For forced vibration isolation to be effective (transmissibility TR < 1), the frequency ratio r = p/omega_n must satisfy:

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Mechanical Engineering QUESTION #2452

Question 1

For forced vibration isolation to be effective (transmissibility TR < 1), the frequency ratio \(r = p/\omega_n\) must satisfy:

\(r < 1\)
\(r = 1\)
\(r > \sqrt{2}\)✔️
\(r > 2\)

Correct Answer Explanation

Isolation requires TR < 1, which occurs when \(r=p/\omega_n>\sqrt{2}\). This means the machine operating speed \(p\) must exceed \(\sqrt{2}\) times the mounted natural frequency \(\omega_n\).

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