Project Report on ATV prototype BAJA SAE INDIA

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    Design Anal ysis And Optimization Of Al l -ter r ain Vehicl e(ATV)

    Page 1

    CHAPTER N0. 1

    INTRODUCTION

    We approached our design by considering all possible alternatives for a

    system & modeling them in CAD software like CATIA, AutoCAD etc. to obtain a

    model with maximum geometric details. The models were then subjected to analysis

    using Analysis Work Bench 14 software. Based on analysis results, the model was

    modified and retested and a final design was frozen.

    Dynamics analysis was done in Lotus suspension analysis software. The

    aim was to optimize suspension variables to improve maneuverability. Theoretical

    calculations of performance characteristics were also done. Extensive weight

    reduction techniques were followed at every stage of the design to improve

    performance without sacrificing structural integrity.

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    CHAPTER N0. 2

    DESIGN CRITERIA FOR THE VEHICLE & METHODOLOGY:

    TABLE NO.- 2.1

    As shown in above table, special considerations were given to safety of the

    occupants, ease of manufacturing, cost, quality, weight, and overall attractiveness.

    Other design factors included durability and maintainability of the frame.

    NO. CRITERION PRIORITY

    1 Reliability Essential

    2 Ease of Design Essential

    3 Performance High

    4 Serviceability High

    5 Manufacturability High

    6 Health and Safety High

    7 Lightweight High

    8 Economic/Low

    Cost

    Desired

    9 Easy Operation Desired

    10 Aesthetically

    Pleasing

    Desired

    REQUIRMENTS :-

    Low Weight Vehicle.

    Better Economy.

    Better Comfort And Durability.

    DESIGN AND CAD WORK :-

    Collection Of Data And Calculation.

    CAD And CEA Work of the

    Subsystems.

    REVIEW AND IMPLEMENTATION :-

    Design Review And Project Plan.

    Maintaining Quality in Fabrication.

    Follow up And Project Plan.

    DFMEA AND VALIDATION :-

    Maintain DFMEA And DVP.

    Validate of The Vehicle For Designed

    Aspect.

    TESTING :-

    Testing The Vehicle For All the

    Terrains.

    Expecting Failures And Correcting

    Them.

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    CHAPTER N0. 3

    ROLL CAGE :

    The purpose of the Roll cage is to provide a safe environment for the

    occupant while supporting other vehicle systems. Several steps were taken to ensure

    this objective was met. For the frame design, we focused on a lightweight and safe

    frame that still meets all of the requirements set forth by SAE. Special considerations

    were given to safety of the occupants, ease of manufacturing, cost, quality, weight,

    and overall attractiveness. Other design factors included durability and maintainability

    of the frame.

    The frame design incorporated bends instead of miters in many of the

    structural members, believing that this allowed for faster construction, and increased

    material strength from cold working resulting in an overall increase in product

    quality. Although there was added cost associated with out-sourcing tube bending,

    this cost was offset by a reduction in fabrication man hours through decreasing the

    amount of mitered and welded joints and eliminating man hours and material needed

    to fabricate fixtures for fit-up ,The Roll cage consists of two main criterions as

    follows:

    3.1 MATEARIL SELECTION:

    The materials used in the cage must meet certain requirements of geometry

    and minimum strength requirements found in SAE. Since the frame is being used in a

    racing vehicle rather than a recreation vehicle, weight and cost is a very large factor in

    the shape and size of the frame. The proper balance of strength, weight and cost is

    crucial for the teams overall success.

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    Design Anal

    TABLE N

    In addition to th

    availability of the mater

    best suitable for the ro

    satisfying the bending sti

    was decided to be 2.1

    chassis and for the sec

    thickness of 2.1 mm

    3.2 FINE ELEMEN

    In order to opti

    Work Bench 14 was us

    six analysis tests conditi

    Torsional ansys heave a

    After running a

    member. After having ad

    constraints was complete

    the safety of the roll ca

    which is tabulated as foll

    Materia

    l

    UTS UY

    Mpa Mp

    1 AISI

    4130

    560 45

    2 AISI

    1020

    394.7 294.

    3 AISI

    1018

    440 38

    sis And Optimization Of Al l -ter r a

    .- 3.1 GRA

    e above table, selection depended mainly on

    al. From the above tables, we concluded that

    ll cage with economical cost and easier av

    ffness criteria and bending strength the thickne

    m for the O.D. of 28 mm for the primary m

    ndary members, O.D. was selected as 25.4

    ANALYSIS:

    ized the strength, durability and weight of Ch

    ed to analyze the chassis for all six loading c

    ns are Front Impact, Side Impact, Rollover

    d the loading on the frame from the front and r

    ll five analyses it was found that there is a nee

    ded these members, a second analysis using ide

    d and results of these tests are shown in table; f

    ge, proper analysis was done in the ANSYS

    ows:

    Elongation Youngs

    modulus

    % Gpa

    21.5 210

    7 36.5 200

    15 205

    n Vehicl e(ATV)

    Page 4

    H NO- 3.1

    the cost and

    ISI 1018 was

    ilability. For

    ss of the pipe

    mbers of the

    mm with the

    ssis Analysis

    ndition. The

    Impact, and

    ear shocks.

    of additional

    ntical loading

    or confirming

    Workbench

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    (Assuming the total weight of the vehicle is 320 kg)

    Setting up the analysis:

    Component Material

    Ultimate

    Tensile

    Strength

    (MPa)

    Yield

    Strength

    (MPa)

    Modulus of

    Elasticity

    (GPa)

    Percentage

    Elongation

    (%)

    Hardness

    (BHN)

    Roll Cage 1018 steel 450 380 265 16 130

    Hub 6082 Al alloy 225 186 70 12 75

    Adapter EN8 660 530 206 7 120

    TABLE NO.- 3.2

    TABLE NO.- 3.3

    RESULTS:

    TABLE NO.- 3.4

    DETAILS MAX

    FORCE

    MAX

    FORCE

    TIME OF

    IMPACT

    (kN) (in terms of gs) (s)

    1 Front impact 30 10 0.2

    2 Side Impact 9 3 0.2

    3 Roll Over Impact 6.4 2 0.2

    4 Torsional

    analysis

    1.88 3 FRONT -

    2.82 3 REAR -

    DETAILS MAX STRESS MAX

    DEFORMATION

    FOS

    (Mpa) (mm)

    1 Front impact 385.49 3.67 1

    2 Side Impact 303.09 1.02 1.2

    3 Roll Over Impact 272.64 4.74 1.3

    4 Torsional ansys - 1.84(F) 3.64(R) 1.26

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    Design Anal

    3.3.1 FRONT IMPA

    sis And Optimization Of Al l -ter r a

    CT: (8-10G)

    n Vehicl e(ATV)

    Page 6

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    Design Anal

    3.3.2 SIDE IMPAC

    sis And Optimization Of Al l -ter r a

    :(3G)

    n Vehicl e(ATV)

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    Design Anal

    3.3.3 ROLL OVER:

    sis And Optimization Of Al l -ter r a

    (2G)

    n Vehicl e(ATV)

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    Design Anal

    3.3.4 TORSTIONA

    sis And Optimization Of Al l -ter r a

    ANSYS:(3G FOR FRONT AND RE

    n Vehicl e(ATV)

    Page 9

    R)

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    CHAPTER N0. 4

    SUSPENSIONS:

    4.1 FRONT SUSPENSION:

    The problem that was encountered was to design a competitive front

    suspension for the ATV . To do this the operating conditions of the competition had to

    be researched, and from that design considerations had to be decided

    Consideration Priority Reason

    Simplicity Essential Main objective

    Lightweight Essential Lower weight means Faster car.

