design analysis & optimization of formula-1 vehicle_8th sem_mse

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    DESIGN ANALYSIS &

    OPTIMIZATION OFFORMULA-1 VEHICLE

    Under the guidance of 

    Dr. Gavendra Nr!e"

    S#$%''ed $"(Aviral Dubey 111623Himanshu Yadav111639Manas i!ari 1116""

    #itesh $umar 11166"#ohit $umar 11166%

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    CONTENTS.N. TOPIC1& 'ro(ect )vervie!

    2& *or+ 'lan

    3& Design ,oals

    "& -te. by ste. develo.ment of formula 1 vehicle  /A0 ehicle oading  /0 Develo.ment of one !heel bum. model

      /40 5inite lement Model Develo.ment  /D0 #oll 4age testing using A7-Y-

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    Pr)e*' Overve+ he basic aim is to design8 analye8 o.timie

    and to create a .rototy.e of a single seatedformula one vehicle&

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    ,r! PanDESIGN

    • o designtheformulaonevehicleonsoft!are

    a..lication 4A:A

    A7AY-:-

    • oanalyeando.timiethedesign onsoft!are

    a..lication A7-Y-

    '#))Y'

    • o createthe.rototy.e!ith thehel. of-A&

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    ,HAT IS FORMULA

    ONE Modern 51 cars are single;seated8 o.en

    coc+.it8 o.en !heel racers&

    Must be constructed by the racing teamsthemselves8 .o!ered by 3&

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    De/n Ga he design goals include>

    Meet customer s.eci?cations&

    Minimie cost4reate innovative and functional design

    Minimie !eight

    ).timie .o!er ef?ciency

    Maintain mass .roduction feasibility

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    COMPARISONMer*ede F1 ,0 Gr#2 3-14

    )verall !idth 1@

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    STEP 3Y STEP DEVELOPMENT

    OF FORMULA-1 VEHICLEA& ehicle oading

    & Develo.ment of )ne *heel um. Model

    4& 5inite lement Model Develo.mentD& #oll 4age esting using A7-Y-

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    A. VEHICLE LOADING he main deformation modes for an automotive

    chassis are given in as>

    1& ongitudinal orsion2& ertical ending

    3& ateral ending

    "& Horiontal oenging

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    1. Ln/'#dna Trn orsion loads result from

    a..lied loads acting on oneor t!o o..ositely o..osedcorners of the car&

     orsional loading and theaccom.anying deformationof the frame and sus.ension.arts can aect thehandling and .erformance

    of the car&  he resistance to torsional

    deformation is +no!n asstiness&

    5igure > ongitudinal orsionDeformation Mode

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    5. Ver'*a 3endn/

     he !eight of the driverand com.onentsmounted to the frame8such as the engine and

    other .arts8 are carriedin bending through thecar frame&

     he reactions are ta+en

    u. at the aBles& erticalaccelerations can raiseor lo!er the magnitudeof these forces&

    5igure > ertical endingDeformation Mode

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    4. La'era 3endn/

    ateral bending loads areinduced in the frame forvarious reasons8 such asroad camber8 side !ind

    loads and centrifugalforces caused by cornering&

      he side!ays forces !illact along the length of thecar and !ill be resisted at

    the tires& his causes alateral load and resultantbending&

    5igure > ateralending

    Deformation Mode

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    6. Hr7n'aL7en/n/5or!ard and bac+!ard forces

    a..lied at o..osite !heelscause this deformation&

     hese forces may be caused

    by vertical variations in the.avement or the reactionfrom the road driving the carfor!ard&

     hese forces tend to distortthe frame into a.arallelogram sha.e assho!n in the ?gure&

    5igure > Horiontaloenging Deformation

    Mode

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    3. DEVELOPMENT OF ONE,HEEL 3UMP MODEL he total stiness $ total of the

    system is given by>

      1 C 1 1

      $ ''a $ 1 $ 2

    !hich is the generic

    eEuation of stiness fors.rings in series&

    Another useful eB.ression tomodel sus.ension eects !illbe to ?nd the eEuivalent

    torsional stiness /$  0 for alinear s.ring at the end of abar&

      $   C 2& $ 

     

