Paper
1 May 1996 Nonlinear piezoelectric vibration absorbers
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Abstract
The effect of quadratic nonlinear electrical shunts on the performance of piezoelectric vibration absorbers is presented. The equations of motion are derived in a format suitable for perturbation analysis. An electrical shunt containing cubic and quadratic elements is coupled to the structure via the piezoelectric effect. Nonlinearities are introduced as a combination of the square and/or cube of the charge flowing in the linear inductive-resistive (LR) shunt. Tuning the shunt near a structural mode causes mechanical energy to be transformed to electrical energy and dissipated by the resistive element in the shunt in a manner analogous to a damped vibration absorber. Analysis is carried out using the method of multiple scales. Simulation results are also presented.
© (1996) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Gregory S. Agnes and Daniel J. Inman "Nonlinear piezoelectric vibration absorbers", Proc. SPIE 2720, Smart Structures and Materials 1996: Passive Damping and Isolation, (1 May 1996); https://doi.org/10.1117/12.239092
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Cited by 1 scholarly publication.
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KEYWORDS
Analytical research

Chemical elements

Electrodes

Capacitance

Complex systems

Feedback control

Numerical simulations

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