    10 of travel High To ensure ground contact always.

    Durability High It should be durable and reliable for

    any condition.

    Shock Absorbing Desired High shocks in the front.

    Adjustable Desired To adjust camber, toe in and out for

    improving handling.

    Compatibility with

    Steering

    Desired It must be compatible because

    suspension geometry is linked with

    steering geometry.

    From the above considerations to balance weight and cost savings for the

    manufacturers, and comfort and handling for the customer, several options for front

    suspensions were analyzed. For the best handling characteristics the front wheels must

    always be in perpendicular contact with the ground. Bump steer and camber gain must

    be minimized in both ride and roll changes. Two possibilities for the front suspension

    were a double a-arm and a single arm McPherson Strut suspension. The double a-arm

    suspension is the most feasible design according to our design, thus double A- arms

    were selected for the front suspension. To design the front suspension several

    software packages were utilized to ensure the best possible results. LOTUS SHARK

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    Design Anal

    simulation software was

    wheel travel.

    Fig. No.4.1 :-

    Fig. No.4.2 :- FR

    The front

    as possible, while maintmaintained by welding

    within a tolerance of 1 m

    The variati

    obtained from Lotus shar

    sis And Optimization Of Al l -ter r a

    used to create simulations for both parallel

    SIMULATION OUTPUT AND ROLL CENT

    NT SUSPENTION ASSEMBLY EXPLODED

    uspension arms were designed to be as easy t

    aining the high strength as desired. The Builhe A arms mounting brackets at the designe

    m

    on of the toe angle and camber with respec

    k

    GRAPH NO- 4.1

    n Vehicl e(ATV)

    Page 11

    and opposite

    R

    VIEW

    manufacture

    quality wasd hard points

    to bump as

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    Design Anal

    4.2 REAR SUSP

    There wer

    process of designing an

    trailing arm design with

    inches of travel, and are

    about half way up the

    travel while staying with

    that trailing arms were

    trailing arms allow fo

    interference by the susp

    for maintenance, and

    Consideration Priority

    Simplicity Essential

    Lightweight Essential

    8 of travel High

    Durability High

    The rear suspension geo

    below:

    Fig. No.4.3 :- RE

    sis And Optimization Of Al l -ter r a

    NSION:

    many objectives and considerations to look

    building the rear suspension. The rear suspe

    only one arm per side. The Fox Float air s

    ounted near the bearing carrier, near the end o

    ear main roll hoop. This allows for maximu

    in the range of the rear axle CV joint travel. A

    sed was that the drive train design was to be

    the full drive train assembly to be rem

    nsion. This enables the drive train to be pulle

    eeps the overall design of the rear of th

    Reason

    Easier to fix, build, design, analy

    Lower weight means Faster car.

    To ensure ground contact always

    Withstand abusive driving during the endu

    etry and modeling was done in Catia and it is a

    R SUSPENTION ASSEMBLY EXPLODED

    n Vehicl e(ATV)

    Page 12

    at during the

    sion is a full

    ocks have 6

    f the arm, and

    suspension

    nother reason

    modular. The

    ved without

    from the car

    e car simple

    e.

    .

    rance race.

    s shown

    IEW

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    The car has been driving for two weeks, there has been testing done to

    see if the suspension reacts the way intended by design. It turns out that the design of

    the rear suspension is working as well or better than expected.

    TABLE NO.- 4.1

    4.3 FOX RACING SHOCKS:

    Right from the beginning we focused on reducing the weight of the

    vehicle. The customized Spring and damper assembly of the vehicle was way too

    bulky to be used in ATV, thus team emphasized on Fox Shocks which reduced the

    weight of the vehicle to a large extent and provided easy adjustable stiffness to the

    shocks.

    From the market survey, the fox shocks were selected on the following criteria:

    Travel of the Shocks.

    Total extended Length of the shocks.

    Cost and availability.

    Thus, FOX FLOAT 2 air shocks were selected and procured. It provides 6 inches of

    travel and 19.8 inches of extended length, which is perfect from our design point of

    view.

    Parameter Values

    Front

    Suspension

    Rear

    Suspension

    Wheel

    Travel254 mm 206 mm

    Wheel Rate 9.294 N/mm 19.90 N/mm

    Jounce 117.4 mm 117.4 mm

    Rebound 39.14 mm 39.14 mm

    Camber

    Gain1.85 0

    PARAMETERS VALUES

    Caster 6

    Kingpin inclination 14

    Static Camber Set as Zero

    Static Toe In Set as Zero

    Roll angle @Speed 30 km/hr

    Roll Angle 172

    Turning Radius 5m

    Weight Transfer 90.77kg

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    CHAPTER N0. 5

    STEERING:

    On the rough terrains it is very essential to have the steering must be lightand should give quick response on turns. The design considerations are as follows:

    CONSIDERATION PRIORITY REASON

    Simple Design Essential Easy to repair during

    competition

    Light Weight Essential Lower weight means

    Faster car.

    Low Steering Ratio Essential Quick steering response

    Ackerman geometry High To make understeer.

    Minimize Bump steer Desired Conserve momentum

    while

    Steering

    Rack and Pinion steering system was selected due to its easy availability, easier

    maintenance, feasibility to modifications and the cost. Most of the analysis was

    focused on the steering system. The primary focus was on decreasing the steering

    effort. The team also focused on decreasing the amount of steering wheel travel, and

    increasing the steering responsiveness.

    In the normal rack & pinion vehicle the driver had to turn the steering

    wheel 540 to bring the wheels from the center to lock. The driver had to remove his

    hand from the wheel at least once to complete the turn. The goal was to allow the

    driver to use only 290 of steering wheel travel from the center to maximum wheel

    travel. The goal was accomplished by using a REDUCTION GEARBOX after the

    pinion .A new system provided a motion ratio of 6.5 to 1, or 70 mm of rack travel

    per revolution of steering wheel travel. The higher ratio rack has inherently larger

    steering effort, however using a longer moment arm tie rod mount offset this effect.

    The Ackermann angle was selected by analyzing wheel angles from previous years.

