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