suspension or You are requested to design an aut shock absorber system. In order to simplify the problem to one dimensional multiple mass-spring-damper system, a quarter vehicle model is used. The system parameters and free-body diagram of such system is shown below. M₁: Automobile body mass M₂: Wheel and suspension mass K₁: Spring constant of suspension system K₂: Spring constant of wheel and tire B: Damping constant of shock absorber = 2500 kg = 320 kg = 80,000 N/m = 500,000 N/m = 350 N-s/m Automobile- Suspension system Wheel- M₁₂ M₂ Rn Ka x₁(1) x₂(1) Tire

suspension or You are requested to design an aut shock absorber system. In order to simplify the problem to one dimensional multiple mass-spring-damper system, a quarter vehicle model is used. The system parameters and free-body diagram of such system is shown below. M₁: Automobile body mass M₂: Wheel and suspension mass K₁: Spring constant of suspension system K₂: Spring constant of wheel and tire B: Damping constant of shock absorber = 2500 kg = 320 kg = 80,000 N/m = 500,000 N/m = 350 N-s/m Automobile- Suspension system Wheel- M₁₂ M₂ Rn Ka x₁(1) x₂(1) Tire

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

You are requested to design an automotive suspension or
shock absorber system. In order to simplify the problem to one
dimensional multiple mass-spring-damper system, a quarter vehicle
model is used. The system parameters and free-body diagram of such
system is shown below.
M₁: Automobile body mass
M₂: Wheel and suspension mass
K₁: Spring constant of suspension system
K2: Spring constant of wheel and tire
B: Damping constant of shock absorber
(a) Obtain the transfer function of
X₁ (s)
F(s)
T₁(s) =
= 2500 kg
= 320 kg
and T₂(s) =
= 80,000 N/m
= 500,000 N/m
= 350 N-s/m
Automobile-
Suspension
system
Wheel-
M₁
M₂
X₁ (s) - X₂ (S)
F(s)
in terms of the parameters of mass, damper and elastance (M, B and K).
(b) Express the T₁ (s) and T₂ (s) with numerical values.
c) Plot the x₁ (t) and x₁ (t) = x₂(t) outputs of this passive suspension system for the input torque
f(t) = 2,000 N.
fit) K₂
x₂(t)
-Tire

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