能量有限元方法在复合材料层合梁耦合结构振动分析中的应用

蔡忠云;唐文勇;&#;张圣坤

振动与冲击 ›› 2010, Vol. 29 ›› Issue (10) : 23-27.

PDF(984 KB)
PDF(984 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (10) : 23-27.
论文

能量有限元方法在复合材料层合梁耦合结构振动分析中的应用

  • 蔡忠云; 唐文勇; 张圣坤

作者信息 +

The application of energy finite element method in vibration analysis of coupled composite laminated beam structures

  • cai Zhong-yun;Tang Wen-yong; Zhang Sheng-kun

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摘要



以能量有限元方法(EFEM)建立控制方程,研究了复合材料层合梁受激励时的横向振动问题。该方法以结构中的能量密度作为变量,根据波动理论中功率流与能量密度的平衡关系建立了与傅立叶热传导方程类似的二阶偏微分方程组,通过有限元离散得到结构单元节点的能量密度矩阵形式方程。根据耦合连续平衡条件,建立耦合单元节点矩阵,从而对总矩阵方程进行组集及求解,得到结构中能量密度的分布。通过数值算例与传统有限元方法(FEM)结果做了对比,取得了较好的一致性。



Abstract

The vibration analysis of laminated composite beam under transverse excitation is investigated by energy finite element method (EFEM) in this paper. According to equilibrium between power flow and energy density, the averaged energy density is used as the primary variable to form the differential equation which is similar to Fourier heat transmission equation. The energy density equation can be discretized to node’s matrix form by finite element method (FEM). In addition to place multiple nodes and insert joint element at the couple joint, the coupled matrix is obtained and the global matrix equation can be assembled and solved. Good agreement was obtained after comparing the numerical results between EFEM and FEM.

关键词

复合材料 / 层合梁 / 能量有限元 / 功率流 / 有限元分析 / 振动

Key words

composite / laminated beam / energy finite element method / power flow / FEM / vibration

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蔡忠云;唐文勇;&#;张圣坤. 能量有限元方法在复合材料层合梁耦合结构振动分析中的应用[J]. 振动与冲击, 2010, 29(10): 23-27
cai Zhong-yun;Tang Wen-yong;Zhang Sheng-kun. The application of energy finite element method in vibration analysis of coupled composite laminated beam structures[J]. Journal of Vibration and Shock, 2010, 29(10): 23-27

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