Broadband vibration control using passive circuits in the matrix-second order framework

In this research, a broadband variable passive and semi- active circuit is presented. The detailed procedure to obtain the augmented second order differential equations of motion for an electrical dynamic absorber (shunted circuit) using integrated piezoelectric material are given using Hamilton's principle and the finite element modeling procedure. The effect of the electrical dynamic absorber is shown through frequency response and analysis by varying the capacitance and inductance in the shunted circuit. Modal identification and gain scheduling techniques are also employed to identify each mode of the vibration of the structure. Simulations are implemented using a cantilevered aluminum beam with a PZT-5H (lead zirconate titanate) patch. The simulated results are provided in multiple formats.

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