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工程力学  2013 

正交各向异性和各向同性方板自由振动的三维无网格解

DOI: 10.6052/j.issn.1000-4750.2012.04.0239, PP. 18-22

Keywords: 正交各向异性,各向同性,自由振动,无网格,径向基函数

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Abstract:

推导了正交各向异性和各向同性弹性体自由振动的三维控制微分方程,利用基于逆复合二次径向基函数的无网格配点法对三维控制微分方程和边界条件进行离散,通过数值算例选取了逆复合二次径向基函数的形状参数,结果表明:形状参数(是x方向的节点数)时计算结果收敛最快。计算了不同边界条件的正交各向异性和各向同性板的固有频率,该文中的结果与文献中的结果具有较好的一致性。

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