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In the view of Reissner’s and Kirchhoff’s theories,respectively,we formulate theisotropicalized governing equations for the anisotropic plates,and give the proof of theequivalence relation between these two plate-models for the simply-supported rectangularorthotropic plates.The well-known fundamental solutions of the isotropic plates are utlizedfor the spline integral equation analysis of anisotropic plates.Even with sparse meshes thesatisfactory results can be obtained.The analysis of plates on two-parameter elasticfoundation is so simple as the common case that only a few terms should be added to theformulas of fictitious loads. 相似文献
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Reissner型板样条边界元 总被引:2,自引:0,他引:2
本文用Hormander法导出Reissner型板含有修正Bessel函数的基本解,边界量采用B样条基插值,即使结点布置很稀也能达到良好的效果,而且成果不受边界效应干扰,计算稳定,还可独立算求板上任一点任一向的位移和内力,对轴对称问题则可给出精确解答。 相似文献
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王左辉 《应用数学和力学(英文版)》1993,14(8):767-776
In this paper,the nonsingular fundamental solutions are obtained from Fourierseries under some given conditions.These solutions can be taken as the kernels ofintegral equation.So a new boundary element method is presented,with which allkinds of thin-plate bending problems can’be solved,even with complicated loadings andsinuous boundaries.The calculation is much simpler and more accurate. 相似文献
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