A pump of mass 30 kg is supported on a support structure which has 4 springs arranged in parallel with stiffness values of 10 kN/m, 15 kN/m, 8 kN/m and 12 kN/m respectively. Viscous damping is present within the system and 1 kNs/m is applied by a damper.

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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.