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离散型最小二乘法分析变刚度薄板
引用本文:谭道宏,王晓川. 离散型最小二乘法分析变刚度薄板[J]. 武汉大学学报(工学版), 1984, 0(1)
作者姓名:谭道宏  王晓川
作者单位:武汉水利电力学院建筑力学教研室(谭道宏),武汉水利电力学院建筑力学教研室(王晓川)
摘    要:本文利用加权残数法中的离散型最小二乘法的混合法,分析了变刚度薄板的强度,试函数采用双重幂级数,提出了利用连接条件分析刚度发生突变的薄板强度的方法,通过一些算例证实了上述方法的可行性。


The Discrete Least Square Method for Solving Plates with Variable Flexural-rigidity
Abstract:In this paper, the mixed method of discrete least square of MWR (Method of Weighted Residuals) is used for analyzing the bending strength of plates with variable flexural rigidity. The trial function selected is a double power series with unknown coeffcients. A method with continuity condition is proposed for analyzing the strength of plates with their flexural-rigidity varying discontinuously. The feasibility of the present method is demonstrated by the illustrative examples.
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