For a viscously damped free vibration, derive equation of motion and then determine the solution of differential equation of motion. Explain the solution for underdamped system with the help of plot.
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Definition
Free vibration (no external force) of a single degree-of-freedom system with viscous damping can be illustrated as,
Damping that produces a damping force proportional to the mass's velocity is commonly referred to as "viscous damping", and is denoted graphically by a dashpot.
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