The dynamic magnification factor (DMF) \(A_1\) for a damped forced vibration system is:

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Mechanical Engineering QUESTION #2443

Question 1

\(A_1 = \frac{1}{\sqrt{\left[1-\left(\frac{p}{\omega_n}\right)^2\right]^2 + \left[2\zeta\frac{p}{\omega_n}\right]^2}}\)✔️
\(A_1 = \frac{1}{1-(p/\omega_n)^2}\)
\(A_1 = \frac{2\zeta p/\omega_n}{1-(p/\omega_n)^2}\)
\(A_1 = \left(1+\frac{p}{\omega_n}\right)^{-1}\)

Correct Answer Explanation

The DMF for a damped forced vibration: \(A_1=\frac{1}{\sqrt{[1-(p/\omega_n)^2]^2+[2\zeta(p/\omega_n)]^2}}\).