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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 278
Design and Development of Three Link Suspension System for a
Quad Bike
Gaurav kadam1, Mohit Kamble2, Prajval Vaskar3, Prathamesh Sangelkar4
1,2,3,4Department of Mechanical Engineering, SAOE, Pune.
---------------------------------------------------------------------***---------------------------------------------------------------------
Abstract - In Quad bike, particularly in sports type,
Dependent suspension system is used as Rear suspension but
there are some drawbacks of the dependent system such as
lack of stability, high un-sprung weight, etc. Toovercomethese
drawbacks independent suspension is used (Double wishbone,
Three link, Multi-link). Now a-days Double wishbone
independent suspension system is widely used in Quad bike
because of its ease for manufacturing and cost. Butithassome
limitations too like it must be incorporated with anti-roll bar
to resist rolling which adds the weight to system. So to keep
the weight low with high performance suspension and more
rolling stiffness three link suspension was designed. Thepaper
describes the design and simulation of this type of suspension
in quad bike.
Key Words: Independent Suspension, Three Link, CREO
3.0, Lotus Shark, ANSYS 16, Roll gradient.
1. INTRODUCTION
Suspension system is a system which isolates the body and
occupants from the irregularities of the road surface. It
consists of tire, springs, shock absorbers, linkages. It is
important for the suspension to keep the tire in contactwith
the road surface as much as possible, because all the road or
ground forces act on the vehicle through the contactpatches
of the tires.
Functions of suspension system:
-Provide vertical compliance so the wheel can follow the
uneven road, isolating the chassis from irregularities on the
road.
-Maintain the wheel in the propersteerandcamberattitudes
to the road surface.
-React to the control forces produced by the tires-
longitudinal (acceleration and braking) forces, lateral
(cornering forces), and braking and driving torques.
-Keep the tire in contact with road with, minimal load
variations.
- It should transfer minimum forces to the chassis.
-The properties of a suspension system are important to the
dynamics of the vehicle primarily seen in the kinematic
(motion) behaviour and its response to the forces and
moments that it must from tires to the chassis. In addition,
the other characteristics considered in the design process
are cost, weight, package space, manufacturability, ease of
assembly etc.
Dependent suspension system:
This type of suspension system actsasa rigidbeamsuchthat
any movement of one wheel is transmitted to the other
wheel. Also, the force is transmitted from one wheel to the
other.
Independent suspension system:
Independent suspension allows each wheel to move
vertically without affecting the opposite wheel.Independent
suspension provides higher roll stiffness relative to vertical
spring stiffness. In this roll center is easytocontrol bychoice
of geometry of control arms, the ability to control tread
change with jounce and rebound, larger suspension
deflections. It also has better resistance to steering
vibrations.
1.1 Objective
The objective of this research is design and analysis
of independent rear suspension for an all-terrain vehicle
(quad bike). In rough terrains suspension plays vital role in
ride comfort, load transfers and to some extent in safety too.
The suspension was designed keeping all the vehicle
performance requirements in these kind of terrains. Three
link type of suspension was selected because of its added
advantage to rolling stiffness and comparativelylow weight.
1.2 Terminology
 Degree of freedom:
The assemblage of control arms in suspension system is to
control the motion of the wheel in only one path i.e. bumps
and droop. That path may also have camber change, castor
change and toe change as the wheel moves. So the design of
suspension system includes restraining the knuckle to
limited motion in five directions.
 Instant center of rotation:
It is the point about which the all the links rotates. As in
suspension the link moves up and down relative to the road
conditions, instant center of rotation plays a vital role in
limiting the camber change, castor change etc.
 Instant axis:
In three dimensional space instant centers are replaced by
instant axis. It is obtained by connecting instant centers in
front view and side view of the geometry. It is the axis about
which the wheel moves. It doesn’t change with the
suspension travel.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 279
 Camber gain:
It happens with change in the motion of wheel
corresponding to bumps or droops. Length of the links, ICR
affects the amount by which camber changes. The more the
length of the suspension links less will be thecamberchange
and vice versa. Similarly, the geometry having ICR at long
distance have shorter camber gain as the geometrymoves in
arc having larger radius. Length of the arm also affectsscrub
of the tire i.e. lateral motion of the tire.