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    Design Anal

    The steering calculation

    TABLE NO.- 5.1

    Fig.

    PARAMETERS

    Rack travel(mm)

    Steering Wheel lock

    from centre

    Turning circle

    Radius(m)

    Scrub Radius (mm)

    Steering Ratio

    Steering Effort (N)

    Percentage Ackermann

    Tie rod Length (mm)

    sis And Optimization Of Al l -ter r a

    s are tabulated as:

    Fig. No. 5.1 :- STEERING

    No. 5.2 :- ACKERMANN GEOMETRY

    VALUES

    57

    109

    2.48

    36.57

    6.59

    108

    98.99

    400

    Fig. Ackermann geometry

    Fig. St

    asse

    n Vehicl e(ATV)

    Page 15

    ASSEMBLY

    ering

    bl

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    Design Anal

    5.1 STEERING RA

    In the normally v

    the wheels from the centat least once to complet

    only 290 of steering wh

    was accomplished by usi

    This gearbox con

    and the other smaller ge

    to the column of the stee

    by the Universal joint.

    It is as shown be

    Fig. No. 5.3 :- REDUCT

    GEARBOX EXPLODE

    sis And Optimization Of Al l -ter r a

    IO REDUCTION GEAR BOX:

    ehicle the driver had to turn the steering wheel

    r to lock. The driver had to remove his hand fthe turn. The goal for 2014 was to allow the

    el travel from the center to maximum wheel tr

    g a REDUCTION GEARBOX after the pinion

    sists of two gears: One bigger gear with diam

    r with the diameter of 35.5 mm. The bigger g

    ing wheel and the smaller gear is attached to t

    ow:

    ON TABLE NO.- 5.2

    VIEW

    Part

    Witho

    Reducti

    gearbo

    Steering Ratio 13:1

    Rack travel per revolutionof steering wheel

    35 m

    Required Rack travel

    (Centre to lock)70 m

    Rotation of steering wheel

    (Centre to lock)540

    Steering Effort 68 N

    n Vehicl e(ATV)

    Page 16

    540 to bring

    om the wheeldriver to use

    vel. The goal

    .

    ter of 68 mm

    ar is attached

    e pinion side

    t

    on

    Without

    Reduction

    gearbox

    6.5:1

    70 mm

    57 mm

    290

    108 N

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    CHAPTER N0. 6

    BRAKES:

    The braking system for the vehicle is responsible for stopping the vehicle at alltimes and is integral for the drivers safety. That why the brake must be capable of

    locking all the four wheels when applied so we incorporated disc brakes in the front

    and rear.

    CONSIDERATION PRIORITY REASON

    Simplicity High Overall goal of vehicle.

    Light Weight High Lightweight parts to

    minimize total weight.

    Performance High Capable of decelerating a

    320 kg vehicle.

    Reliability Essential Reliable to provide hard

    braking always.

    Ergonomics Essential Optimal pedal assembly

    fitment to suit every

    driver.

    According to the rim size and the braking calculations we chose to use Bajaj

    Discover ST discs that will be mounted on the hub in the front. Disc brakes were

    chosen because of the ace of compatibility, the availability of the replacement parts

    and the overall effectiveness that the system provides.

    For the rear design, rear disc brakes of Bajaj Pulsar 220 were used. It provided

    the required diameter of the disc and the required braking torque could be achieved.

    The design calculations are tabulated as follows:

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    PARAMETERS FRONT REAR

    Outer diameter(Custom) 190 218

    Effective Rolling

    Radius(mm)

    81 95

    Thickness(mm) 3.47 3.47

    Material Perlite Grey Cast Iron

    Radius Of Gyration(mm) 170 280

    Moment of Inertia(kg/m^2) 0.289 1.176

    Calliper BAJAJ DISCOVER 125 ST

    Calliper Piston

    Diameter(mm)

    28

    Coefficient of friction 0.45

    Tandem Master Cylinder Maruti 800

    TMC diameter(mm) 19.05

    TABLE NO.- 6.1

    PARAMETERS VALUES

    Braking distance(m) 17.66

    (Deceleration 0.8kg )

    Pedal Force(N) 130

    Pedal Ratio 1:4

    Inline Fluid Pressure 0.5bar

    Dynamic load Transfer(kg) 83.63

    Single Stop Temp. Rise(c) 22.5

    TABLE NO.- 6.2

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    CHAPTER N0. 7

    POWERTRAIN:

    The goal of the drive train is to transfer power from the engine of the vehicleto the wheels. The power transferred must be able to move the vehicle up steep grades

    and propel it at high speeds on level terrain. Acceleration is also an important

    characteristic controlled by the drive train. Calculations were done according to the

    considerations, looking at gear ratios, engine power and wheel size. After the

    calculations were re verified no reduction is to be given was decided. Hence direct

    line was given. Also during design, the angle of the propeller shafts was taken care.

    The drive train for the car has been radically overhauled to improve overall

    car performance and correct vulnerabilities. The Drive Train Based of Mahindra GIO

    was used based on the traction and speed calculations. The system benefited with

    simplicity and low cost.

    GIO transmission was used in forward configuration, this year to enhance

    torque the transmission is used in Reverse configuration. It can be tabulated below :

    GEARBOXMULTIPLATE

    CLUTCH

    GEAR RATIOS Initial

    Tractive

    Effort

    (N)

    Acceler

    ation

    (m/s)G1 G2 G3 G4 R

    PIAGGIO APE

    PASSENGERYES 25.52 15.16 9.25 5.96 30.62 1702.8 2.80

    MAHINDRA

    ALFA CHAMPIONYES 31.48 18.7 11.4 7.35 55.08 2100 3.76

    MAHINDRA

    ALFA

    PASSENGER

    YES 25.52 15.16 9.25 5.96 30.62 1702.08 2.80

    TATA NANO NO 27.6 15.6 10.08 6.64 31.42 1841.58 3.14

    MAHINDRA GIO YES 27.66 14.86 8.48 5.55 33.66 1845.58 3.15

    MAHINDRA GIO

    IN REVERSEYES 33.66 18.08 10.32 6.76 27.66 2245.93 4.11

    FORCE MINIDOR

    PICK UPNO 24.42 14.58 8.22 4.8 23.4 1629.40 2.63

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    Design Anal

    AUTORICKSHAW

    MAHINDRA

    CHAMPION

    The transmission was

    is explained below.

    Specification

    Fig. No. 7.1

    Gear ratio 4.979

    Overall gearratio

    4.925

    Max.

    Velocity54 km/hr

    Max. Torque 586.18

    Clutch type Multipla

    Gearbox type Trans-ax

    Shifter type sequenci

    DRIVELINE

    2 CVJ C

    Sleeves

    sis And Optimization Of Al l -ter r a

    ES 23.55 18.8 8.66 5.27 27.98 15

    NO 25.081 15.12 9.33 7 23.54 16

    TABLE NO.- 7.1

    coupled directly to the engine with a adapter.

