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This plate vibration and stability analysis of a refined quadrilateral plate element

机译:精制四边形板单元的板振动和稳定性分析

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摘要

In this paper, a refined nonconforming quadrilateral thin plate element RPQ4 is used to analyze the vibration and stability problems of thin plates. For vibration analysis, a modified mass matrix is formulated and in the same way, a modified geometric stiffness matrix is formed to calculate the critical load int he stability analysis of thin plates. The numericla results have demonstrated that the modified mass matrix and modified geometric stiffness matrix are efficient in improving the accuracy of natural frequency in the free vibration analysis and critical load of buckling in the analysis of stability of thin plates.
机译:本文使用精制的不合格四边形薄板单元RPQ4来分析薄板的振动和稳定性问题。对于振动分析,制定了修正的质量矩阵,并以相同的方式,形成了修正的几何刚度矩阵,以计算薄板稳定性的临界载荷。数值结果表明,改进后的质量矩阵和改进后的几何刚度矩阵可有效地提高自由振动分析中固有频率的精度以及薄板稳定性分析中屈曲的临界载荷。

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