复合材料梁结构应力波传播特性研究

冯勇明1,2,周 丽2,杨建元1,袁晚春2

振动与冲击 ›› 2016, Vol. 35 ›› Issue (6) : 20-28.

PDF(2173 KB)
PDF(2173 KB)
振动与冲击 ›› 2016, Vol. 35 ›› Issue (6) : 20-28.
论文

复合材料梁结构应力波传播特性研究

  • 冯勇明1,2,周  丽2,杨建元1,袁晚春2
作者信息 +

Wave reflection and transmission in composite beams

  • FENG Yong-ming1,2,ZHOU Li2,YANG Jian-yuan1,YUAN Wan-chun2
Author information +
文章历史 +

摘要

基于铁木辛柯梁理论,研究含半无限大分层复合材料梁结构中波的反射与透射。考虑表面无接触压力(张开分层)及表面完全接触(闭合分层)两种极端分层条件,对单向复合材料梁建模导出反射与透射矩阵,计算能量反射与透射系数。数值结果表明,能量反射与透射系数同随波频率及分层位置变化,能量传输遵循守恒定律。研究各模态能量分配,描述前两阶弯曲波及第一阶膨胀波间模态转换关系;通过有限元仿真验证该理论分析的正确性。

Abstract

Wave reflection and transmission in composite beams containing a semi-infinite delamination are studied analytically based on Timoshenko beam theory. Two extreme cases of delaminated surface conditions: non-contact(open) and fully contact(closed) delaminations, are considered respectively for a unidirectional composite beam. The analytical solution of reflection and transmission matrices for a semi-infinite delamination is derived. Then the power reflection and transmission coefficients are obtained, which depend on both frequency and the position of the delamination. Numerical results show the conservation of power transport. The power distribution is also investigated in this paper to describe the mode conversion between two flexural modes and one extensional mode. A finite element method is used to verify the validity of the analytical results.  

关键词

分层 / 反射与透射 / 能量传输 / 能量分配

Key words

delamination / reflection and transmission / composite beam / power transport

引用本文

导出引用
冯勇明1,2,周 丽2,杨建元1,袁晚春2. 复合材料梁结构应力波传播特性研究[J]. 振动与冲击, 2016, 35(6): 20-28
FENG Yong-ming1,2,ZHOU Li2,YANG Jian-yuan1,YUAN Wan-chun2. Wave reflection and transmission in composite beams[J]. Journal of Vibration and Shock, 2016, 35(6): 20-28

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