In the present paper, viscously damped free vibrations of sectorial and annular sectorial membranes are investigated. Instead of undamped natural frequencies which are typically computed and applied in the free vibrations, viscously damped natural frequencies are done. The viscously damped natural frequency equation and the critical viscous damping equation are exactly derived. In the viscously damped free vibration, effects of viscous damping on natural frequencies are also studied.
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