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工程力学  2015 

集中载荷下四边固支正交各向异性矩形板的线性弯曲问题

DOI: 10.6052/j.issn.1000-4750.2013.12.1178, PP. 28-32

Keywords: 载荷叠加法,集中载荷,四边固支矩形板,正交各向异性,挠度

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Abstract:

采用载荷叠加法将集中载荷下四边固支正交各向异性矩形板线性弯曲的挠度分为3个部分:集中载荷下四边简支板的挠度、上下边简支左右边受弯矩的板的挠度、左右边简支上下边受弯矩的板的挠度,3个挠度之和在满足固支边界条件的情况下即为所要求的挠度的解。采用MATLAB软件编写程序进行计算,并将相同长宽的板在4种不同的厚度和载荷情况下的挠度计算结果与有限元分析结果进行比较,验证了解析解的正确性。最后讨论了经典的Kirchhoff薄板假设对于集中载荷的适用性问题。

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