正交异性矩形板后屈曲摄动分析

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Perturbation Analysis for the Postbucfcling of Rectangular Orthotropic Plates

摘要: 本文从正交异性板Kármán型大挠度方程出发,以挠度为摄动参数,采用直接摄动法,研究了正交异性矩形板在面内压缩作用下的后屈曲性态.本文讨论了两种面内边界条件,同时考虑了初始挠度的影响.本文给出了多种复合材料板的计算结果.所得结果与实验结果的比较表明二者是一致的.

Abstract: In this paper, applying perturbation method to von Karman-type nonlinear large deflection equations of orthotropic plates by taking deflection as perturbation parameter, the postbuckling behavior of simply supported rectangular orthotropic plates under in-plane compression is investigated.Two types of in-plane boundary conditions are now considered and the effects of initial imperfections are also studied.Numerical results are presented for various cases of orthotropic composite plates having different elastic properties.It is found that the results obtained are in good agreement with those of experiments.

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