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.
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fafb12e2b-b9d1-4d32-b830-d27497ed505f%2Feb238395-c7b2-4fa3-a2cb-bc7914985969%2Fnxvi13_processed.png&w=3840&q=75)
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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