Find the response of a damped single-degree-of-freedom system with the equation of motion [m ddot{x}+c dot{x}+k x=F(t)]

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Find the response of a damped single-degree-of-freedom system with the equation of motion

\[m \ddot{x}+c \dot{x}+k x=F(t)\]

using the numerical method of Section 4.9. Assume that $m=500 \mathrm{~kg}, c=200 \mathrm{~N}-\mathrm{s} / \mathrm{m}, k=$ $750 \mathrm{~N} / \mathrm{m}$, and the values of the forcing function $F(t)$ at discrete times are as indicated below:

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: Apr 30, 2024 07:58 AM

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Find the response of a damped single-degree-of-freedom system with the equation of motion [m ddot{x}+c dot{x}+k x=F(t)]

Question:

t 0 1 2 3 4 10 5 6 7 8 9 10 F(t) 0 1000 1732 2000 1732 1000 0000 0

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Mechanical Vibrations

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