Derive Equation 2.37, [ begin{aligned} x(t) & =frac{v_{0}}{omega_{n}} sin omega_{n} t+x_{0} cos omega_{n} t & +frac{x_{s

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Derive Equation 2.37,

\[ \begin{aligned} x(t) & =\frac{v_{0}}{\omega_{n}} \sin \omega_{n} t+x_{0} \cos \omega_{n} t \\ & +\frac{x_{s t}}{1-\left(\omega / \omega_{n}\right)^{2}}\left[\cos \omega t-\cos \omega_{n} t\right] \end{aligned} \]

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Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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Question Posted: May 06, 2024 04:00 AM

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Derive Equation 2.37, [ begin{aligned} x(t) & =frac{v_{0}}{omega_{n}} sin omega_{n} t+x_{0} cos omega_{n} t & +frac{x_{s

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Mechanical Vibration Analysis, Uncertainties, And Control

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