    5igure > ubes in-eries

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    3. DEVELOPMENT OF ONE

    ,HEEL 3UMP MODEL 8*n'd.9

    5igure > ehicle-tic+ Model F

    4om.liant-.rings

    5igure >ehicle -tic+

    Model F4om.liant

    5rame

    5igure > ehicle-tic+ Model F

    4om.liant-.rings and

    5rame

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    3. DEVELOPMENT OF ONE,HEEL 3UMP MODEL 8*n'd.9 he load is a..lied at the front left !heel

    /.ositive B and y direction0& he other!heels are all constrained from motion inthe vertical direction&

    -ince the force a..lied at each !heel is

    eEual8 call it 58 the deGection of thes.ring at that !heel can be calculated if!e +no! the s.ring constant8 by thesim.le eB.ression 5C$B&

     herefore8 the total res.onse of the!heel8 reacting against some a..lied

    load can be found by the follo!ingeB.ression>

      1 C 1 1 1 1 1

      $ ''a $ 1 $ 2 $ 3 $ " $ %

    5igure > ehicle -tic+Model F 4om.liant

    -.rings

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    C. FINITE ELEMENT MODEL

    DEVELOPMENT5#AM A7D *H) 4HA--:- M)D:7,

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    C. FINITE ELEMENT MODELDEVELOPMENT 8*n'd.9

     he bare structural frame loo+s li+e follo!ing >

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    C. FINITE ELEMENT MODEL

    DEVELOPMENT 8*n'd.9 he com.lete ?nite element model of the

    vehicle is sho!n belo! >

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    C. FINITE ELEMENT MODEL

    DEVELOPMENT 8*n'd.9A table of the dierent element ty.es as used

    in the A7-Y- model is given belo! >ANSYS

    Ee%en'T"2e

    Ue

    eam" #ound and -Euare ubes8gussets8tabs

    in+@ ension4om.ression lin+s suchas.ull lin+s or a;arms

    4ombin= Ioint for roc+er

    4ombin1" -.ring in sus.ension /can handle

    dam.er as !ell0-olid"% -olid bloc+ used for engine

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    Ma)r C%2nen' : Fr%#a 1 Ve;*e#oll 4age

     -us.ension

     ra+es

     -teering Mechanism

     *heel Assembly

     Drive rain

     ody 'anel and -afety Eui.ment

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    R Ca/e( De/n O$)e*'ve 4om.ly all the rules

     'rotects the driver

    *ithstands all +ind of

    loads during .erformance o! mass

     o! cost

     asy to manufacture

    5ig> 4hassis Design

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    R Ca/e De/n-A #ule boo+ de?nes basic

    driver safety reEuirements

    Material selection8 tube sieselection8 geometry designand fabricating .rocessaect the roll cage.erformance8 mass andcost&

    #oll cage can be designed!ith lo! mass if the

    geometry is o.timied to!ithstand all the static8dynamic and im.act loadsby using relevant analysis

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    #oll 4age Dimensions/10 4oc+.it

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    /20 5ront Hoo.

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    /30 Main Hoo.

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    /"0 -ide racing

    M ) L d R C

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    Ma)r Lad n R Ca/e

    5ront:m.act

    #ear:m.act

    5 r o n t  #o l l o v e r     H

      e  a  v  e

       2  o

      a   d   i  n  g

         o  r  s   i  o

      n

       *

       h  e  e   l

       3  u  m  .

       5  a   l   l   D  o  !  n

    -ide:m.act

    - i d e  #o l l o v e r 

    5ig> -ide ie!

    5ig> 5rontie!

