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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1420
Selection & Design Procedure of Steering System of Formula Student
(FSAE) Car
Kishor C. Budhale1, Prathmesh Mahesh Daphale 2, Souarabh Ravsaheb Chougule 3,
Hari Ananda patil 4, Ashitosh Anil Mali 5
1Asst. Professor, Dept. of Mechanical Engineering, D.Y. Patil College of Engg. & Tech., Kolhapur
Abstract – The main objective of this paper is to give
detailed review of Formula Student Vehicles steering
mechanism. Realistic approach of geometry selection for
steering mechanism is followedby designing withthehelp of
Solid Works 2017. The steering ratio, turning radius,
steering efforts, front wheels turning angles and Ackermann
percentage are optimized in Lotus Shark and ADDAMS. The
goal of designing and optimizing the steering mechanism is
to provide good directional stability and full control overthe
vehicle even on the sharp hair pin turns. All thedesignobeys
the rules stated by the FSAE rulebook and FORMULA
BHARAT rulebook 2019.
Key Words: Ackermann steering, Steering ratio, C-factor,
Rack position
1. INTRODUCTION
The steering system of formula SAE car is one of the
important task. As the steering help the driver to control
vehicle however he wants. The steering provides good
stability to vehicle on road. It is combine effect of the all
linkages by efforts gives by driver to wheels which resultsto
high speed on the track.
So as to design and manufacture the steering system for
Formula SAE vehicle as per therule book ofSUPRASAEIndia
2018and Formula Bharat 2019. The steering provide pure
rolling motion to wheel and fulfil the requirements of
steering to take the sharp turn on the track.
2. STEERING GEAR MECHANISM
2.1 Davis Steering Gear Mechanism
In Davis steering there are sliding guides attached torack
setup and these guides slideontherodsextendedfromwheel
hub king pin. Davis steering is operated from front side
wheels. This mechanism causes friction between rod and
guides, thus increase steering effort.
2.2 Ackerman Steering Mechanism
In Ackerman steering, the sliding pairs of Davis steering
are replaced by all the turning pairs. Basically the Ackerman
2.3 Anti-Ackerman Steering Gear Mechanism
The Anti-Ackerman steering is similar to Ackerman steering
only difference is that the steering is operated from front
side of the wheels. The steering provides more slip angles
and help to take sharp turn.
3. SELECTION OF STEERING MECHANISM
3.1 Davis or Anti-Ackerman steering system would
difficult to steer at lower speed. By using Ackerman
Steering mechanism, it helps to reduce the weight of
the steering column and provides good directional
stability. So, the Ackerman steering mechanism si
selected.
4. STEERING GEOMETRY PARAMETER
As per FSAE Rule book wheelbase should be minimum
1525mm, & other following required parameters select by
the FSAE guidelines.
2,3,4,5Student, Dept. of Mechanical Engineering, D.Y. Patil College of Engg. & Tech., Kolhapur
---------------------------------------------------------------------***----------------------------------------------------------------------
steering mechanism reduces the friction and also reduces
the steering effort and help to take more sharp turns.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1421
Table -4.1: Steering Data
Front track width
Rear track width
Turning Radius
Inner wheel angle
Outer wheel angle
4.1STEERING RATIO
Steering ratio is the ratio of how much the steering wheel
turns in degrees to turn the wheel by 1 degree
Steering ratio = Turn of steering wheel in degrees
Turn of wheel by 1 degree
Steering ratio depends on many factors like diameter of
pinion, rack travel, steering wheel diameter, moment arm
length etc.
4.2 TURNING RADIUS
By changing the Ackerman setting of car the overall turning
radius of the car can be adjusted. The turning radius of the
vehicle was calculated based on ideal ackermann position to
maximum. The car had wheelbase of 1600mm and the
required turning radius up to 3.7m which is reasonable for
expected hair pin turns on the formula auto cross race track.
4.3. C-FACTOR
C-Factor is defined as length in mm travelled by rack for360
degree rotation of pinon.
C-Factor = Rack travel
One pinon rotation
4.4. RACK & PINION DESIGN
Rack & Pinion starts with the first basic step i.e. selection of
the material which leads that improper material selection
which cause failure.
In the design of gears, it is required to decide the number of
teeth on the pinion and gear. There is a limiting value to the
minimum number of teeth on the pinion. While decreasing
the number of teeth, a point is reached when there is
The tangential force on the gear (Pt) interference.
Interference is non-conjugate action and results in
excessive wear, vibrations and jamming. To avoid
interference, minimum number of teeth for 20° full depth
system required is 17. Using Lewis equation, the module is
calculated. It predicted the chances of teeth interference. So,
number of teeth on gear is increased to 21. And then again
designed using Lewis equation and Buckingham equation.
