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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 a system is shown below. Automobile Suspension system : 2500 kg : 320 kg M1: Automobile body mass My: Wheel and suspension mass Kị: Spring constant of suspension system : 80,000 N/m K;: Spring constant of wheel and tire B: Damping constant of shock absorber : 350 N.s/m Wheel : 500,000 N/m Tir (a) Obtain the transfer function of T;(s) = and T2() = *,6)-X,C«) F(s) F(s) in terms of the parameters of mass, damper and elastance (M, B and K). (b) Express the T; (s) and T2(s) with numerical values.

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 a system is shown below. Automobile Suspension system : 2500 kg : 320 kg M1: Automobile body mass My: Wheel and suspension mass Kị: Spring constant of suspension system : 80,000 N/m K;: Spring constant of wheel and tire B: Damping constant of shock absorber : 350 N.s/m Wheel : 500,000 N/m Tir (a) Obtain the transfer function of T;(s) = and T2() = *,6)-X,C«) F(s) F(s) in terms of the parameters of mass, damper and elastance (M, B and K). (b) Express the T; (s) and T2(s) with numerical values.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Electrical Engineering Major.

Course:

EE350 ( System Dynamics and control ).

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 a system is shown below. Automobile M, Suspension system Mi: Automobile body mass My: Wheel and suspension mass K: Spring constant of suspension system : 80,000 N/m : 2500 kg : 320 kg Wheel K;: Spring constant of wheel and tire B: Damping constant of shock absorber : 350 N.s/m : 500,000 N/m - Tire (a) Obtain the transfer function of T;(s) = and T2(s) = X,(9)-X;(s) F(s) %3D F(s) in terms of the parameters of mass, damper and elastance (M, B and K). (b) Express the T,(s) and T2(s) with numerical values. (c) Plot the x,(t) and x,(t) – x2(t) outputs of this passive suspension system for the input torque of f(t) = 2,000 N
Transcribed Image Text: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 a system is shown below. Automobile M, Suspension system Mi: Automobile body mass My: Wheel and suspension mass K: Spring constant of suspension system : 80,000 N/m : 2500 kg : 320 kg Wheel K;: Spring constant of wheel and tire B: Damping constant of shock absorber : 350 N.s/m : 500,000 N/m - Tire (a) Obtain the transfer function of T;(s) = and T2(s) = X,(9)-X;(s) F(s) %3D F(s) in terms of the parameters of mass, damper and elastance (M, B and K). (b) Express the T,(s) and T2(s) with numerical values. (c) Plot the x,(t) and x,(t) – x2(t) outputs of this passive suspension system for the input torque of f(t) = 2,000 N
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