    *or+ing Method for

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    *or+ing Method forAnalysis

    Me;Genera'

    nSvn/(

    1.I%2a*''e'n/

    5.aerd"na

    %*Te'n/

    P'2r*e

    n/

    Md

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    R Ca/e Te'n/ #n/ ANSYS ,3

    5ront :m.act est

    #ear :m.act est

    -ide :m.act est

    5ront #oll )ver est

    -ide #oll )ver est

     orsional #igidity est

    5ront *heel um. est

    #ear *heel um. est

    Heave oading est

    Dro. est

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    R Ca/e Ana" #n/ ANSYS ,3 16.0

    Material> A:-: 1 =@=< +gm3

     Yield strength> %39 M'a

    Ma'era O#'erDa%e'er

    T;*!ne

    A:-: 1

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    R Ca/e( Ma'era UedA:-: 1

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    S#$"'e% Ma 8!/9

    #oll cage 33

    ngine 2=

     ire Assembly "% ransmission 2@

    -teering ra+es ody !or+ KAuBiliary com.onents

    2=

    Mass of the driver 9<

    T'a Ma 50

    R Ca/e( Fr*e E'%a'nDuring o.eration8 a roll cage is sub(ected to dierent +ind of

    loads K im.acts5orce values for dierent im.acts are calculated using

    7e!tonLs 2nd a! of Motion i&e& 5 C m a /70 !here m Ctotal mass of vehicle /$g0 a C deceleration during vehicleim.act /ms20

    Mass of each subsystem is considered as follo!s >

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    Frn' I%2a*' Te'

    N 5ront :m.act refers to front collision !ith a stationary ob(ect

    N #esearch has found that the human body !ill .ass out at loads muchhigher than 9 times the force of gravity /9 ,Ls0& A value of 1< ,Ls !as set asthe goal .oint for an eBtreme !orst case collision in case of front im.act

    N Hence ta+ing deceleration during vehicle im.act a C 1

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    N 1 5ront im.act O otal

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    5ig> 5ront im.act O MaBimum-tress

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    Rear I%2a*' Te'

    N A rear im.act is most li+ely to occur !ith the vehicle hit by anothervehicle at the rear end

    N #ear members of vehicle are sub(ected to 1

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    N 1 #ear im.act O otalDeformation

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    5ig> #ear im.act O MaBimum-tress

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    N he vehicle rolls over on its front end &

    N 2&%, load is eEually distributed to front ateral 4rossmember /40 (oints !hereas the base .lane (oints are

    ?Bed &

    5ig> 5ront #oll over O otalDeformation

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    5ig> 5ront #oll over O MaBimum -tress

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    -ide :m.act estN A side im.act is most li+ely to occur !ith the vehicle being hit byanother vehicle

    N As it is most li+ely to occur !ith the vehicle already in motion so the sideim.act force !as calculated +ee.ing % ,Ls of deceleration

    N Hence ta+ing deceleration during vehicle im.act a C %,

    N y 7e!tonLs 2nd la! of Motion8 5C ma C 2"9&2=%9&@1 C 12226&%< 7

    N his force is a..lied on " nodes on the left -ide :m.act Member /-:M0

    and o!er 5rame -ide /5-0 member

    N herefore force a..lied on each node C 12226&%

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    %, load is eEually distributed to one side (oints!hereas the other side (oints are ?Bed

    -elf !eight is included

    5ig> -ide im.act O otal

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    5ig> -ide im.act O MaBimum-tress

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    Trna R/d'" Te'

    N herefore maB C 2""%&3"1&32 C 1%@9&"= 7;m

    N As P C 5orce ength CQ 1%@9&"= C /25

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    N 5orce eEuivalent to vehicle !eight is a..lied on frontsus.ension .oints to re.resent the torEue !hile rear end

     (oints are ?Bed

    N he maBimum stress should be less than the yieldstrength of the material

    5ig> orsional #igidityO otalDeformation

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    5ig> orsional #igidityO MaBimum-tress

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     est #esultsTe' De:r%a'n 8%%9 S're8M2a95ront :m.act

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    THAN= YOU