Which is as follows
Factor of Safety (fs)-The recommended factor of safety is
from 1.5 to2
Peff =
Tangential force on Gear:
Beam strength of gear (Sb)
= Module*face width*maximum bending load*Lewis form
factor.
This equation is known as Lewis equation.
Sb = m*b* *Yp
From these steps the gears is designed
M=
4.5. RACK Position:
Rack is mounted behind the front wheel center line as per
the geometrical, ergonomics and driver egress viewpoint.
Rack position is optimized by observing the changes in
steering radius, inner wheel and outer wheel angles as per
the requirements.
Lotus shark software: -the Lotus Suspension Analysis
SHARK module is a suspension geometric and kinematic
modelling tool, with a user- friendlyinterfacewhichmakesit
easy to apply changes to proposed geometry and
instantaneously assess their impact through graphical
results. Lotus shark software gives instantaneous results of
inside angle (in degree) for a particular rack shift.
Rack shift or rack travel per rotation is the horizontal
distance travelled by the rack gear when the pinion gear
completes one rotation.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1422
3. Final Steering System
3. CONCLUSION
Steering system used for student formula race car, different
parameters should be considered like steering parameters,
steering ratio, turning radius, C-factor. Accordingtoall these
parameters, rack position is to be selected to fulfill the all
requirement as overall analysis of Rulebook of FSAE &
Formula Bharat.
ACKNOWLEDGEMENT
The team which have more contributiontothebigprocessto
meet the target for race car. We would like to show our
gratitude over faculty advisor. It is combination of team
spirit & huge support of faculty advisor.
REFERENCES
1) Smith, Carroll, Engineer to Win. MBI Publishing
Company, Minnesota, 1984.Vol. 2
2) Fenton, J. (1980), Vehicle Body LayoutandAnalysis,
Mechanical Engineering Publications Ltd. London.
Paper ID #16351
3) Smith, C. (1978), Tune to Win: The Art and Science
of Race Car Development and Tuning, Aero
Publishers, Inc. 329 West Aviation Road, Fallbrook,
CA 29028 Page no. 60-64
4) Vehicle Dynamics Terminology- SAEJ670, Revise
07-1976. 2017 IJEDR | Volume 5, Issue 3
5) William F. Milliken and Douglas L. Milliken, 1995,
“Race Car Vehicle Dynamics”, SocietyofAutomotive
Engineers, Inc. Page no. 709-728
6) Gillespie, Thomas D., Fundamentals of Vehicle
Dynamics. Society of Automotive Engineers, Inc.,
Pennsylvania, 1992 Page no. 27-30

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IRJET- Selection & Design Procedure of Steering System of Formula Student (FSAE) Car

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1420 Selection & Design Procedure of Steering System of Formula Student (FSAE) Car Kishor C. Budhale1, Prathmesh Mahesh Daphale 2, Souarabh Ravsaheb Chougule 3, Hari Ananda patil 4, Ashitosh Anil Mali 5 1Asst. Professor, Dept. of Mechanical Engineering, D.Y. Patil College of Engg. & Tech., Kolhapur Abstract – The main objective of this paper is to give detailed review of Formula Student Vehicles steering mechanism. Realistic approach of geometry selection for steering mechanism is followedby designing withthehelp of Solid Works 2017. The steering ratio, turning radius, steering efforts, front wheels turning angles and Ackermann percentage are optimized in Lotus Shark and ADDAMS. The goal of designing and optimizing the steering mechanism is to provide good directional stability and full control overthe vehicle even on the sharp hair pin turns. All thedesignobeys the rules stated by the FSAE rulebook and FORMULA BHARAT rulebook 2019. Key Words: Ackermann steering, Steering ratio, C-factor, Rack position 1. INTRODUCTION The steering system of formula SAE car is one of the important task. As the steering help the driver to control vehicle however he wants. The steering provides good stability to vehicle on road. It is combine effect of the all linkages by efforts gives by driver to wheels which resultsto high speed on the track. So as to design and manufacture the steering system for Formula SAE vehicle as per therule book ofSUPRASAEIndia 2018and Formula Bharat 2019. The steering provide pure rolling motion to wheel and fulfil the requirements of steering to take the sharp turn on the track. 2. STEERING GEAR MECHANISM 2.1 Davis Steering Gear Mechanism In Davis steering there are sliding guides attached torack setup and these guides slideontherodsextendedfromwheel hub king pin. Davis steering is operated from front side wheels. This mechanism causes friction between rod and guides, thus increase steering effort. 2.2 Ackerman Steering Mechanism In Ackerman steering, the sliding pairs of Davis steering are replaced by all the turning pairs. Basically the Ackerman 2.3 Anti-Ackerman Steering Gear Mechanism The Anti-Ackerman steering is similar to Ackerman steering only difference is that the steering is operated from front side of the wheels. The steering provides more slip angles and help to take sharp turn. 3. SELECTION OF STEERING MECHANISM 3.1 Davis or Anti-Ackerman steering system would difficult to steer at lower speed. By using Ackerman Steering mechanism, it helps to reduce the weight of the steering column and provides good directional stability. So, the Ackerman steering mechanism si selected. 