

    INITIAL CONDITIONS

  • 49

    6.2 STEPS IN UNIVERSAL MECHANISM

    1) Import models into universal mechanism from CAD software

    All the parts of a bogie were modeled in solid works and was imported in

    universal mechanism in the form of an image file.

    After this, subsequent bodies are created in universal mechanism and mass and inertia

    parameters of the bodies are specified.

    They are as follows

    FRAME

    BOLSTER

  • 50

    AXLE BOX

    LOWER SPRING BEAM

    EQUALISING STAY

  • 51

    HANGER

    Other parameters like wheel sets, primary and secondary suspension springs,

    and primary and secondary dampers were imported in universal mechanism itself.

    WHEELSET

    PRIMARY SPRINGS SECONDARY SPRINGS

  • 52

    PRIMARY DAMPER

    2) Create joints between various bodies.

    In this, we assign joints between various bodies and assign degrees of freedom

    to them. The various joints and degrees of freedom assigned are as follows:

    a) Rotational joint between axle box and wheelset. (1 DOF)

    b) 6 DOF between Frame and base.

    c) 6 DOF between bolster and base.

    d) 6 DOF between lower spring beam and bolster.

    e) Rotational DOF between equalizing stay and bolster.

    f) Rotational DOF between equalizing stay and lower spring beam.

    g) Primary suspension springs between axle box and frame.

    h) Secondary suspension springs between bolster and lower spring beam.

    i) Primary dampers between axle boxes and frame.

    j) Secondary dampers between bolster and lower spring beam.

    k) Rotational DOF between anchor link and bolster.

    l) Rotational DOF between anchor link and frame.

    m) Generalized joint for hangers.

  • 53

    a) Rotational joint between axle box and wheel sets

    b) 6 DOF between bolster and base.

    c) 6 DOF between bolster and base.

  • 54

    d) 6 DOF between lower spring beam and bolster.

    e) Rotational DOF between equalising stay and bolster.

    f) Rotational DOF between equalizing stay and lower spring beam.

  • 55

    g) Primary suspension springs between axlebox and frame.

    h) Secondary suspension springs between bolster and lower spring beam.

    i) Primary dampers between axle boxes and frame.

  • 56

    j) Secondary dampers between bolster and lower spring beam.

    k) Generalized joint for hangers.

  • 57

    6.3 SIMULATION PARAMETERS

    SOLVER : Park Method

    SOLUTION TYPE: Range Space Method

    If singularity is detected then Null Space Method

    SOLVER OPTIONS

    RAIL/ WHEEL

    Rail & wheel profile can be assigned in universal mechanism as shown below

  • 58

    WHEEL PROFILES

    Standard from file

    General Information about current simulation

  • 59

    CHAPTER NO 7

    ANALYSIS RESULTS

    In universal mechanism bogie is run at different speeds & a graph of special

    forces (i.e. forces induced in suspension springs) at ordinate along z direction v/s time

    on abscissa is plotted for even track irregularities as well as bad track irregularities.

    Following graphs show the results for

    1) Bogie running at 40 m/s on even track

    2) Bogie running at 40 m/s on uneven track (considering bad irregularities)

    3) Bogie running at 45 m/s on uneven track (considering bad irregularities)

    4) Bogie running at 46 m/s on uneven track (considering bad irregularities)

    Condition 2), 3) & 4) is tested on following irregular track

    The irregularities are assigned along Y & Z directions for a track of 1000 m distance.

    The irregularities go upto 25 mm at some distances.

  • 60

    1) BOGIE RUNNING AT 40 m/s ON EVEN TRACK

    A) PRIMARY SUSPENSION

    B) SECONDARY SUSPENSION

    As the figure suggests, on even track there are no forces induced on the primary as

    well as secondary coil springs

  • 61

    2) BOGIE RUNNING AT 40 m/s ON UNEVEN TRACK

    (Considering bad irregularities)

    A) PRIMARY SUSPENSION

    B) SECONDARY SUSPENSION

    At 40 m/s, bogie running on bad track, high forces are transferred by track onto the

    primary suspension springs & due to dampers & shock absorbers, comparatively less

    forces are transferred onto the secondary suspension springs.

