Modeling of a hybrid passive damping system

The modeling of a hybrid passive damping system is presented for suppressing the multiple vibration modes of beams in this paper. This hybrid passive damping system consists of a constrained layer damping and a resonant shunt circuit. In a passive mechanical constrained layer damping, a viscoelastic layer, which is sandwiched between a host structure and a cover layer, is used to suppress vibration amplitudes in the high frequency range. A passive electrical damping is designed for targeting the vibration amplitude in the low frequency range. The governing equations of motion of the hybrid passive damping system are derived through the Hamilton's principle. The obtained mathematical model is validated experimentally. The theoretical and experimental techniques presented provide an invaluable tool in controlling the multiple vibration modes across a wide frequency band.

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