Show that the real component of the harmonic response of a viscously damped single-degreeof-freedom system (from (X)

Question:

Show that the real component of the harmonic response of a viscously damped single-degreeof-freedom system (from \(X\) in Eq. (3.54)) attains a maximum at

\[R_{1}=\frac{\omega_{1}}{\omega_{n}}=\sqrt{1-2 \zeta}\]

and a minimum at

\[R_{2}=\frac{\omega_{2}}{\omega_{n}}=\sqrt{1+2 \zeta}\]

Equation 3.54:-

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 08:01 AM

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Show that the real component of the harmonic response of a viscously damped single-degreeof-freedom system (from (X)

Question:

|H(iw)| == kX Fo == 1 [(12)2 + (23r) 211/2 (3.55)

Step by Step Answer:

Mechanical Vibrations

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