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基于非线性的压电层合板弯曲
引用本文:于月民.基于非线性的压电层合板弯曲[J].黑龙江科技学院学报,2005,15(6):364-367.
作者姓名:于月民
作者单位:黑龙江科技学院,数力系,哈尔滨,150027;哈尔滨工业大学,复合材料与结构研究所,哈尔滨,150001
摘    要:考虑几何非线性和非线性压电效应,研究了压电材料作为变形驱动器的压电层合板的弯曲,建立了基于非线性的压电层合板的广义本构方程.利用Ritz法得到悬臂压电层合板的弯曲变形与作用电场间的非线性关系.计算分析表明:在强电场的作用下变形会迅速偏离线性结果,此时必须考虑非线性压电效应,而线性分析只适合于低电场的情况.

关 键 词:压电层合板  非线性  广义本构方程
文章编号:1671-0118(2005)06-0364-04
收稿时间:2005-10-31
修稿时间:2005-10-31

Bending of composite materials cantilever piezoelectric laminated plates based on nonlinearity
YU Yuemin.Bending of composite materials cantilever piezoelectric laminated plates based on nonlinearity[J].Journal of Heilongjiang Institute of Science and Technology,2005,15(6):364-367.
Authors:YU Yuemin
Abstract:Bending of hybird smart structure with piezoelectric material as actuator is considered in the case of the nonlinearity of piezoelectric material and geometry,the paper builds the general constitutive equations of piezoelectric laminated plates. Nonlinear relation of bending deformation and field of electricity is obtained by the method of Ritz. The calculation and analysis lead us to know that there arises the necessity of considering the nonlinearity of piezoelectric material because of the deformations swift departures linear result under strong field of electricity and linear analysis can be used under low field of electricity.
Keywords:piezoelectric laminated plates  nonlinearity  general constitutive equations
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