| 压电圆浅球壳非线性微分求积单元法分析(英文) |
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| 引用本文： | 王永亮,王鑫伟.压电圆浅球壳非线性微分求积单元法分析(英文)[J].南京航空航天大学学报(英文版),2001,18(2). |
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| 作者姓名： | 王永亮 王鑫伟 |
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| 作者单位： | 南京航空航天大学航空宇航学院, |
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| 基金项目： | 航空科学基金和江苏省自然科学基金资助项目~~ |
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| 摘 要： | 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。
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| 关 键 词： | 微分求积单元法 非线性 压电 圆浅球壳 |
ANALYSIS OF NONLINEAR PIEZOELECTRIC CIRCULAR SHALLOW SPHERICAL SHELLS BY DIFFERENTIAL QUADRATURE ELEMENT METHOD |
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| Wang Yongliang,Wang Xinwei.ANALYSIS OF NONLINEAR PIEZOELECTRIC CIRCULAR SHALLOW SPHERICAL SHELLS BY DIFFERENTIAL QUADRATURE ELEMENT METHOD[J].Transactions of Nanjing University of Aeronautics & Astronautics,2001,18(2). |
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| Authors: | Wang Yongliang Wang Xinwei |
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| Institution: | Wang Yongliang Wang Xinwei College of Aerospace Engineering,NUAA29 Yudao Street,Nanjing 210016,P.R.China |
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| Abstract: | 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. |
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| Keywords: | differential quadrature element method non linearity piezoelectricity circular shallow spherical shell |
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