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Active control of nonlinear vibration of sandwich piezoelectric beams: A simplified approach

机译:主动控制夹层压电梁的非线性振动:一种简化方法

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摘要

Nonlinear vibrations of piezoelectric/elastic/piezoelectric sandwich beams submitted to active control are studied in this paper. The proportional and derivative potential feedback controls via sensor and actuator layers are used. Harmonic balance method and the Galerkin procedure are adopted. A complex amplitude equation governed by two complex parameters is derived accounting for the geometric nonlinearity and piezoelectric effects. The nonlinear frequency and loss-factor amplitude relationships with respect to the gain parameters are obtained. The feedback effects are analyzed for small and large vibration amplitudes of sandwich beams. The frequency response curves are presented and discussed for various gain parameters.
机译:研究了主动控制的压电/弹性/压电夹层梁的非线性振动。使用通过传感器和执行器层的比例和微分电位反馈控制。采用谐波平衡法和Galerkin程序。推导了由两个复数参数控制的复数振幅方程,说明了几何非线性和压电效应。获得了与增益参数有关的非线性频率和损耗因子幅度关系。分析了夹层梁大小振动幅度的反馈效应。给出并讨论了各种增益参数的频率响应曲线。

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