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复合材料梁结构应力波传播特性研究
引用本文:冯勇明,周 丽,杨建元,袁晚春.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.
作者姓名:冯勇明  周 丽  杨建元  袁晚春
作者单位:1.北京航空工程技术研究中心,北京 100076;
2.南京航空航天大学 机械结构力学及控制国家重点实验,南京 210016
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。

关 键 词:分层  反射与透射  能量传输  能量分配  

Wave reflection and transmission in composite beams
FENG Yong-ming,ZHOU Li,YANG Jian-yuan,YUAN Wan-chun.Wave reflection and transmission in composite beams[J].Journal of Vibration and Shock,2016,35(6):20-28.
Authors:FENG Yong-ming  ZHOU Li  YANG Jian-yuan  YUAN Wan-chun
Affiliation:1. Beijing Aeronautical Technology Research Center, Beijing 100076, China; 2.State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of  Aeronautics and astronautics,Nanjing 210016, China
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.  
Keywords:delamination                                                      reflection and transmission                                                      composite beam                                                      power transport
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