  • 62

    3) BOGIE RUNNING AT 45 m/s ON UNEVEN TRACK

    (Considering bad irregularities)

    A) PRIMARY SUSPENSION

    B) SECONDARY SUSPENSION

    At 45 m/s higher forces are induced on primary suspension springs as compared to 40

    m/s. Also higher forces are induced on secondary suspension springs as compared to

    40 m/s.

  • 63

    4) BOGIE RUNNING AT 46 m/s ON UNEVEN TRACK

    (Considering bad irregularities)

    From above result it is seen that at 46 m/s the amount of forces induced on suspension

    springs are so higher that it cannot sustain it & the bogie derails. The following error

    is shown in the simulation window wheelset 2 is out of rail

  • 64

    CHAPTER NO 8

    CONCLUSION

    8.1 CREATING SCANNING PROJECT

    Here a scanning project for bogie is considered. The aim of this scanning

    project is to determine the critical speed of the bogie.

    Preface

    There are lots of criteria that engineers take into account during

    carrying out re-searches and optimization of parameters for railway vehicles.

    Stability of the rail-way vehicle is the one of the most important criteria of

    dynamical properties of the vehicle. Nowadays the most common estimation

    of the stability of the railway vehicle is its critical speed.

    Here the approach, which helps us to estimate the critical speed of

    the vehicle numerically with the help of series of computer experiments, is

    shown. We will run the bogie with the various velocities on the even track

    with the single lateral irregularity at the beginning of the track. Amplitude of

    the irregularity is 20 mm and its length is 10 m. Then we will analyze lateral

    oscillations of the vehicle and will see if the single irregularity leads to stable

    or instable motion.

    20 mm initial irregularity

  • 65

    8.2 RAILWAY CONFIGURATION

    It is necessary to set railway configuration.

    1. Firstly, lets define track irregularities. Select the Alternatives | Wheel/Rail |

    Track| Irregularities tab. Open file NoIrregularities.way for vertical irregularities (Z)

    and g10_20.way in lateral (Y) direction..

    2. Select the Alternatives | Wheel/Rail | Track | Macrogeometry tab. In the

    Track type group choose Tangent.

    3. Load rail profiles from the r65new.rpf file, and set newlocow.wpf profile for all

    wheels.

    Every numerical experiment will be done with such railway configuration.

    CREATING NEW SCANNING PROJECT

    1. From the Advanced analysis menu point to Scanning: new project.

  • 66

    LOADING A MODEL

    1. Select the Alternatives tab.

    2. Click the button (add family of alternatives).

    3. In the open dialog choose the required model.

    The model is loaded and added to the list of Family of alternatives

    4) In the List of parameters click Whole list

    | v0.

    5) In the new window Properties of

    identifier input values of

    20,30,32,34,36,38, and 40 m/s.

    6). Rename group of parameters Group1 to

    v0 (using popup menu).

    New group of the parameters v0 appears

    on the Hierarchy of parameters tab.

    Thus 7 numerical experiments will be done.

  • 67

    FINISH CONDITIONS

    Here you can describe finish conditions for each numerical experiment in the

    current family. Finish conditions are formulated in the following way:

    Interrupt a numerical experiment if at least one of the conditions is satisfied.

    Using scanning project you can set finish condition as

    Variable [Condition] Numerical value.

    You can use any variable from the Wizard of variables as stop criterion. By

    default, for the railway vehicle the following finish condition is formulated:

    Path Vehicle distance from the simulation start >= 500 m.

    It means every numerical experiment finishes when vehicle goes 500 m.

    Select the Alternatives | Variables tab.

    Rename the No name tab to Stability.

    Open Wizard of variables.

    Point to the Liner var. tab, select the WheelSet1.Wset body, from the Component

    group select Y (lateral direction). Create this variable and

    drag it into the Stability tab.

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    Point to the Wizard of variables | Railway tab. Select Path variable from the list

    of characteristics. Create this variable and drag it into the Stability tab.

