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里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。
The vibration analysis of a laminated composite beam under transverse excitation was investigated by using energy finite element method(EFEM)here.According to equilibrium between power flow and energy density,the averaged energy density was used as the primary variable to form the differential equation similar to Fourier heat transmission equation.The energy density equation could be discretized to node's matrix form with finite element method(FEM).In addition to place multiple nodes and insert joint element at the coupled joint,the coupled matrix was obtained and the global matrix equation could be assembled and solved.Good agreement was obtained after comparing the numerical results between EFEM and FEM.
出处
《振动与冲击》
EI
CSCD
北大核心
2010年第10期23-27,共5页
Journal of Vibration and Shock
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
composite
laminated beam
energy finite element method(EFEM)
power flow
FEM
vibration
