| 压电材料的K正则方程及其层合板的显式辛算法 |
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| 引用本文： | 卿光辉,王亚辉,李顶河.压电材料的K正则方程及其层合板的显式辛算法[J].工程力学,2011(4):232-237. |
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| 作者姓名： | 卿光辉 王亚辉 李顶河 |
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| 作者单位： | 中国民航大学航空工程学院; |
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| 基金项目： | 天津市自然科学基金项目(07CYBJC02100) |
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| 摘 要： | 显式辛数值算法有一个重要的特性,即在长时间内保存Hamilton函数的指数幂,用这种方法求解可分的微分方程所得到的解逼近精确解.该文基于压电材料修正后的H-R混合变分原理,首先推导了Hamiltonian四节点有限元列式,然后通过对该列式进行行列变换,得到了K正则方程.最后将显式辛数值算法用于求解压电材料层合板的静力学...
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| 关 键 词： | 压电材料 变分原理 可分型 K正则方程 辛算法 |
SEPARABLE K-CANONICAL EQUATION OF PIEZOELECTRICITY AND EXPLICIT SYMPLECTIC METHOD FOR LAMINATED PLATES |
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| QING Guang-hui,WANG Ya-hui,LI Ding-he.SEPARABLE K-CANONICAL EQUATION OF PIEZOELECTRICITY AND EXPLICIT SYMPLECTIC METHOD FOR LAMINATED PLATES[J].Engineering Mechanics,2011(4):232-237. |
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| Authors: | QING Guang-hui WANG Ya-hui LI Ding-he |
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| Affiliation: | QING Guang-hui,WANG Ya-hui,LI Ding-he(College of Aeronautical Engineering,Civil Aviation University of China,Tianjin 300300,China) |
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| Abstract: | In the application of symplectic numerical methods to Hamiltonian systems,it is important to recognize that a nearby Hamiltonian is approximately conserved for exponentially long times.The numerical result of separable differential equation is very accurate by using the symplectic numerical methods.Based on the modified Hellinger-Reissner(H-R) variational principle of piezoelectricity,Hamiltonian four-node rectangular element matrix was constructed in this paper.Then the separable K-canonical formulation of... |
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| Keywords: | piezoelectric material variational principle separable form K canonical equation symplectic scheme |
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