    :- ADPATER ASSEMBLY EXPLODED VIE

    @Top gear

    m @ First gear

    e wet type clutch

    le Constant mesh gearbox

    l single wire shifter

    nnection Stock maruti 800

    n drive shaft for length correction

    n Vehicl e(ATV)

    Page 20

    71.35 2.49

    73.50 2.73

    his assembly

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    Design Anal

    7.1 ANALYSIS OF

    sis And Optimization Of Al l -ter r a

    HE ADAPTER:

    TABLE NO.- 7.2

    GRAPH NO.- 7.1

    PARAMETERS V

    Max. Equivalent

    Stress

    193.

    Max. Shear Stress 104.

    Max. Deformation 0.

    Factor of safety

    n Vehicl e(ATV)

    Page 21

    LUES

    46 mpa

    46 mpa

    3mm

    .74

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    Design Anal

    CHAPTER N0. 8

    WHEEL ASSEMB

    In an all-terrain v

    steering and getting theand rotational of inertia

    has low weight and low

    various surfaces and be c

    For the front, s

    control. Therefore, tires

    diameter of the rim will a

    For the rear, req

    with specifications of 25

    The Front wheel

    Bearings were selected a

    used. The Rear wheel h

    disc onto the hub.

    Fig. No. 8.1 :- FRON

    8.1 BODY PANEL

    To reduce the w

    Mild steel sheets. These

    sheet of 0.7 mm thickne

    weight. For the side pane

    sis And Optimization Of Al l -ter r a

    IES AND BODY PANELS:

    ehicle, traction is one of the most important a

    ower to the ground. Tire configuration, treadre critical factors when choosing proper tires.

    internal forces. In addition, it must have stro

    apable of displacing water to provide power wh

    aller diameter tires were used to allow bet

    with specifications of 21x7x10 were selected.

    llow the brake components to fit inside the whe

    irements are better traction and larger diame

    10x12 were selected.

    ub was made from Aluminum this year to redu

    ccording to required design, thus, Maruti Alto

    b is the OEM part and modifications were mad

    AND REAR WHEEL ASSEMBLY EXPLOD

    :

    ight of the vehicle, aluminum sheets were u

    sheets were bolted to the chassis. For the fire

    ss was used. This provided the required streng

    ls, aluminum sheet of 0.5 mm were used.

    n Vehicl e(ATV)

    Page 22

    pects of both

    epth, weight,The ideal tire

    g traction on

    ile in mud.

    ter maneuver

    The 10-inch

    el.

    er, thus, tires

    e the weight.

    earings were

    e to assemble

    ED VIEW

    ed instead of

    all aluminum

    th with lower

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    CHAPTER N0. 9

    ERGONOMICS AND SAFETY:

    Ergonomics is the science of equipment design intended to maximize

    productivity by reducing driver fatigue and discomfort. The ergonomics aspect of theSAE Baja vehicle is crucial in ensuring that the car will both meet all of the rules

    stated in the SAE rule book as well ensuring that all of the components of the car will

    function properly when assembled together. It is essential that each member of the

    team is able to safely and comfortably operate the vehicle.

    ParameterStd.

    Value

    Design

    ValueParameter Std. Value

    Design

    Value

    Angle at

    elbows110-130 110

    Steering Wheel

    Dia. (mm)- 320

    Angle at knees 120-150 130Angle of Steering

    Wheel20-45 20

    Clearance from

    vehicle

    (inches)

    - 4 Head Clearance - 6.5

    TABLE NO.- 9.1

    Drivers should be able to experience fast pace, exciting racing without

    risking major injury. Car 80 meets or exceeds all of the minimum safety requirements

    composed by the Society of Automotive Engineers and the event coordinators. In

    addition, a number of safety features have been added to further reduce the possibility

    of personal injury.

    An LED brake light warns other drivers of deceleration.

    A safety helmet and neck support protects the driver.

    A Six-point safety harness keeps the driver adequately restrained.

    Roll cage padding protects drivers head from impact.

    The remaining standard safety equipment, including arm restraints, fire

    extinguisher, and two kill switches were all placed for easy access and use, as well as

    maximum optimization of their functions during an emergency.

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    Design Anal

    CHAPTER N0. 10

    ELECTRICALS:

    The electrical s

    electrical circuitry is to bswitch.

    The electrical cir

    Fi

    sis And Optimization Of Al l -ter r a

    stem was proposed to work on many road

    e done mainly for the brake light, horn, reverse

    uit for the vehicle is as shown below:

    . No. 10.1 :- ELECTRICAL CIRCUIT

    n Vehicl e(ATV)

    Page 24

    vehicles. The

    light and kill

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    Design Anal

    CHAPTER N0. 11

    CONCLUSIONS:

    The Team used

    and prototype constructiSeveral team members

    gather ideas and informa

    could be incorporated int

    After initial testin

    in this years competitio

    and durability of all the

    the leaves for the compet

    Fig. No. 11.1

    ERGONOMI

    CONSIDERA

    sis And Optimization Of Al l -ter r a

    xtensive physical testing, hours of simulation

    n to create a vehicle that is fast, maneuverablettended the time to time workshops arranged

    ion about what design choices were successful

    o our design.

    it can be seen that our design should be a stro

    n. There will be extensive testing done to pro

    ystems on the car and make any necessary ch

    ition.

    :-

    CS

    ION

    Fig. No. 11.2 :- PVC M

    n Vehicl e(ATV)

    Page 25

    and analysis,

    , and reliable.by BAJA to

    and how they

    g competitor

    ve the design

    nges up until

    OCKUP

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    Design Anal

    CHAPTER N0. 12

    FRONT VIEW

    TOP VIEW

    sis And Optimization Of Al l -ter r a

    CAD MODELS:

    SIDE VIEW

    REAR VIE

    n Vehicl e(ATV)

    Page 26

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    Design Anal

    CHAPTER N0. 13

    DESIGN FAILURE

    SYSTEM COMPONE

    NT

    P

    IA

    FE

    Suspension

    TrailingArm

    T

    B

    Knuckle K

    Di

    on

    Power

    Train

    Drive Shaft

    D

    endi

    ial

    M

    wfai

    Steering Pinion PiF

    Brake

    Tandem

    MasterCylinder

    F

    ofro

    Lof

    fr

    fl

    Engine Engine Air

    Intake

    Cl

    gfil

    Pedal Fof

    li

    sis And Optimization Of Al l -ter r a

    MODE EFFECTIVE (DFME) ANAL

    TENT

    L

    ILUR ODE

    S O D R

    P

    N

    ACTION TAKEN

    rsion 7 7 3 147

    Optimum designconsideration to

    reduce tensional&bending force; co-

    linear line of actionof wheel& spring

    centerline.

