正交各向异性薄板弯曲问题分裂模量有限元法

党发宁; 荣廷玉; 孙训方

正交各向异性薄板弯曲问题分裂模量有限元法

1.
西安理工大学岩土工程研究所, 西安710048;
2.
西南交通大学应用力学与工程系, 成都610031

基金项目: 国家博士后科学基金资助项目

详细信息

作者简介:
党发宁(1962- ),男,汉族,陕西省富平县人,副教授,计算力学博士,副所长.

中图分类号: O242.21
计量
- 文章访问数: 2265
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- 被引次数: 0
出版历程
- 收稿日期: 2000-02-28
- 修回日期: 2001-03-23
- 刊出日期: 2001-09-15

Splitting Modulus Finite Element Method for Orthogonal Anisotropic Plate Bending

1.
Institute of Geotechnical Engineering, Xi'an University of Technology, Xi'an 710048, P R China;
2.
Department of Applied Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P R China

摘要

摘要: 讨论了建立分裂模量有限元法的必要性,推导了正交各向异性薄板弯曲问题分裂模量变分原理的泛函,以此为基础建立了该问题的分裂模量有限元法。该模型的特点是其中含有一个被称为分裂因子的参数,通过算例说明:适当调整分裂因子的值,可以达到调整有限元模型的刚度、降低有限元刚度矩阵的谱条件数、克服常规有限元病态问题的目的,最后分析了克服病态问题的机理。
- 分裂模量变分原理 /
- 分裂模量有限元法 /
- 各向异性 /
- 病态问题
Abstract: Splitting modulus variational principle in linear theory of solid mechanics was introduced, the principle for thin plate was derived, and splitting modulus finite element method of thin plate was established too. The distinctive feature of the splitting model is that its functional contains one or more arbitrary additional parameters, called splitting factors, so stiffness of the model can be adjusted by properly selecting the splitting factors. Examples show that splitting modulus method has high precision and the ability to conquer some ill-conditioned problems in usual finite elements. The cause why the new method could transform the ill-conditioned problems into well-conditioned problem, is analyzed finally.
- splitting modulus variational principle /
- method of splitting modulus finite elements /
- anisotropic /
- ill-conditioned problems

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参考文献(17)

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