A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes place when the time period T of the output response is 0.20 s. Determine the following: (i) The natural frequency, Wn (ii) The equivalent stiffness of the foundation (iii) The approx. damping ratio { of the foundation among the range of damping ratio, i.e. 0<

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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Subject: mom and vibrations
A dynamical structure having mass 20 kg is installed on the elastic foundation.
This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of
its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes
place when the time period T of the output response is 0.20 s.
Determine the following:
(i) The natural frequency, wn
(ii) The equivalent stiffness of the foundation
(iii) The approx. damping ratio § of the foundation among the range of damping ratio, i.e. 0 <
Transcribed Image Text:A dynamical structure having mass 20 kg is installed on the elastic foundation. This structure could be excited by a sinusoidal force of 20 N. From the frequency waveform of its output response, it is observed that the maximum steady-state amplitude X of 0.0012 m takes place when the time period T of the output response is 0.20 s. Determine the following: (i) The natural frequency, wn (ii) The equivalent stiffness of the foundation (iii) The approx. damping ratio § of the foundation among the range of damping ratio, i.e. 0 <
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