一种摄动迭代法应用于弹性圆薄板大挠度问题
The Perturbation-Iterative Method Applied to the Problems of the Large Deflection of the Elastic Circular Thin Plates
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摘要: 在这篇文章里,我们介绍一种摄动迭代法求非线性弹性圆薄板边值问题的解,对承受某些载荷的圆板大挠度问题的解的收敛性作了严格的证明.Abstract: In this paper, we present a perturbation-iterative method for solving certain boundary value problems encountered in the nonlinear theory of elastic circular thin plates. At the same time, with this method, we strictly prove the convergence of the solutions for the large deflection equations of circular plates subjected to certain distributed loads.
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