DYNAMICS AND CONTROL OF NON-LINEAR CIRCULAR PLATES WITH PIEZOELECTRIC ACTUATORS
DYNAMICS AND CONTROL OF NON-LINEAR CIRCULAR PLATES WITH PIEZOELECTRIC ACTUATORS
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DOI：
10.1006/jsvi.1995.0586
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发表时间：
1995-11
影响因子：
4.7
通讯作者：
H. Tzou;Youhe Zhou
中科院分区：
文献类型：
--
作者：
H. Tzou;Youhe Zhou
摘要近年来，压电层合连续体的线性动力学和分布控制问题得到了广泛的研究。本文研究了具有初始非线性大变形的压电层合圆板的动力学、机电耦合和控制问题。假设横向非线性分量比其他两个面内分量--冯卡门型几何非线性变形更为突出。此外，压电层均匀分布在圆板的顶面和底面上。因此，控制效果通过圆周上的等效控制力矩来引入。包括弹性和压电耦合的动力学方程和边界条件制定，并推导出解决方案。控制板的非线性挠度和自然频率使用高控制电压进行了研究，并评估其非线性效应。
Abstract Linear dynamics and distributed control of piezoelectric laminated continua have been intensively studied in recent years. In this paper, dynamics, electromechanical couplings, and control of piezoelectric laminated circular plates with an initial non-linear large deformation are investigated. It is assumed that the transverse non-linear components is much more prominent than the other two in-plane components—the von Karman type geometrical non-linear deformation. In addition, the piezoelectric layers are uniformly distributed on the top and bottom surfaces of the circular plate. Accordingly, the control effect is introduced via an equivalent control moment on the circumference. Dynamic equations and boundary conditions including elastic and piezoelectric couplings are formulated, and solutions are derived. Control of the plate's non-linear deflections and natural frequencies using high control voltages are studied, and their non-linear effects are evaluated.