线性变厚度压电层合矩形板的非线性弯曲  

Nonlinear bending of laminated piezoelectric rectangular plates with linearly varying thickness

作　　者：郑玉芳[1] 王锋[1] 陈昌萍[2] 

机构地区：[1]福州大学土木工程学院,福建福州350116 [2]厦门理工学院土木工程与建筑学院,福建厦门361024

出　　处：《福州大学学报（自然科学版）》2013年第5期887-891,共5页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11272270);福建省自然科学基金资助项目(2012J01009)

摘　　要：研究在横向载荷作用下线性变厚度正交对称铺设压电层合矩形板的非线性弯曲问题.基于Von Karman非线性板理论和线性压电理论,建立线性变厚度正交对称铺设压电层合矩形板的无量纲非线性平衡微分方程,且应用Galerkin截断方法进行求解.算例中,具体讨论了不同坡度、边长比、控制电压和压电层位置对四边简支正交对称铺设压电层合矩形板的非线性载荷-挠度特征曲线的影响.The nonlinear bending of symmetric cross -ply laminated piezoelectric rectangular plates with linearly varying thickness under the action of transverse load is investigated. On the basis of the Von Karman theory and linear piezoelectric theory, the dimensionless nonlinear equilibrium differential equations for the symmetric cross -ply laminated piezoelectric： rectangular plates with linearly varying thickness are established and solved by the Galerkin truncation method. In the numerical results, the influences of different taper constant, aspect ratio, applied voltage and various locations of piezoelec- tric layers on the nonlinear load - deflection characteristic curves of the simply supported symmetric cross -ply laminated piezoelectric rectangular plates are discussed.

关 键 词：线性变厚度 压电层合板 非线性弯曲 Galerkin截断 

分 类 号：TU311.1[建筑科学—结构工程]