    nding

    uckle

    slocati

    7 6 5 210 Soldering of

    Knuckle

    tachm

    t fromferent

    8 6 4 192 Perfect Shaft

    length

    uff

    ldlure

    10 8 4 320 Align using V

    block& Drill holein Muff coupling

    for excess weldmaterial

    Penetration .

    ionilure

    9 5 2 90 Replacement ofPinion

    ilure

    Pushd

    8 3 6 144

    Push rod should

    have adequateD.O.F; co-linear of

    line of action thepedal & pushrod.

    akageoil

    m

    id line

    9 4 3 108 Refill of brake oil

    oggin

    f Airter

    9

    7 4

    252 Rerouting of Air

    intake above thedriver seat through

    the firewall

    7 196

    8 224

    ilure

    kage

    10 4 3 120 Replacement oflinkage

    n Vehicl e(ATV)

    Page 27

    SIS:

    S O D R

    P

    N

    7 4 2 56

    7 2 2 28

    8 2 3 48

    8 3 3 72

    9 2 2 36

    8 2 4 64

    9 2 2 36

    10

    2 3

    60

    7 42

    8 48

    10 2 2 40

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    Page 28

    CHAPTER N0. 14

    DESIGN VALIDATION PLAN

    System Parameter Method Of Checking Design

    Value

    Steering

    Minimum

    Turning

    Circle

    Diameter

    Vehicle is to be taken to a surface

    with loose soil and a circle with

    steering wheel locked at full travel

    is to be negotiated. The distance

    between the two diametrically

    opposite points is to be measured.

    4.9 m

    Suspension

    Spring

    Stiffness

    Load is to be added to the spring

    while holding it in a vertical block.

    Load required to cause unit

    deflection is to be noted.

    Front-

    26.73N/mm

    Rear-

    40.10N/mm

    Travel

    The vehicle is to be loaded on a jack

    and front wheels and spring are

    removed. Damper is mounted in the

    designated position and point of

    maximum designed travel is

    marked. Hub is moved upwards

    manually till the point of maximum

    travel. Difference between the

    initial and final position of hub is to

    be noted.

    Jounce-

    117.4mm

    Rebound-

    39.14mm

    Transmission

    Maximum

    Gradient

    Climbing

    Move the vehicle over surface

    having inclination of 100

    .

    Transmission to be set on first gear,

    then allow the vehicle to climb the

    33

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    Page 29

    Capacity slope. Then subsequently increase

    the slope by 50 .

    until vehicle would

    not climb the slope. Previous angle

    is measured.

    Top speed

    Vehicle is to be loaded on a jack.

    Transmission is shifted to final gear

    and full throttle is given for 20

    seconds. Tachometer is to be held at

    the wheels and maximum reading is

    noted. Speed is calculated by using

    noted rpm.

    54 km/hr

    BrakesStopping

    Distance

    A reference line is to made, from

    which the driver is to start braking.

    The vehicle is to be at a

    predetermined speed while crossing

    that line. Maximum force is to be

    applied on brake pedal when front

    wheels cross the line. Distance is to

    be measured from the line to the

    front once the vehicle is brought to

    a complete halt.

    17.5 m

    Roll Cage Weld Test

    The welded joint is to be taken and

    tested on a Universal Testing

    Machine. The failure is to be

    observSZed. Another method is to

    take the welded joint and impactwith multiple hammer blows until

    failure. Failure of weld or material

    is noted.

    Weld is seen

    to fail.

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    Design Anal

    CHAPTER N0. 15

    TECHNICAL SPE

    ENGINE

    Type B

    S

    O

    Displacement, cc 3

    Max. Torque,

    Nm @ rpm

    1

    Max Power,

    kW @ rpm

    7.

    Transmission

    Mahindra GioGearbox

    4 forward 4 reverse

    speed

    Steering

    Front D

    Rear T

    Brakes

    Hydraulic Disc Brakes

    DimensionsLength (mm) 2

    Width (mm) 1

    Height (mm) 1

    Weight

    Kerb Weight (Kg) 2

    Gross Weight (Kg) 3

    Wheel size

    Front (inches) 2

    Rear (inches) 2

    Centre of GravityPosition w.r.t.

    center of base of

    firewall (mm)

    X

    Y

    Z

    sis And Optimization Of Al l -ter r a

    IFICATIONS

    Overall Performance Target

    riggs &

    tratton 10HP

    HV

    05

    9 @ 2500

    .5 @ 3600

    ouble

    ishbone

    railing Arm

    286

    600

    00

    0

    20

    1x7x10

    5x10x12

    :109.33

    :-45.82

    :165.26

    Light Weight Buggy

    Best Driver Safety a

    20% Front

    Left Weight Distribut

    30% Rear

    n Vehicl e(ATV)

    Page 30

    s

    d Ergonomics

    20%

    ion Right

    30%

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    Page 31

    CHAPTER N0. 16

    TESTING:

    FINAL VEHICLE

    BRAKE TEST JUMP TEST

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    CHAPTER N0. 17

    References:

    1 Vehicle Dynamics By Thomas D. Gillespie

    2 Windsor

    3 Mille ken & Millikenh

    4 Automobile Engineering volume 1-volume 2 By Kirpal Singh

    5 Google Search

    6ARAI India

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    APPENDIX A

    SUSPENSION DESIGN

    KINEMATIC ANALYSIS

    Sample calculation front suspension-

    A arm suspension:

    The weight of the vehicle is 200 kg but because of 40:60 ratio of weight distribution

    between front and rear suspension, the front weight is 80 kg.

    F = 8049.81

    =3139.2 N

    K =?

    ?(?=allowable travel=117.4 mm)

    =3139.2

    117.4

    = 26.73 N/mm

    Wheel rate/ wheel travel = (kw)

    Wheel rate is the actual rate of a spring acting at the tire contact patch

    kw = ks (M.R)2 sin(s).for trailing arm(from internet reference)

    kw = ks (M.R)2.for A-arm ( from Windsor as reference)

    for an offroad vehicle ideal value is 8 to 12 inch

    unit-N/m or lbs/inch

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    CALCULATIONS:-

    A) Front suspension-

    A-arm double wishbone-

    Motion ratio= 0.6

    Shock travel = 152.4 mm

    Motion ratio =????? ??????

    ? ???? ??????

    wheel travel =152.4

    0.6

    wheel travel = 254 mm = 10 inch

    Wheel rate (kw) = ks M.R2

    = 26.73 0.6

    2

    = 9622.6 N/m

    B) Rear suspension:-

    Trailing arm suspension-

    Motion ratio

    d1= 369 mm

    d2= 497 mm

    M.R = d1/d2 =369

    497= 0.74

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    Motion ratio =????? ??????

    ? ???? ??????

    Wheel travel =152.4

    0.74

    Wheel travel = 205.94 mm

    Wheel rate (kw) = ks(M.R)2sin(s)

    = 40.10 (0.74)2

    sin650

    = 19.90 N/mm

    = 19901.39 N/m

    Roll stiffness (k)

    Amount of roll moment needed to roll the suspension by one unit of

    rotation guidelines.