 Roll gradient:
The stiffness in roll is conveniently expressed in normalized
form as degrees of roll per unit lateral acceleration (deg/g).
This is called roll gradient.
2. DESIGN OF THREE LINK SUSPENSION
2.1 Iteration
The design is based on Instant axis concept. Instant axis
was obtained by connecting ICRs in both side view and front
view. Various constraints such as chassis, differential,
mounting tabs etc. were considered. Iterationsweredoneby
changing the position of ICR and the link angles. One with
minimum camberchange,wheelbasechangeandtrack width
change was finalized. Knuckle pivot points were assumed
considering the packaging of the wheel assembly. Iterations
were done using CREO 3.0.
Fig 1- Front view ICR
Fig 2- Side view ICR
Fig 3- Top view ICR
2.2 Simulation
The suspension simulation was done in LOTUS SHARK.
The position of the hard points was imported from the link
design in CREO. It gave various dynamic parameters of the
suspension system, summary of which is illustrated via
images below.
Fig 4- Line diagram in LOTUS
Chart -1: Camber change with travel
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 280
Chart -2: Toe change with camber
Chart -3: track change with travel
Table -1: Incremental suspension values
Table -2: Incremental suspension values
Table -3: Incremental suspension values
2.3 Link analysis on ANSYS 16.0
Pipe Material - AISI 4130, Dimensions – OD=25.4,
Thickness=1.6mm
Fig 5- Total deformation
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 281
Fig 6- Von misses stress
Sr. No Parameters Values Obtained
1 Maximum deformation 7.21mm
2 Equivalent stresses 398Mpa
Table -4: Result
2.4 Calculations for Ride rate and Roll rate
Front Track width (tf) = 3.5 feet
Rear Track width (tr) = 3.33 feet
Wheelbase (l) = 3.83 feet
Height of C.G from the ground (h) = 1.44 feet
Distance between C.G to Roll axis (H) = 0.8 feet
Cornering radius (R) = 10 feet
Speed of vehicle (V) = 15 Km/h
Angle of banking (α) = 0°
Weight on front left tire (W1) = 100 lb
Weight on front right tire (W2) = 100 lb
Weight on rear left tire (W3) = 122.22 lb
Weight on rear right tire (W4) = 122.22 lb
Total weight on Front tires (Wf) = 200 lb
Total weight on rear tires (Wr) = 244.44 lb
Total Weight of vehicle (Wt) = 444.44 lb
Calculation for location of C.G
Location of C.G from rear axle (b) = (Wf * l)/Wt
= (200*3.83)/444.44
= 1.723 feet
Location of C.G from front axle (a) = l-b
= 3.83-1.723
= 2.107 feet
Lateral acceleration = V2/Rg
=192.51/ (10*32.2)
=0.59 g’s
As there is no banking of road
Effective weight (W’) = Total weight (Wt)
Therefore, Effective weight on front side= Total weight on
front side
(Wf’) = (Wf)
= 200 lb
Effective weight on rear side= Total weight on rear side
(Wr’) = (Wr)
= 244.44 lb
Weight transfer due to lateral acceleration
Assume the vehicle is taking right turn
Weight transfer on front axle = (lateral acceleration *height
of C.G.* front axle load)/front track width
= 0.59*1.44*200/3.5
= 49.19 lb
WFO= 100+49.49
= 149.49 lb
WFI= 100-49.49
= 50.51 lb
Weight transfer on rear axle =(lateral acceleration*heightof
C.G.* front axle load)/ rear track width
= 0.59*1.44*244.44/3.33
= 62.36 lb
WRO = 122.22+62.36
= 184.58 lb
WRI= 122.22-62.36
= 59.86 lb
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 282
Change from the static level measured on the ground
WFO = 149.49-100=49.49 lb
WFI = 50.51-100 = -49.49 lb
WRO = 184.59-122.22= 62.36 lb
WRI = 59.86-122.22= -62.36 lb
Assume 3.5 inches of jounce travel and use 2.5 inches to
accommodate weight increase allowing 1 inchforadditional
travel due to braking, accelerationandlocalizedbump on the
track.