    Now run the project

  • 69

    8.3 ANALYZING OBTAINED RESULTS

    Now we come to the analyzing of the bogie dynamics. Our analysis is based on

    the results of the scanning project we have just finished

    Let's have a look at the results of several single experiments. We will compare

    results for lateral oscillation of the first wheelset at 20, 30, 32, 34, 36, 38 and 40 m/s.

    Red colour- 20 m/s On X-axis- distance travelled in meters

    On Y-axis- lateral amplitude

    Green colour - 30 m/s

    It is seen from the graph that due to single lateral irregularity at the

    start, there is 25 mm maximum lateral displacement of first wheelset for both the

    speeds. It is quite clear, from above fig, those lateral oscillations that rose by singular

    lateral irregularity at 20 m/s diminish earlier as compared to 30 m/s. But the bogie

    becomes stable for both the speeds.

  • 70

    For 38 m/s

    It is seen from the above fig that at 38 m/s the bogie cannot sustain the initial

    irregularity and it derails.

    Hence the critical speed of the bogie is somewhere between 30 m/s and 38 m/s.

  • 71

    Now the simulation is tested for the speeds between 30 & 38 m/s.

    Black-20 m/s Green-30 m/s

    Crimson pink-32 m/s Blue-34 m/s

    Red36m/s

    From above figure it is seen that as speed increases, the lateral oscillations of

    the wheelset increases. At 36 m/s the lateral oscillations of the wheelset is more as

    compared to other speeds and it needs more time and distance to become stable.

    However the bogie doesnt derail at above speeds. But from the previous result we see

    that the bogie derails at 38 m/s.

    Hence the critical speed of the bogie is 36 m/s.

  • 72

    8.4 NEED FOR HIGHER SPEED

    Railway administrations, the world over, plan for higher speed operation, driven

    by the following considerations:

    a) Public demand for cutting down the journey time

    b) Competition for securing greater share of passenger market

    c) Image building at national/international level

    d) For improving operational efficiency,

    for example:

    i) Increase in speed helps in better utilization of rolling stock

    ii) Could help in obtaining wider windows for track maintenance

    iii) Helps in manpower reduction - reduced time on train will require

    less number of staff

    8.5 ON INDIAN RAILWAYS, THE POSITION IS DIFFERENT.

    In India, for majority of passengers, the demand is to get an accommodation in a train

    to reach their destination. It matters little to them, if the train reaches their destination

    a few hours earlier, particularly when they have to struggle and wait for days together

    to secure an accommodation in the train. Most of the trains on the important routes of

    Indian Railways are overcrowded. The position becomes worse during festival season,

    national holidays and summer holidays in the schools. For Indian Railways, the

    requirement therefore is to increase the number of trains to have more accommodation

    available to the travelers rather than the increase of speeds of their trains. On many of

    the Indian railway routes where high speed trains, at the maximum permissible speed

    of 140 kmph, have been introduced, the total journey time is still very high. Taking an

    example of New Delhi- Chandigarh route, a distance of 250 kms, Shatabdi train has

    a journey time of over 3 hours 15 minutes, whereas it should cover the distance in

    about 2 hours. A quick study would reveal that considerable time is lost at the starting

    and at intermediate stopping stations, on account of bad yard layouts and poor design

    of turnouts. There is also considerable scope for reduction in the time allowance made

    for permanent and temporary speed restrictions. Poor train control operation also

    causes considerable loss of time, on account of bad planning of precedences and

    crossings. Higher speed operation of a few trains is known to cause a loss of line

  • 73

    capacity in the section, as they consume a number of paths of slow moving trains.

    Unless the speeds of all the trains in the section, both passengers and goods are

    proportionately increased, higher speed operation is counterproductive, reducing the

    throughput capacity of the section.

    8.6 POSITION WITH RESPECT TO HIGHER SPEED OPERATION ON

    ADVANCED COUNTRIES

    Advanced countries meet all the requirements for high speed operation; vociferous

    public demand, competition from other modes of transport, image building etc. Their

    passenger trains are seldom full to capacity and thus additional trains are not generally

    needed. Railway administration in those countries continually made efforts in making

    the train journey to their passengers more attractive by:

    a) Making the journey more comfortable by improving track geometry

    b) Making the stations more friendly, easy to entrain and for changeover to road

    transport, elimination of foot over bridges etc.

    c) Quicker interchange at junction, stations

    d) Modern facilities in trains such as internet surfing, conference facilities etc.

