When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of 91.7 rad/s. When a 60-kg machine is placed on the same foundation, the frequency of the exponentially decaying oscillations is 75.5 rad/s. Determine the equivalent stiffness and equivalent viscous damping coefficient for the foundation.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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When a 40-kg machine is placed on an elastic foundation, its free vibrations
appear to decay exponentially with a frequency of 91.7 rad/s. When a 60-kg
machine is placed on the same foundation, the frequency of the exponentially
decaying oscillations is 75.5 rad/s. Determine the equivalent stiffness and
equivalent viscous damping coefficient for the foundation.
3.34
Transcribed Image Text:When a 40-kg machine is placed on an elastic foundation, its free vibrations appear to decay exponentially with a frequency of 91.7 rad/s. When a 60-kg machine is placed on the same foundation, the frequency of the exponentially decaying oscillations is 75.5 rad/s. Determine the equivalent stiffness and equivalent viscous damping coefficient for the foundation. 3.34
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