    Roll stiffness (k) =??

    ??

    ? ??.?(from internet)

    Unit Nm/deg or lbs/inch

    Front suspension

    A-arm double wishbone

    k =?? ?

    ?? ??.?

    =0.482 9622.8

    2 57.3

    = 19.34 Nm/deg

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    Rear suspension

    Trailing arm suspension

    k =?? ??

    ? ??.?

    t = 885 mm = 0.88 m

    kw = 19901.39 N/m

    k=0.882 19901.39

    2 57.3

    = 134.48 Nm/deg

    Jounce

    It is the upward movement or compression of suspension component.

    ? =?

    ?.from internet

    Rebound

    it is the downward movement or extension of suspension component.

    Rebound : jounce = 3:1

    Calculation:-

    A) Front suspension-

    A-arm double wishbone-

    Jounce(at 4g load) ? =?

    ?

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    =49.8180

    26.73

    = 117.44 mm

    Rebound (at 4g load) ? =?

    ?=

    ??.????

    ??.???

    = 39.14 mm

    B) Rear suspension:-

    Trailing arm suspension-

    Jounce(at 4g load) ? =?

    ?=

    49.81120

    40.10

    = 117.42 mm

    Rebound (at 4g load) ? =?

    ? = 39.14 mm

    Natural frequency:-

    The natural frequency is rate at which an object vibrates when it is

    not disturbed by an outside force.

    N.F =???

    ? ?????? ??????????..(from internet)

    Ideal value = 1 to 1.5 Hz

    N.F =?

    ??

    ? ???? ????

    ?????? ? ???

    A) Front suspension-

    A-arm double wishbone suspension

    N.F =???

    ? ?????? ??????????

    = 1.45 Hz

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    B)Rear suspension-

    Trailing arm suspension

    N.F =?

    ??

    ? ???? ????

    ?????? ? ???

    = 1.6 Hz

    Ride rate

    The change of wheel load at thecentre of tire contact, per unit vertical

    displacement of the sprung mass relative to the ground at a specific load.

    Calculation:-

    A). Front suspension-

    A-arm double wishbone suspension-

    Ride rate =??.??

    ?? + ??

    =26.73 0.421

    26.73+0.421

    = 0.414

    B). rear suspension :-

    Trailing arm suspension

    Ride rate =??.??

    ?? + ??

    =40.10 0.51

    40.10+0.51

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    Design Anal

    = 0.503

    Camber gain:-

    The amount of angle cha

    from the centre of car

    A. Front suspension

    Camber gain = 1 inch =

    Camber gain = joun

    = 117.4

    = 156.5

    = 6.16

    = 2.460

    Roll centre analysis

    sis And Optimization Of Al l -ter r a

    ge in front spindles as suspension travels inwa

    :-

    0.30

    for front suspension

    ce + rebound

    4 + 39.14

    8 mm

    n Vehicl e(ATV)

    Page 39

    d or outward

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    APPENDIX B

    STEERING DESIGN

    CALCULATIONS:-

    A) STEERING TYPE : RACK & PINION

    1. Rack Travel: 57mm

    2. Steering Wheel Centre to lock Angle 290

    3. Rack Used :- MARUTI 800

    B.TURNING RADIUS

    (R)2

    = (R1)2

    + (C)

    R = 2.48m

    C. STEERING RATIO

    S.R. = Steering Wheel Lock Angle / Road Wheel Angle

    S.R = 6.59

    D. STEERING EFFORT

    S.E. = Weight On Front Wheel/ Moment Ratio

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    S.E. = 108 N

    E .TIE ROD LENGTH 400mm

    F. PERCENTAGE ACKERMAN

    % Ackerman = (Angle Of Inner Wheel Angle Of Outer Wheel) / Angle

    Inside

    Wheel For 100% Ackerman

    % Ackerman = 98.99

    Fig. Ackerman Geometry

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    Design Anal

    G. Bump Steer Con

    To minimize bgeometry.

    Fi

    H. steering reductio

    sis And Optimization Of Al l -ter r a

    ideration

    mp steer, keeping tie rod parallel to Upper A-

    g. Bump Steer Correction

    gear box concept implemented in ve

    Fig. Reduction box Exploded view

    n Vehicl e(ATV)

    Page 42

    rm shown in

    icle.

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    Part Implementation in vehicle

    Steering Ratio 6.5:1

    Rack travel per revolution

    of steering wheel

    70 mm

    Required Rack travel

    (Centre to lock)

    57 mm

    Rotation of steering wheel

    (Centre to lock)

    290

    Steering Effort 108 N

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    APPENDIX C

    BRAKE

    CALCULATIONS:-

    A. TMC

    1. TMC- Maruti 800

    2. Piston dia.- 19.05mm

    3. Pedal ratio- 4:1

    4. Pedal Force- 130N

    B. Stopping Distance-

    = V/2

    = 17.63.

    C. Pedal braking force-

    =Total input to each TMC

    =Pedal force*No.of TMC

    =130*4

    =520

    D. Coefficient of friction

    = = 0.45

    E. Dynamic Load Transfer-

    W =(/g)*w*(H/L)

    =(0.8)*3500*(0.445/1.52) =819.73N

    =83.56kg

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    F. Inline Pressure-

    P = F/A

    = 520/((/4)(19.05))

    = 18.25bar

    G. Calliper/Brake force-

    F =P*A

    =(18.25*10^)*(1.23*10^-)

    =2244.75N

    H. Rolling radius-

    T = F*R

    But,

    Actual torque = Ideal torque * Brake Force

    =39 * 1.25

    =48.75kg.m

    Torque is divided by 2 wheels,

    48.75/2

    =24.375kg.m

    R= T/F

    = 24.375/2.44

    Pitch dia. =10.86

    Actual dia =217.2+28 . (28=calliper dia)

    =245mm

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    I. Temperature Rise-

    =22.5c

    J. Front wheel speci.-

    1. Type-Disc brake(custom)

    2. Size -21*7*10

    3. Disc dia.=190mm

    4. Front Pistriction-220mm

    5. Disc thikness-3.4=4mm

    K. Front wheel speci.-

    1. Type-Disc brake(custom)

    2. Size -25*10*123. Disc dia.=21.83

    4. Front Ristriction-260mm

    5. Disc thickness-4mm

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    APPENDIX D

    POWERTRAIN DESIGN

    CALCULATIONS:-

    Calculations for Gear Box Selection

    Taking following Assumptions:

    IE = 1= 1.3

    tot = 1

    rdyn = 0.29 m

    All calculations for 1st

    gear , taking available gear ratios in

    consideration.