4. STEERING GEOMETRY PARAMETER As per FSAE Rule book wheelbase should be minimum 1525mm, & other following required parameters select by the FSAE guidelines. 2,3,4,5Student, Dept. of Mechanical Engineering, D.Y. Patil College of Engg. & Tech., Kolhapur ---------------------------------------------------------------------***---------------------------------------------------------------------- steering mechanism reduces the friction and also reduces the steering effort and help to take more sharp turns.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1421 Table -4.1: Steering Data Front track width Rear track width Turning Radius Inner wheel angle Outer wheel angle 4.1STEERING RATIO Steering ratio is the ratio of how much the steering wheel turns in degrees to turn the wheel by 1 degree Steering ratio = Turn of steering wheel in degrees Turn of wheel by 1 degree Steering ratio depends on many factors like diameter of pinion, rack travel, steering wheel diameter, moment arm length etc. 4.2 TURNING RADIUS By changing the Ackerman setting of car the overall turning radius of the car can be adjusted. The turning radius of the vehicle was calculated based on ideal ackermann position to maximum. The car had wheelbase of 1600mm and the required turning radius up to 3.7m which is reasonable for expected hair pin turns on the formula auto cross race track. 4.3. C-FACTOR C-Factor is defined as length in mm travelled by rack for360 degree rotation of pinon. C-Factor = Rack travel One pinon rotation 4.4. RACK & PINION DESIGN Rack & Pinion starts with the first basic step i.e. selection of the material which leads that improper material selection which cause failure. In the design of gears, it is required to decide the number of teeth on the pinion and gear. There is a limiting value to the minimum number of teeth on the pinion. While decreasing the number of teeth, a point is reached when there is The tangential force on the gear (Pt) interference. Interference is non-conjugate action and results in excessive wear, vibrations and jamming. To avoid interference, minimum number of teeth for 20° full depth system required is 17. Using Lewis equation, the module is calculated. It predicted the chances of teeth interference. So, number of teeth on gear is increased to 21. And then again designed using Lewis equation and Buckingham equation. Which is as follows Factor of Safety (fs)-The recommended factor of safety is from 1.5 to2 Peff = Tangential force on Gear: Beam strength of gear (Sb) = Module*face width*maximum bending load*Lewis form factor. This equation is known as Lewis equation. Sb = m*b* *Yp From these steps the gears is designed M= 4.5. RACK Position: Rack is mounted behind the front wheel center line as per the geometrical, ergonomics and driver egress viewpoint. Rack position is optimized by observing the changes in steering radius, inner wheel and outer wheel angles as per the requirements. Lotus shark software: -the Lotus Suspension Analysis SHARK module is a suspension geometric and kinematic modelling tool, with a user- friendlyinterfacewhichmakesit easy to apply changes to proposed geometry and instantaneously assess their impact through graphical results. Lotus shark software gives instantaneous results of inside angle (in degree) for a particular rack shift. Rack shift or rack travel per rotation is the horizontal distance travelled by the rack gear when the pinion gear completes one rotation.
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 04 | Apr 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 1422 3. Final Steering System 3. CONCLUSION Steering system used for student formula race car, different parameters should be considered like steering parameters, steering ratio, turning radius, C-factor. Accordingtoall these parameters, rack position is to be selected to fulfill the all requirement as overall analysis of Rulebook of FSAE & Formula Bharat. ACKNOWLEDGEMENT The team which have more contributiontothebigprocessto meet the target for race car. We would like to show our gratitude over faculty advisor. It is combination of team spirit & huge support of faculty advisor. REFERENCES 1) Smith, Carroll, Engineer to Win. MBI Publishing Company, Minnesota, 1984.Vol. 2 2) Fenton, J. (1980), Vehicle Body LayoutandAnalysis, Mechanical Engineering Publications Ltd. London. Paper ID #16351 3) Smith, C. (1978), Tune to Win: The Art and Science of Race Car Development and Tuning, Aero Publishers, Inc. 329 West Aviation Road, Fallbrook, CA 29028 Page no. 60-64 4) Vehicle Dynamics Terminology- SAEJ670, Revise 07-1976. 2017 IJEDR | Volume 5, Issue 3 5) William F. Milliken and Douglas L. Milliken, 1995, “Race Car Vehicle Dynamics”, SocietyofAutomotive Engineers, Inc. Page no. 709-728 6) Gillespie, Thomas D., Fundamentals of Vehicle Dynamics. Society of Automotive Engineers, Inc., Pennsylvania, 1992 Page no. 27-30