Find a single equivalent damping constant for the following cases: a) When three dampers are parallel. b) When three dampers are in series. c) When three dampers are connected to a rigid bar in the figure and the equivalent damper is at site c1.

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Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.