    1. Piaggio Ape Passenger

    FzA = Total Available Traction

    Fzex = Excessive Traction =(FzA-FzB)

    FzB = Total Driving Resistance=534

    FzA = (Engine Torque Gear Ratio)(1000 rdyn) = (19.3525.52)(10000.29)

    = 1702.8 N

    FzEX = (FzA-FzB)

    = 1702.8-534

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    = 1168.8 N

    Acceleration =FzEX =mF a

    =a = ( FzEX) (mF )

    = 1168.8(3201.3)

    =a = 2.80 m/s2

    Gradient Angle on 1st

    gear

    FzEX = mF gsin(ast)

    =1168.8=3209.81 sin(ast)

    = (ast )= 22.9

    2.Gio In Reverse Calculations

    FzA=(19.3533.66)(10000.29)

    =2245.93 N

    FzEX =FzAFzB =1711.93 N

    Acceleration =FzEX = mF a

    =a = 4.11 m/s2

    Gradient Angle

    1711.93= mF gsin(ast)

    = (ast) =33.04

    According to above calculations same procedure for following

    vehicles.

    1. Mahindra Alfa Champion

    FzA= (19.3531.48)(10000.29)

    = 2100 N

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    FzEX = 1566.47 N

    Acceleration (a)= 3.76 m/s2

    (ast)= 29.93

    2. Mahindra Alfa Passenger

    FzA=1702.8 N

    FzEX =1168.8 N

    Acceleration(a)=2.80 m/s2

    (ast)=22.90

    3. TATA NANO

    FzA=184.58 N

    FzEX =1307.58 N

    Acceleration(a)=3.14 m/s2

    (ast)=24.60

    4. Mahindra Gio

    FzA=1845.58N

    FzEX =1311.58 N

    Acceleration(a)=3.14 m/s2

    (ast)=24.69

    5. Force Minidor Pick Up

    FzA=1629.40 N

    FzEX =1095.40 N

    Acceleration(a)=2.63 m/s2

    (ast)=20.42

    6. Auto Rikshaw

    FzA=1571.35 N

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    FzEX =1037.35 N

    Acceleration(a)= m/s2

    (ast)=19.29

    7. Mahindra Champion Passenger

    FzA=1673.50 N

    FzEX =1139.50 N

    Acceleration(a)=2.73 m/s2

    (ast)=29.28

    FINAL VALUE FOR TRANSMISSION SURVEY CHART

    Sr.

    No.

    Vehicle Name Initial

    Tractive

    Effort

    Acceleration Gradient

    Angle

    1) Piaggio Ape Passenger 1702.8 2.80 22.9

    2) Mahindra Alfa Champion 2100 3.76 29.93

    3) Mahindra Alfa Passenger 1702.8 2.80 22.9

    4) TATA NANO 1841.58 3.14 24.60

    5) Mahindra Gio 1845.58 3.14 24.60

    6) Mahindra Gio in Reverse 2245.93 4.11 33.04

    7) Force Minidor Pick Up 1629.40 2.63 20.42

    8) Auto Rickshaw 1571.35 2.49 19.29

    9) Mahindra Champion

    Passenger

    1673.50 2.73 21.80

    Transmission used in the vehicle on the basis of Accelerationand Traction

    Mahindra Gio in Reverse Configuration

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    Traction available on each gear of Mahindra Gio in

    Reverse Configuration .

    1

    st

    Gear = FzA1 = (19.3532.66)(10000.29) =2245.93 N

    2nd

    Gear = FzA2 = (19.3518.08)(10000.29)

    =1206.37 N

    3rd

    Gear = 688.59 N

    4rt

    Gear = 451.055 N

    Gradient on each gear when used in reverse configuration

    1st

    Gear = (ast) = 33

    2nd

    Gear= (ast) = 12.38

    2nd

    Gear= (ast) = 3

    3rd

    Gear= (ast) = 2.82 -1.51

    Reverse Gear = 24.69

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    Speed Calculations On Each Gear-

    V4 (kmph)= [(3.6/30max)rdyn]iA iE

    = [3.6 /3037000.283]3.761.1

    V4 = 53.08 kmph

    (n4 = 885 rpm)

    V3 (kmph) = [3.6 /3037000.283] 10.321.1

    V3 = 34.77 kmph ( n3 = 580 rpm)

    V2 (kmph)= 19.84 kmph

    (n2 = 331 rpm)

    V1 (kmph)= 10.66 kmph

    ( n1 =176.66 rpm= Roadwheel rpm)

    Torque Available on 1st

    Gear =G1 Max Torque of Engine

    T1 =33 19.35

    T1 =638.55 N.m

    Using 2 CVJ joints at Gear Box side Maruti 800

    Sleeve arrangement for drive shaft length correction is made.

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    Adapter ansys:

    PARAMETER VALUE

    Max Equivalent

    Stress

    193.46 Mpa

    Max Shear Stress 104.46 Mpa

    Max Deformation 0.13 mm

    Factor of Safety 2.74

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    APPENDIX E

    STRUCTURAL OPTIMIZATION OF AUTOMOTIVE

    CHASSIS:THEORY, SET UP, DESIGN

    Marco Cavazzuti and Luca Splendi

    (joint with Luca D'Agostino, Enrico Torricelli, Dario Costi and Andrea

    Baldini)

    MilleChili Lab, Dipartimento di Ingegneria Meccanica e Civile,

    Modena, Italy

    Universit_a degli Studi di Modena e Reggio Emilia

    [email protected]

    ABSTRACT

    Improvements in structural components design are often achieved on a trial-

    and-error basis guided by the designer know-how. Despite the designer experience

    must remain a fundamental aspect in design, such an approach is likely to allow only

    marginal product enhancements. A different turn of mind that could boost structural

    design is needed and could be given by structural optimization methods linked with

    niter elements analyses. These methods are here brief introduced ,and some

    applications are presented and discussed with the aim of showing their potential. A

    particular focuses given to weight reduction in automotive chassis design applications

    following the experience matured at Mille Chili Lab.

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    1. INTRODUCTION

    Optimization techniques are very promising means for systematic design

    improvement in mechanics, yet they are not always well known and applied in

    industry. Despite this, the literature over the topic is quite rich and is addressing boththeory and applications. To cite a few applications in the automotive _eld the works

    of Chiandussi et al. [1], Pedersen [2], and Duddeck [3] are of interest. They address

    the optimization of automotive suspensions, crushed structures, and car bodies

    respectively .Structural optimization methods are rather peculiar ways of applying

    more traditional optimization algorithms to structural problems solved by means of

    _nite elements analyses. These techniques are an effective approach through which

    large structural optimization problems can be solved rather easily. In particular, with

    the term structural optimization methods we refer to: (i) topology optimization,

    (ii)topometry optimization, (iii) topography optimization, (iv) size optimization, (v)

    shape optimization. In the following some of these techniques will be introduced and

    their application to chosen automotive structura ldesign problems discussed.

