A simplified SDOF model of a vehicle suspension system is shown in below Figure.The mass of the vehicle is 500 kg. The suspension spring has a stiffness of100,000 N/m. The wheel is modeled as a spring placed in series with thesuspension spring. When the vehicle is empty, its static deflection is measured as5 cm.(a) Determine the equivalent stiffness of the wheel(b) Determine the equivalent stiffness of the spring combination.(c) Determine the natural frequency fn of the systemkskwmwwSuspensionspringWheelI stiffness

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Answered: (a) Determine the equivalent stiffness…

(a) Determine the equivalent stiffness of the wheel (b) Determine the equivalent stiffness of the spring combination. (c) Determine the natural frequency fn of the system

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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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,

Question

A simplified SDOF model of a vehicle suspension system is shown in below Figure.
The mass of the vehicle is 500 kg. The suspension spring has a stiffness of
100,000 N/m. The wheel is modeled as a spring placed in series with the
suspension spring. When the vehicle is empty, its static deflection is measured as
5 cm.
(a) Determine the equivalent stiffness of the wheel
(b) Determine the equivalent stiffness of the spring combination.
(c) Determine the natural frequency fn of the system
ks
kw
m
ww
Suspension
spring
Wheel
I stiffness

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Step 1: Draw the free body diagram for given mass under static deflection condition.

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Step 2: Determine the equivalent stiffness of the spring combination.

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Step 3: Determine the equivalent stiffness of the wheel.

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Step 4: Determine the natural frequency of the system.

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