Ride rates
Ride rate front (KRF) = 49.49/2.5
= 19.79 lb/inch
Ride rate rear (KRR) = 62.36/2.5
= 24.94 lb/inch
Ride frequencies assuming side to side geometry
ωF = 1/2π (KRF * 12 *32.2/W1)
=1/2π (19.79 * 12 *32.2/100)
= 1.39 Hz or 83.88 cpm
ωR = 1/2π (KRR * 12 *32.2/W3)
= 1/2π (24.94 * 12 *32.2/122.22)
= 1.41 Hz or 84.79 cpm
Most rear drive vehicle, the front natural frequencyishigher
than rear, based on front roll stiffness requirements. At this
point, ωR cannot be less than 84.79 cpm withoutusingupthe
2.5 inch of bump travel. This cannot be decreased, thus ωF
will be increased to 115 cpm.
To increase ωF square the ratio of natural frequencies.
ωFnew / ωFold = ( 115/88.88)2
= 1.87
Therefore new front ride rate is = 19.79*1.87
= 37.19 lb/inch
Assuming left and right ride rates are same
Therefore roll rates,
KΦF =12*KRF* tf
2 /2
= 2733.46 lb-ft/rad.
KΦR = 12* KRR* tR
2 /2
= 1659.34 lb-ft/rad.
Roll gradient = Φ/lateral acceleration= -W*H/ (KΦF + KΦR )
= -444.44*0.8/(2733.46+1659.34)
= - 0.08 rad/g or -4.63 deg/g.
3. VEHICLE PHOTOS
Fig 7- Three link suspension on quad bike
Fig 8- Vehicle during cornering
4. CONCLUSION
After numerous iterations on link design, we were able to
formulate and implement a three link suspension for a quad
bike. Suspension had a little more camber gain compared to
double wishbone but it successfullyfulfilledtherequirement
of less vehicle roll. As an all-terrain vehicle it had sufficient
wheel travel with more vehicle stability and durability.
REFERENCES
[1] William F. Milliken and Douglas L. Milliken, “Race Car
Vehicle Dynamics”; ISBN 1-56091-526-9.
[2] Carroll Smith, “Tune to Win”.
[3] Thomas D Gillespie, “Fundamentals Of Vehicle
Dynamics”.
[4] V B Bhandari, “Design Of Machine Elements”.

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IRJET-Design and Development of Three Link Suspension System for a Quad Bike

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 278 Design and Development of Three Link Suspension System for a Quad Bike Gaurav kadam1, Mohit Kamble2, Prajval Vaskar3, Prathamesh Sangelkar4 1,2,3,4Department of Mechanical Engineering, SAOE, Pune. ---------------------------------------------------------------------***--------------------------------------------------------------------- Abstract - In Quad bike, particularly in sports type, Dependent suspension system is used as Rear suspension but there are some drawbacks of the dependent system such as lack of stability, high un-sprung weight, etc. Toovercomethese drawbacks independent suspension is used (Double wishbone, Three link, Multi-link). Now a-days Double wishbone independent suspension system is widely used in Quad bike because of its ease for manufacturing and cost. Butithassome limitations too like it must be incorporated with anti-roll bar to resist rolling which adds the weight to system. So to keep the weight low with high performance suspension and more rolling stiffness three link suspension was designed. Thepaper describes the design and simulation of this type of suspension in quad bike. Key Words: Independent Suspension, Three Link, CREO 3.0, Lotus Shark, ANSYS 16, Roll gradient. 1. INTRODUCTION Suspension system is a system which isolates the body and occupants from the irregularities of the road surface. It consists of tire, springs, shock absorbers, linkages. It is important for the suspension to keep the tire in contactwith the road surface as much as possible, because all the road or ground forces act on the vehicle through the contactpatches of the tires. Functions of suspension system: -Provide vertical compliance so the wheel can follow the uneven road, isolating the chassis from irregularities on the road. -Maintain the wheel in the propersteerandcamberattitudes to the road surface. -React to the control forces produced by the tires- longitudinal (acceleration and braking) forces, lateral (cornering forces), and braking and driving torques. -Keep the tire in contact with road with, minimal load variations. - It should transfer minimum forces to the chassis. -The properties of a suspension system are important to the dynamics of the vehicle