1. This document describes the modeling of a quarter-car suspension system using Simulink to analyze the system's response. 2. Key parameters of the suspension system are provided, including spring and damping constants for the suspension and tire. 3. The Simulink model sums the forces on the body and suspension masses based on Newton's laws, and integrates the accelerations to obtain velocities and positions over time.

1. Translational Mechanical Suspension: Response of Quarter-Car(1/4)
Suspension Using Simulink Modeling
Presented By:
Ishak Mohammad Tanjinul Haque-12108049
Ahashan Ahmed-12108071
Sadi Al Mamun-12108078
MD. Mustakim ArIfin-12108083

2.  Introduction
 Suspension Types
 Design requirements
 Physical setup
 System parameters
 Basic Simulink Blocks to do this Design
 Working Procedure
 Simulink Model Figure
 Open-loop response
 Applications
 Advantages
 Disadvantages
 Conclusion
 References

3. Automotive Suspension is the system of tires, tire air, springs, shock
absorbers and linkages that connects a vehicle to its wheels and allows relative
motion between the two.
Suspension systems serve a dual purpose —
 Contributing to the vehicle's road holding/handling and braking for good active
safety and driving pleasure.
 Keeping vehicle occupants comfortable and a ride quality reasonably well isolated
from road noise, bumps, and vibrations etc.

6.  A good automotive suspension system
should have satisfactory road holding
ability.
 It should provide comfort when riding over
bumps and holes in the road.
 When the vehicle is experiencing any road
disturbance (i.e. pot holes, cracks, and
uneven pavement),the vehicle body should
not have large oscillations, and the
oscillations should dissipate quickly.

7.  Designing an automotive suspension system is an interesting and
challenging control problem. When the suspension system is designed, a
1/4 model (one of the four wheels) is used to simplify the problem to a 1D
multiple spring-damper system. A diagram of this system is shown below.

8.  (m1) body mass =2500 kg
 (m2) suspension mass= 320 kg
 (k1) spring constant of suspension system = 80,000 N/m
 (k2) spring constant of wheel and tire =500,000 N/m
 (b1) damping constant of suspension system =350 N.s/m
 (b2) damping constant of wheel and tire=15,020 N.s/m
 (u) control force = force from the controller we are going to
design.

9.  The following design blocks are needed for our simulink design of
suspension.

10.  This system is modeled by summing the forces acting on both masses
(body and suspension) and integrating the accelerations of each mass
twice to given velocities and positions. Newton's law is applied to each
mass.
 1)
 2)
Newton's law for each of these masses can be expressed as:
3)
 4)

13. 1. We can easily and efficiently define the
response of a ¼ suspension system.
2. For building any costly car, this process is usually
done.Because,this is needed to verify the the
response for a translational mechanical system for
spring and damper for this Control System analysis.

14.  1. This design process is efficient.
 2. Easily found response.
Disadvantages
 1. Very much time consuming process.

15.  It is important for the suspension to keep the road wheel in
contact with the road surface as much as possible, because all
the road or ground forces acting on the vehicle do so through
the contact patches of the tires. The suspension also protects
the vehicle itself and any cargo or luggage from damage and
wear. The design of front and rear suspension of a car may be
different.
 Suspension system is a very important part of designing a
vehicle.We can verify the the response of a suspension system
by Control System Analysis using Simulink modeling.

16.  1.www.wikipedia.com
 2.www.google.com
 3.www.solarnet.com
 4.www.mathworks.com

17. THANK
YOU