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    2. STRUCTURAL OPTIMIZATION

    In the de_nition of any optimization problem a few elements are necessary,

    these are: (i) design space or space of the possible solutions (e.g. in structural

    optimization this is often given by the mesh) (ii) variables, (iii)objective(s) (e.g. mass

    minimization), (iv) optimization constraints (e.g. stiffness and/or displacementstargets), (v) the mean through which, for a given set of variables, targets and

    objectives are evaluated (e.g.,in our case, _nite elements analyses), (vi) the

    optimization algorithm (e.g. in structural optimization this is commonly a gradient-

    based algorithm, such as MMA).Trying to simplify in a few words a rather complex

    and large topic, it could be said that the various structural optimization methods

    essentially differ from each other in the choice of the variables of the optimization

    problem as follows.

    2.1. Topology Optimization

    In topology optimization it is supposed that the elements density can vary

    between 0 (void) and 1 (presence of the material). The variables are then given by theelement-wise densities. Topology optimization was _rstly introduced by Bends_e and

    Sigmund and is extensively treated in [4]; it has developed in several directions giving

    birth to rather different approaches, the

    most simple and known of which is the SIMP (Single Isotropic Material with

    Penalization).(a) reference model, top view (b) reference model, bottom view (c)

    optimum layout Figure 1: Ferrari F458 Italia front hood: reference model and new

    layout from the optimization results. The optimization was performed in three stages:

    topology, optometry, and size.

    (a) reference model, top view (b) reference model, bottom view c) optimum layout

    Figure 1: Ferrari F458 Italia front hood: reference model and new layout from the

    optimization results. The optimization was performed in three stages: topology,

    topometry, and size.

    2.2. Topometry Optimization

    The idea behind topometry optimization is very similar to that of topology

    optimization, the variables being the element-wise thicknesses. Of course, this method

    does not apply to 3D elements where the concept of thickness could not be de_ned.

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    2.3. Topography Optimization

    Again topography optimization can be applied only to 2D or shell elements

    and aims at _nding the optimum beads pattern in a component. The concept is yet

    similar to the previous cases and, simply speaking, the variables are given by the set

    of the elements o_sets from the component mid-plane.

    2.4. Size OptimizationSize optimization is the same as topometry optimization, but in this case the

    number of variables is greatly reduced in that the shell thicknesses of components are

    considered in place of the single elements of the domain.

    3. APPLICATION EXAMPLES

    3.1. Automotive Hood

    The internal frame of the Ferrari F458 front hood has been studied aiming at

    reducing the weight while keeping the same performance target and manufacturabilityof the reference model. The targets relate to bending and torsion static load cases,

    compliance when closing the hood, deformations under aerodynamic loads. A suitable

    preliminary architecture has been de-_ned by means of topology optimization. The

    results have been re-interpreted into more performing thin-walled cross-sections. A

    series of topometry optimizations followed to _nd the optimal thickness distribution

    and identify the most critical areas. The solution was re_ned through size

    optimization. In the end, the weight was reduced by 12 %, yet in the respect of all the

    performance requirements (Fig. 1).

    3.2. Rear Bench

    The rear bench of a car is fundamental to isolate acoustically the passengers

    compartment from the engine. The bench of Ferrari F430 has been analyzed with the

    objective of reducing the weight while maintaining the

    same vibrational performance of the reference panel. Generally, the damping material

    distribution is not known during the numerical veri_cation stage, but is decided later

    during the experimental analysis, where the material is added iteratively to counteract

    the _rst normal modes. In this study vibration-damping material distribution and panel

    design, in terms of beads and thickness, have been optimized through size and

    topography optimizations at the same time. Size optimization is applied to control the

    thickness of the aluminum plate and of the vibrational-damping material. The

    presence of damping material should be limited to essential parts due to its relatively

    high weight. Thus, just one thickness variable was created for the aluminum layerbecause its value should be uniform along the plate, whereas several thickness

    variables were created locally for the damping layer. Topography optimization was

    used to improve the beads disposition in the panel. The objective of the optimizations

    was mass minimization, while the _rst normal mode frequency was constrained to be

    outside the range of interest (Fig. 2).

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    3.3. Automotive Chassis

    Topology optimization has been applied to the design of an automotive

    chassis. The objective of the optimization is still the weight reduction while the

    performance requirements regard handling and safety standards, in detail: (i) global

    bending and torsional stiffnesss, (ii) crashworthiness in the case of front crash

    (a) Size optimization variables (b) Optimum con_guration (c) Damping material optimum thickness

    subdivision deformed shape distribution

    Figure 2:

    Rear bench coupled optimization. In the results, blue stands for low

    deformation/thickness, red for high.(a) domain, or design space (b) optimum chassis

    con_guration (c) optimum roof con_guration

    (a) domain, or design space (b) optimum chassis con_guration (c) optimum roof con_guration

    Figure 3:

    Automotive chassis topology optimization. In the results, the density range

    from 0.1 (blue) to 1.0 (red). (iii) modal analysis, (iv) local sti_ness of the suspension,

    engine, and gearbox joints. The initial design space is given by the provisional vehicle

    overall dimensions of Ferrari F430 including the roof

    (Fig. 3(a)).

    The results for the chassis and the roof are shown in

    Figs. 3(b) and 3(c).A more detailed discussion on a combined methodology for chassis design

    including topology, topography and size optimizations was presented in [5] by the

    authors.

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    4. CONCLUSIONS

    A quick overview on structural optimization methods has been given including

    various application examples. Their potential has been shown to be large and it is

    believed that their spreading in mechanical design could boost innovation in industry

    considerably. Examples in the automotive _eld have been provided. To be noted thatthe different methods have different characteristics and in a design process it is

    recommended to rely on more than just one technique. For instance, topology and

    topometry optimizations are more suitable for an early development stage, whose

    outcome could be further re_ned through size and shape optimizations. On a general

    basis these techniques do not deliver the shape of the _nal product, but they give

    useful hints to the designer in view of the product development and engineering.

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    5. REFERENCES

    1] G. Chiandussi, I. Gaviglio, and A. Ibba, Topology optimization of an automotive

    component without _nal volume constraint speci_cation, Advances in Engineering

    Software, 35:609-617, 2004.

    [2] C. B. W. Pedersen, Crashworthiness design of transient frame structures using

    topology optimization,Computer Methods in Applied Mechanics and En-

    gineering, 193:653-678.

    3] F. Duddeck, Multidisciplinary optimization of carbodies, Structural and Multi

    disciplinary Optimization, 35:375-389, 2008.

    [4] M. P. Bends_e and O. Sigmund, Topology optimization: theory, methods and

    applications, Springer,2004.

    5] M. Cavazzuti, A. Baldini, E. Bertocchi, D. Costi, E.Torricelli, and P. Moruzzi,

    High performance automotive chassis design: a topology optimization basedapproach, Structural and Multidisciplinary Optimization, 44:45-56, 2011.