Problem 2. 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 = 80,000 N/m = 500,000 N/m = 350 N-s/m and T₂(s) = Automobile Suspension system Wheel f(t) M₁ X₁ (s) - X₂ (s) F(s) in terms of the parameters of mass, damper and elastance (M, B and K) E (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 of f(t) = 2,000 N. M₂ x₁(1) x₂(1) Tire

Problem 2. 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 = 80,000 N/m = 500,000 N/m = 350 N-s/m and T₂(s) = Automobile Suspension system Wheel f(t) M₁ X₁ (s) - X₂ (s) F(s) in terms of the parameters of mass, damper and elastance (M, B and K) E (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 of f(t) = 2,000 N. M₂ 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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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

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Problem 2. 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
= 80,000 N/m
= 500,000 N/m
= 350 N-s/m
and T₂(s) =
Automobile
Suspension
system
Wheel
f(t)
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 of
f(t) = 2,000 N.
K₂
x₁ (1)
x₂(1)
Tire

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