| 时间-空间混和有限元 |
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| 引用本文： | 钟万勰,高强.时间-空间混和有限元[J].动力学与控制学报,2007,5(1):1-7. |
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| 作者姓名： | 钟万勰 高强 |
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| 作者单位： | 大连理工大学工业装备结构分析重点实验室,大连,116023 |
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| 基金项目： | 国家重点基础研究专项经费资助项目(2005CB321704)，国家重点自然科学基金资助项目(10632030)~~ |
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| 摘 要： | 分析动力学与分析结构力学在数学理论上是一致的.振动与结构力学问题,其实只是一个符号之差.分析力学方法对两方面可通用.双曲型偏微分方程与椭圆型偏微分方程也是差一个符号.虽然性质不同,但分析上有共同之处.本文提出在有限元分析方面,不用对时间、空间分别离散而是组成混和的时空混和有限元网格.数值结果表明,时空混和有限元是有前途的.
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| 关 键 词： | 分析结构力学 时空混和元 双曲型偏微分方程 多尺度 |
| 文章编号： | 1672-6553/2007/05(1)/001-7 |
| 收稿时间： | 2006-12-11 |
| 修稿时间： | 2006年12月11 |
Harmony element method for time and space domain |
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| Zhong Wanxie and Gao Qiang.Harmony element method for time and space domain[J].Journal of Dynamics and Control,2007,5(1):1-7. |
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| Authors: | Zhong Wanxie and Gao Qiang |
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| Abstract: | The mathematical theory is the same for analytical dynamic mechanics and analytical structural mechanics. In fact, the difference is just a symbol for vibration and structural mechanics. Therefore, the method of analytical mechanics can be applied to both sides. The difference for hyperbolic and elliptic partial differential equations is also a sign. Although they are different in nature, there are common theories to analyze them. This paper presents that it is not necessary to discrete time and space domain separately for the finite element analysis and that the time and space domain can be discrete mixed to form harmony finite element mesh. The numerical results show that the harmony finite element method is a promising method. |
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| Keywords: | analytical structural mechanics time-space harmony element hyperbolic partial differential equation multiscale |
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