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Solution

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The natural frequency of the original system is 15.9 Hz = 100 rad/s. Then, the stiffness k1 = m1(ω)2 = 45.5(100)2 = 455 000 N/m. Now, the operating frequency of the motor is 764/60 = 12.7 Hz = 80 rad/s, so the absorber should have the natural frequency 80 rad/s. Then, the total stiffness of the absorber is



Figure 2.14 Forced response spectra of a damped two‐degree of freedom system.


Figure 2.15 Undamped dynamic vibration absorber defined in Example 2.9.

Engineering Acoustics

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