基于功率流有限元方法的异形薄板能量密度求解

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (16) : 188-194.

论文

刘知辉 1，牛军川 1,2，周一群 1

作者信息 +

Energy Density Analysis of Irregular Shaped Plates Based on Power Flow Finite Element Method

LIU Zhi-hui 1 NIU Jun-chuan 1,2 Zhou Yi-qun 1

Author information +

文章历史 +

摘要

在机械工程中，对结构在不同频率激励下的振动响应进行分析预测具有重要的意义。功率流有限元法以其适用频率范围较广，可得到结构响应的细节信息等优点成为振动分析领域的研究热点。利用功率流有限元方法对薄板的弯曲波能量密度进行了求解，使用加权残差法导出了薄板单元节点的能量密度残差，利用线性四边形网格对薄板进行网格划分并在此基础上建立了单元的有限元方程，进一步地通过对单元有限元方程的组装和求解得到了薄板上各个节点处的能量密度响应，引入线性三角形网格以处理复杂形状薄板能量密度的求解，对使用功率流有限元方法求解任意形状薄板上的能量密度分布问题具有一定意义。

Abstract

It has the important significance to analyze and predict the vibration response of the structures under the different frequency. The power flow finite element method has become a research focus of the vibration analysis due to the advantages of the broad applicable frequency range and the detail information provided. The power flow finite element method is implemented to solve the flexural wave energy density of the thin plate, and the weighted residual method is used to derive the residual of the node points. The linear quadrilateral mesh is used to partition the thin plate and the element’s finite element equation is derived, then the global finite element equation is assembled and solved, and the energy density of the nodes is get. The linear triangular element is introduced to partition the plate with complex shape. The research is meaningful for the implementation of the power flow element method on the thin plate with the arbitrary shape.

导出引用

刘知辉 1，牛军川 1,2，周一群 1. 基于功率流有限元方法的异形薄板能量密度求解[J]. 振动与冲击, 2017, 36(16): 188-194

LIU Zhi-hui 1 NIU Jun-chuan 1,2 Zhou Yi-qun 1. Energy Density Analysis of Irregular Shaped Plates Based on Power Flow Finite Element Method[J]. Journal of Vibration and Shock, 2017, 36(16): 188-194

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