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杂交可变基Galerkin方法在圆板大挠度问题中的应用
引用本文:赵琪,叶天麒.杂交可变基Galerkin方法在圆板大挠度问题中的应用[J].上海大学学报(自然科学版),1995,1(2):149-154.
作者姓名:赵琪  叶天麒
作者单位:上海市应用数学和力学所
摘    要:为了验证杂交可变基Galerkin方法的有效性,本文分析了圆板大挠度问题,给出四种边界情况的圆板非线性响应,并同样条函数解及摄动解做了比较,研究了摄动点数目对解精度的影响。结果表明,本文方法可大幅度降低计算量,而且在其它数值方法中易于推广应用,是解决结构非线性问题的有效手段。

关 键 词:弹性力学  非线性  加辽金法  可变基  挠度  圆板  

Hybrid Changeable Basis Galerkin Technique for Large Deflection Analysis of Circular Plates
Zhao Qi.Hybrid Changeable Basis Galerkin Technique for Large Deflection Analysis of Circular Plates[J].Journal of Shanghai University(Natural Science),1995,1(2):149-154.
Authors:Zhao Qi
Abstract:In this paper, the effectiveness of hybrid changeable basis Galerkin technique is demonstrated by means of solving the large deflection of circular plates. Its nonlinear responses under four boundary conditions are presented and compared with B pline function solution. The influence of Perturbation point number on solution accuracy is discussed. Results show that this technique is more economy in computing time and is easily used in numerical methods else. It is a high potential method.
Keywords:nonlinear  changeable basis  Galerkin technique  asymptotical perturbation method
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