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, 15(1): 30-38.
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, 15(1): 30-38.
shu
Zhou Jianfang, Zhuo Jianshou. VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION[J]. Engineering Mechanics, 1998, 15(1): 30-38.
Citation: Zhou Jianfang, Zhuo Jianshou. VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION[J]. Engineering Mechanics, 1998, 15(1): 30-38.
shu

Hamilton体系下的变分原理和半解析有限元解

VARIATIONAL PRINCIPLE IN HAMILTONIAN SYSTEM AND SEMI ANALYTIC FINITE ELEMENT SOLUTION

    摘要
  • 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。

     

    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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