primarily seen in the kinematic (motion) behaviour and its response to the forces and moments that it must from tires to the chassis. In addition, the other characteristics considered in the design process are cost, weight, package space, manufacturability, ease of assembly etc. Dependent suspension system: This type of suspension system actsasa rigidbeamsuchthat any movement of one wheel is transmitted to the other wheel. Also, the force is transmitted from one wheel to the other. Independent suspension system: Independent suspension allows each wheel to move vertically without affecting the opposite wheel.Independent suspension provides higher roll stiffness relative to vertical spring stiffness. In this roll center is easytocontrol bychoice of geometry of control arms, the ability to control tread change with jounce and rebound, larger suspension deflections. It also has better resistance to steering vibrations. 1.1 Objective The objective of this research is design and analysis of independent rear suspension for an all-terrain vehicle (quad bike). In rough terrains suspension plays vital role in ride comfort, load transfers and to some extent in safety too. The suspension was designed keeping all the vehicle performance requirements in these kind of terrains. Three link type of suspension was selected because of its added advantage to rolling stiffness and comparativelylow weight. 1.2 Terminology  Degree of freedom: The assemblage of control arms in suspension system is to control the motion of the wheel in only one path i.e. bumps and droop. That path may also have camber change, castor change and toe change as the wheel moves. So the design of suspension system includes restraining the knuckle to limited motion in five directions.  Instant center of rotation: It is the point about which the all the links rotates. As in suspension the link moves up and down relative to the road conditions, instant center of rotation plays a vital role in limiting the camber change, castor change etc.  Instant axis: In three dimensional space instant centers are replaced by instant axis. It is obtained by connecting instant centers in front view and side view of the geometry. It is the axis about which the wheel moves. It doesn’t change with the suspension travel.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 279  Camber gain: It happens with change in the motion of wheel corresponding to bumps or droops. Length of the links, ICR affects the amount by which camber changes. The more the length of the suspension links less will be thecamberchange and vice versa. Similarly, the geometry having ICR at long distance have shorter camber gain as the geometrymoves in arc having larger radius. Length of the arm also affectsscrub of the tire i.e. lateral motion of the tire.  Roll gradient: The stiffness in roll is conveniently expressed in normalized form as degrees of roll per unit lateral acceleration (deg/g). This is called roll gradient. 2. DESIGN OF THREE LINK SUSPENSION 2.1 Iteration The design is based on Instant axis concept. Instant axis was obtained by connecting ICRs in both side view and front view. Various constraints such as chassis, differential, mounting tabs etc. were considered. Iterationsweredoneby changing the position of ICR and the link angles. One with minimum camberchange,wheelbasechangeandtrack width change was finalized. Knuckle pivot points were assumed considering the packaging of the wheel assembly. Iterations were done using CREO 3.0. Fig 1- Front view ICR Fig 2- Side view ICR Fig 3- Top view ICR 2.2 Simulation The suspension simulation was done in LOTUS SHARK. The position of the hard points was imported from the link design in CREO. It gave various dynamic parameters of the suspension system, summary of which is illustrated via images below. Fig 4- Line diagram in LOTUS Chart -1: Camber change with travel
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 280 Chart -2: Toe change with camber Chart -3: track change with travel Table -1: Incremental suspension values Table -2: Incremental suspension values Table -3: Incremental suspension values 2.3 Link analysis on ANSYS 16.0 Pipe Material - AISI 4130, Dimensions – OD=25.4, Thickness=1.6mm Fig 5- Total deformation
