Show that the convolution integral, Eq. (4.31), can also be expressed in terms of the response to

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Show that the convolution integral, Eq. (4.31), can also be expressed in terms of the response to a unit step function $h(t)$ as

\[x(t)=F(0) h(t)+\int_{0}^{t} \frac{d F(\tau)}{d \tau} h(t-\tau) d \tau\]

Equation 4.31:-

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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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Show that the convolution integral, Eq. (4.31), can also be expressed in terms of the response to

Question:

F(T)e (-) sin wd (t - T) dr (4.31) x(t) == mwd F(T

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Mechanical Vibrations

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