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Discrete singular convolution method for bending analysis of Reissner/Mindlin plates using geometric transformation

机译:基于几何变换的Reissner / Mindlin板弯曲分析的离散奇异卷积方法

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摘要

In this study, a simple approach for bending analysis of Reissner-Mindlin plates is presented using the four-node quadrilateral domain transformation based on discrete singular convolution. In the proposed approach, irregular physical domain is transformed into a rectangular domain by using the geometric coordinate transformation. The DSC procedures are then applied to discrete the governing equations and boundary conditions. The accuracy of the proposed method is verified by comparison with known solutions obtained by other numerical or analytical methods. Results for Reissner-Mindlin plates show a satisfactory agreement with the analytical and numerical solutions.
机译:在这项研究中,使用基于离散奇异卷积的四节点四边形域变换,提出了一种简单的Reissner-Mindlin板弯曲分析方法。在提出的方法中,通过使用几何坐标变换将不规则物理域变换为矩形域。然后,将DSC程序应用于离散控制方程和边界条件。通过与其他数值或分析方法获得的已知解决方案进行比较,验证了所提出方法的准确性。 Reissner-Mindlin板的结果与解析和数值解均显示出令人满意的一致性。

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