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B样条加权残数法分析简支扁球壳强度问题
引用本文:冯一丁,崔东辉.B样条加权残数法分析简支扁球壳强度问题[J].南京航空航天大学学报,1993(2).
作者姓名:冯一丁  崔东辉
作者单位:南京航空学院飞机系 (冯一丁),南京航空学院飞机系(崔东辉)
摘    要:本文针对简支扁球壳的简化方程,采用三次B样条和五次B样条函数作为基函数,分别利用内部配点权残法、最小二乘配点法及伽辽金配点法三种方法求解。结果表明,简化方程可靠,权残法计算简便有效。

关 键 词:扁壳  样条函数  加权残数法

Analysis of B-Spline Weighted Residual Method on Strength for Shallow Shell with Simply Edges
Feng Yiding Chui Donghui.Analysis of B-Spline Weighted Residual Method on Strength for Shallow Shell with Simply Edges[J].Journal of Nanjing University of Aeronautics & Astronautics,1993(2).
Authors:Feng Yiding Chui Donghui
Institution:Department of Aircraft Engineering
Abstract:It is very meaningful to develope numerical method for shell structure. In order to solve the simplified equations of the rectangular base shallow shell with the simply edges, we adopt the 3rd and the 5th B-spline functions as basic function. and use three methods seperately: the Collocation Method, the Least Squares-Collocation Method and Galerkin-Collocation Method.to get its solution. It is indicated that the simplified equations are reliable and the Weighted Residual Method is simple,effective and worth studing further.
Keywords:shallow shells  spline functions  weighted residual method  
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