The equation of motion of a spring-mass-damper system is given by [m ddot{x} pm mu N+c dot{x}^{3}+k

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The equation of motion of a spring-mass-damper system is given by

\[m \ddot{x} \pm \mu N+c \dot{x}^{3}+k x=F_{0} \cos \omega t\]

Derive expressions for

(a) the equivalent viscous-damping constant,

(b) the steady-state amplitude, and

(c) the amplitude ratio at resonance.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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