    Value added services in trains can earn higher revenues and help in meeting the extra

    operational cost of higher speed operation. Value of time for a common person in

    these countries is much higher than in India. Thus any reduction in train journey is

    welcome.

  • 74

    8.7 TRACK TECHNOLOGY FOR HIGHER SPEED OPERATION IN

    ADVANCED COUNTRIES

    While the basic track structure, consisting of 60 kg 90 UTS rails and concrete

    sleepers is the same on advanced countries as on Indian Railways, the track

    maintenance standards are very high compared to the Indian Railways. Train journey

    even at higher speed is very smooth and comfortable. This has been achieved by

    making improvements in track structure and track maintenance practices such as:

    a) Stable formation- immediate attention to formation treatment given whenever

    any bad patch is noticed.

    b) Fool proof track drainage system- even by providing underground drains

    wherever needed.

    c) Rail welded into continuous lengths, through switches and crossings, bridges

    etc.

    d) Turnouts designed for high speed operation. At stopping station there is hardly

    any loss of time on account of trains moving from main lines to platform lines.

    As against that, even Shatabdi trains on Indian Railways loose considerable

    time when approaching destination station on account of slower movements on

    turnouts.

    e) Introduction of sleeper pads for bringing down track maintenance needs.

    f) Special treatment at places of change of track modulus such as approaches to

    bridges, turnouts etc.

    g) All track maintenance is carried out during traffic blocks only. Hardly a man is

    visible during the train journey.

    h) The need for manual track inspection has been minimized. Track monitoring

    system has been made very reliable. The maintenance works are all carried out

    based on the information, obtained from the track monitoring cars.

    i) Rail/weld fractures during service are rare. Defective rails/welds are removed

    well in time.

    As against that, fractures in large numbers occur on even Rajdhani routes in

    Indian Railways, affecting train operation. At higher speeds, such fractures can prove

    to be dangerous.

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    Apart from raising the standards of maintenance, the two important

    requirements of higher speed operations are fully met with in advanced countries.

    They are:

    i) Complete fencing of the railway track one can hardly see any person moving

    near the railway track. Even the track maintenance staffs cannot be seen

    during the train running time.

    ii) No level crossings.

    8.8 CONCLUSIONS AND RECOMMENDATIONS

    In conclusion, we may summarize as under:

    a) Maximum permissible speed on Indian Railways has got stuck at 140kmph on

    account of various limitations of fixed structures which include track and

    signaling system, although locomotives and coaches are now available which

    can operate at higher speed on the existing railway track maintained to present

    laid down tolerances.

    b) The need for higher speed on world railway systems has been driven by the

    need for attracting more passenger traffic thereby earning more revenue in

    addition to raising their international stature.

    c) On Indian Railways, where trains are overcrowded what a passenger need is a

    seat in the train. Only when this basic demand is fulfilled, the operation at

    higher speed will be welcome.

    d) Speeding up of the passenger trains on Indian Railways can be achieved by

    better yard layouts, adopting high speed turnouts, minimizing time allowance

    for permanent and temporary speed restrictions and by improving efficiency in

    track monitoring and maintenance.

    e) Complete fencing of the tracks, elimination of level crossings, better signaling

    system is a pre requisite for any high speed operation.

    f) Recent studies under the European project named Inno Track and the

    conclusion drawn in that can be a good guide for Indian Railways, for

    improving the efficiency of their track maintenance operation.

    g) Railway routes with sharp curves, where higher speed operation is restricted

    on account of limits of super elevations, deployment of tilting trains will

    provide the right solution.

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    h) Indian Railways must improve their track structure and track maintenance

    system and bring it at par with the advanced countries. Without such an

    improvement, higher speed operation will only be a nightmare for track men

    and uncomfortable if not unsafe for passengers.

    * * * * *

    REFERENCES

    www.universalmechanism.com.

    Mechanical vibration- S.S. Rao.

    Mechanical vibration- Schaum series.