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Boundary integral equations and the boundary element method for buckling analysis of perforated plates

机译：多孔板屈曲分析的边界积分方程和边界元方法

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摘要

In this paper, a system of new boundary integral equations is established to solve the plane stress, critical loads and post-buckling problem for perforated thin plates, based on the general bifurcation theory and mathematical model for the stability analysis of perforated thin plates. As applications, we compute the critical loads and analyse the post-buckling behaviour of annular plates with simply supported and clamped edges under uniformly applied edge loads. The results agree well with those obtained by other methods. This shows that the boundary element method is efficiently applied to the post-buckling analyses of perforated thin plates and has the advantages of smaller-size matrices to process, less data to input and less time to use in computation compared with domain type solutions.
机译：本文基于一般分岔理论和数学模型，对多孔薄板的稳定性进行了分析，建立了求解多孔薄板的平面应力，临界载荷和后屈曲问题的新边界积分方程组。作为应用，我们计算临界载荷并分析在均匀施加的边缘载荷下具有简单支撑和夹紧边缘的环形板的屈曲后行为。结果与通过其他方法获得的结果非常吻合。这表明边界元方法可有效地应用于穿孔薄板的屈曲后分析，并且与域类型解决方案相比，具有处理矩阵尺寸较小，输入数据较少和计算时间较少的优点。

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