| Hamilton体系下的变分原理和半解析有限元解 |
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| 引用本文： | 周建方 卓家寿. Hamilton体系下的变分原理和半解析有限元解[J]. 工程力学, 1998, 0(1): 30-38 |
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| 作者姓名： | 周建方 卓家寿 |
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| 作者单位： | [1]河海大学常州分校，常州213022 [2]河海大学土木工程学院，南京210098 |
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| 摘 要： | 本文通过讨论弹性力学几种主要变分原理在Ｈａｍｉｌｔｏｎ体系下的表现形式，得出了在Ｈａｍｉｌｔｏｎ体系下几种变分原理等价和相应泛函分为两类的结论，求出了基于两类泛函基础上的单元半解析解，并对单元性能进行了讨论。
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| 关 键 词： | Hamilton体系，变分原理，半解析解 |
VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION |
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| Zhou Jianfang Zhuo Jianshou. VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION[J]. Engineering Mechanics, 1998, 0(1): 30-38 |
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| Authors: | Zhou Jianfang Zhuo Jianshou |
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| Abstract: | Expressions of several variational principles of elastic mechanics in Hamilton system are discussed, the conclusions that these variational principles are equivalent and corresponding functionals are divided into two kinds are drawn. Semi analytic solutions of element based on two kinds of functionals are found and corresponding element properties are discussed. |
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| Keywords: | Hamilton system variational principle semi-analytic solution |
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