ANALYSIS OF NONLINEAR PIEZOELECTRIC CIRCULAR SHALLOW SPHERICAL SHELLS BY DIFFERENTIAL QUADRATURE ELEMENT METHOD  

压电圆浅球壳非线性微分求积单元法分析(英文)

作　　者：王永亮[1] 王鑫伟[1] 

机构地区：[1]南京航空航天大学航空宇航学院

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2001年第2期130-136,共7页南京航空航天大学学报（英文版）

基　　金：航空科学基金和江苏省自然科学基金资助项目~~

摘　　要：The static behavior of piezoelectric circular spherical shallow shells under both electrical and mechanical loads is studied by using the differential quadrature element method (DQEM). Geometrical nonlinearity effect is considered. Detailed formulations and procedures are given for the first time. Several examples are analyzed and accurate results are obtained by the DQEM. Based on the results in this paper, one may conclude that the DQEM is a useful tool for obtaining solutions of structural elements. It can be seen that the shell shape may be theore tically controlled and snap through may occur when the applied voltage reaches a critical value even without mechanical load for certain geometric configurations.用微分求积单元法分析了压电圆浅球壳在外加电压和外载作用下的非线性静力特性 ,首次给出了详细的公式和求解过程 ,并分析了几个典型算例 ,得到了非常精确的结果。基于本文的研究结果可以得出以下的几点结论 :微分求积单元法是一种有用的数值分析方法 ;压电圆浅球壳的几何形状理论上可以被控制 ;对于某些几何形状的压电圆浅球壳 ,当外加电压达到临界值时 ,即使没有外加载荷跳跃失稳也会发生。

关 键 词：differential quadrature element method non  linearity PIEZOELECTRICITY circular shallow spherical shell 

分 类 号：V214.3[航空宇航科学与技术—航空宇航推进理论与工程]