HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES

Applied Mathematics and Mechanics (English Edition) ›› 1995, Vol. 16 ›› Issue (7): 667-674.

HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES

赵琪¹, 叶天麒²

1. Shanghai University Shangha Institute of Applied Methematics and Mechanics, Shanghai 200072. P.R.China;
2. Northwestern Polytechnical University, Xi'an 710072. P.R.China

收稿日期:1994-06-30 出版日期:1995-07-18 发布日期:1995-07-18
通讯作者: Zhao Xinghua

HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES

Zhao Qi¹, Ye Tianqi²

1. Shanghai University Shangha Institute of Applied Methematics and Mechanics, Shanghai 200072. P.R.China;
2. Northwestern Polytechnical University, Xi'an 710072. P.R.China

Received:1994-06-30 Online:1995-07-18 Published:1995-07-18

摘要/Abstract

摘要： Based on the asynptotical perturbation method and the Galerkin Itechnique.thehybrid changeable basis Galerkin technique is presented for predicting the nonlinearresponse of structures. By the idea of changeable basis functions first proposed, itgreatly reduces calculation and is easily used in other numerical diseretizationtechniques,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 undercentrally distributed pressures.

Abstract: Based on the asynptotical perturbation method and the Galerkin Itechnique.thehybrid changeable basis Galerkin technique is presented for predicting the nonlinearresponse of structures. By the idea of changeable basis functions first proposed, itgreatly reduces calculation and is easily used in other numerical diseretizationtechniques,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 undercentrally distributed pressures.

赵琪;叶天麒. HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(7): 667-674.

Zhao Qi;Ye Tianqi. HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES[J]. Applied Mathematics and Mechanics (English Edition), 1995, 16(7): 667-674.

参考文献

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[9] A. K. Noor and C. D. Balch. hybrid perturbation Bubnov-Galerkin technique for nonlinear thermal analysis, AIAA J.,22(1984).287-294.
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HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES

HYBRID CHANGEABLE BASIS GALERKIN TECHNIQUE FOR NONLINEAR ANALYSIS OF STRUCTURES

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