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 281 Fig 6- Von misses stress Sr. No Parameters Values Obtained 1 Maximum deformation 7.21mm 2 Equivalent stresses 398Mpa Table -4: Result 2.4 Calculations for Ride rate and Roll rate Front Track width (tf) = 3.5 feet Rear Track width (tr) = 3.33 feet Wheelbase (l) = 3.83 feet Height of C.G from the ground (h) = 1.44 feet Distance between C.G to Roll axis (H) = 0.8 feet Cornering radius (R) = 10 feet Speed of vehicle (V) = 15 Km/h Angle of banking (α) = 0° Weight on front left tire (W1) = 100 lb Weight on front right tire (W2) = 100 lb Weight on rear left tire (W3) = 122.22 lb Weight on rear right tire (W4) = 122.22 lb Total weight on Front tires (Wf) = 200 lb Total weight on rear tires (Wr) = 244.44 lb Total Weight of vehicle (Wt) = 444.44 lb Calculation for location of C.G Location of C.G from rear axle (b) = (Wf * l)/Wt = (200*3.83)/444.44 = 1.723 feet Location of C.G from front axle (a) = l-b = 3.83-1.723 = 2.107 feet Lateral acceleration = V2/Rg =192.51/ (10*32.2) =0.59 g’s As there is no banking of road Effective weight (W’) = Total weight (Wt) Therefore, Effective weight on front side= Total weight on front side (Wf’) = (Wf) = 200 lb Effective weight on rear side= Total weight on rear side (Wr’) = (Wr) = 244.44 lb Weight transfer due to lateral acceleration Assume the vehicle is taking right turn Weight transfer on front axle = (lateral acceleration *height of C.G.* front axle load)/front track width = 0.59*1.44*200/3.5 = 49.19 lb WFO= 100+49.49 = 149.49 lb WFI= 100-49.49 = 50.51 lb Weight transfer on rear axle =(lateral acceleration*heightof C.G.* front axle load)/ rear track width = 0.59*1.44*244.44/3.33 = 62.36 lb WRO = 122.22+62.36 = 184.58 lb WRI= 122.22-62.36 = 59.86 lb
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 01 | Jan-2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 6.171 | ISO 9001:2008 Certified Journal | Page 282 Change from the static level measured on the ground WFO = 149.49-100=49.49 lb WFI = 50.51-100 = -49.49 lb WRO = 184.59-122.22= 62.36 lb WRI = 59.86-122.22= -62.36 lb Assume 3.5 inches of jounce travel and use 2.5 inches to accommodate weight increase allowing 1 inchforadditional travel due to braking, accelerationandlocalizedbump on the track. Ride rates Ride rate front (KRF) = 49.49/2.5 = 19.79 lb/inch Ride rate rear (KRR) = 62.36/2.5 = 24.94 lb/inch Ride frequencies assuming side to side geometry ωF = 1/2π (KRF * 12 *32.2/W1) =1/2π (19.79 * 12 *32.2/100) = 1.39 Hz or 83.88 cpm ωR = 1/2π (KRR * 12 *32.2/W3) = 1/2π (24.94 * 12 *32.2/122.22) = 1.41 Hz or 84.79 cpm Most rear drive vehicle, the front natural frequencyishigher than rear, based on front roll stiffness requirements. At this point, ωR cannot be less than 84.79 cpm withoutusingupthe 2.5 inch of bump travel. This cannot be decreased, thus ωF will be increased to 115 cpm. To increase ωF square the ratio of natural frequencies. ωFnew / ωFold = ( 115/88.88)2 = 1.87 Therefore new front ride rate is = 19.79*1.87 = 37.19 lb/inch Assuming left and right ride rates are same Therefore roll rates, KΦF =12*KRF* tf 2 /2 = 2733.46 lb-ft/rad. KΦR = 12* KRR* tR 2 /2 = 1659.34 lb-ft/rad. Roll gradient = Φ/lateral acceleration= -W*H/ (KΦF + KΦR ) = -444.44*0.8/(2733.46+1659.34) = - 0.08 rad/g or -4.63 deg/g. 3. VEHICLE PHOTOS Fig 7- Three link suspension on quad bike Fig 8- Vehicle during cornering 4. CONCLUSION After numerous iterations on link design, we were able to formulate and implement a three link suspension for a quad bike. Suspension had a little more camber gain compared to double wishbone but it successfullyfulfilledtherequirement of less vehicle roll. As an all-terrain vehicle it had sufficient wheel travel with more vehicle stability and durability. REFERENCES [1] William F. Milliken and Douglas L. Milliken, “Race Car Vehicle Dynamics”; ISBN 1-56091-526-9. [2] Carroll Smith, “Tune to Win”. [3] Thomas D Gillespie, “Fundamentals Of Vehicle Dynamics”. [4] V B Bhandari, “Design Of Machine Elements”.