| 三维时间-空间混和有限元 |
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| 引用本文： | 朱宝,高强,钟万勰.三维时间-空间混和有限元[J].计算力学学报,2013,30(3):331-335. |
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| 作者姓名： | 朱宝 高强 钟万勰 |
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| 作者单位： | 大连理工大学工业装备结构分析国家重点实验室,运载工程与力学学部工程力学系,大连116023 |
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| 基金项目： | 973计划(2009CB918501)资助项目. |
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| 摘 要： | 基于分析动力学与分析结构力学在数学理论上的一致性,在有限元分析方面,同时对时间、空间坐标离散组成混和的时空有限元网格.然后利用Hamilton变分原理,取一次变分为零,导出三维混和元列式；混和元列式矩阵的对称性,保证了混和有限元保辛的性质.数值例题表明,时-空混和有限元能灵活地处理多尺度波动问题和变动边界问题.
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| 关 键 词： | 分析结构力学 时-空混和有限元 双曲型偏微分方程 |
| 收稿时间： | 2012/3/11 0:00:00 |
| 修稿时间： | 2012/5/11 0:00:00 |
Three dimension harmony elementmethod for time and space domain |
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| ZHU Bao,GAO Qiang and ZHONG Wan-xie.Three dimension harmony elementmethod for time and space domain[J].Chinese Journal of Computational Mechanics,2013,30(3):331-335. |
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| Authors: | ZHU Bao GAO Qiang and ZHONG Wan-xie |
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| Institution: | State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China;State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China |
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| Abstract: | The mathematical theory is the same for analytical dynamic mechanics and analytical structural mechanics.Time and space domain are discrete at the same time for the finite element analysis.Based on the Hamilton variational principle and the variation calculation,the three dimension harmony element method format is given.The matrices of the harmony element method are symmetry,so the harmony element method is symplectic.Numerical results demonstrate the validity of this method for multiscale problems and problems with variable boundary. |
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| Keywords: | analytical structural mechanics time-space harmony element hyperbolic partial differential equation |
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