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[SOLVED] Natural Frequency vs Damped Frequency

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BahmanFarzi

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In Mechanical Engineering the natural frequency is defined as the frequency at which a system oscillates when not subjected to a continuous or repeated external force. This frequency can be calculated simply by the following relationship: wn=sqrt(k/m) where k is the stiffness and m is the mass of the system.
The damped frequency or ringing frequency is the the frequency at which a DAMPED system oscillates when not subjected to a continuous or repeated external force. Damped frequency is lower than natural frequency and is calculated using the following relationship: wd=wn*sqrt(1-z) where z is the damping ratio and is defined as the ratio of the system damping to the critical damping coefficient, z=C/Cc where Cc, the critical damping coefficient, is defined as: Cc=2*sqrt(km).
 

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