分析结构非线性问题的杂交可变基Galerkin方法

赵琪; 叶天麒

分析结构非线性问题的杂交可变基Galerkin方法

赵琪¹,
叶天麒²

1.
上海市应用数学和力学研究所上海大学上海 200072;
2.
西北工业大学飞机工程系西安 710072

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出版历程
- 收稿日期: 1994-06-30
- 刊出日期: 1995-07-15

Hybrid Changeable Basis Galerkin Technique for Nonlinear Analysis of Structures

Zhao Qi¹,
Ye Tianqi²

1.
Shanghai Institute of Applied Methematics and Mechanics, Shanghai University, Shanghai 200072;
2.
Northwestern Polyte chnical University, Xi'an 710072

摘要

摘要: 基于渐近摄动理论和Galer-kin方法,本文提出分析结构非线性问题的杂交可变基Galer-kin方法。本文方法首次引入可变基函数的概念,可大幅度降低计算量,而且在有限元法等数值方法中易于推广应用,在解决非线性问题领域有广泛应用前景。最后本文分析圆板大挠度问题和扁球壳大挠度问题,以验证本文方法的有效性。
- 非线性 /
- 可变基 /
- 渐近摄动理论 /
- Galerkin方法
Abstract: Based on the asynptotical perturbation method and the Galerkin Itechnique.thehybrid changeable basis Galerkin technique is presented for predicting the nonlinear response of structures.By the idea of changeable basis functions first proposed,itgreatly reduces calculation and is easily used in other numerical diseretization techniques,such as finite element method etc.,It appears to have high potential forsolution of nonlinear srtyctyrak oribkrbts.Finally,the effectiveness of this technique isdemonstrate by means of two numerical examples:the large deflection of circularplates objected to uniform normal load and the large deflection of spherical caps under centrally distributed pressures.
- nonlinear /
- changcable basis function /
- asymptotical perturbation method /
- Galerkin technique

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参考文献(16)

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