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非均匀损伤介质中波传播的数值解
引用本文:童桦,周正平,罗松南.非均匀损伤介质中波传播的数值解[J].上海力学,2005,26(1):53-59.
作者姓名:童桦  周正平  罗松南
作者单位:湖南大学土木工程学院,长沙,410082;湖南大学工程力学系,长沙,410082
基金项目:湖南省自然科学基金(03JJY3008),教育部科学技术研究重点项目(104137)
摘    要:对弹性波在非均匀损伤介质中的传播理论进行了研究。通过将非均匀损伤区域离散成分层均匀的区域,结合相邻区域交界面处的连续条件,推导出了以右行波、左行波为状态向量的波动方程和传递矩阵。对几种非均匀损伤介质中波的传播进行了实例数值计算,并和其解析解的结果进行了比较,讨论了弹性波在非均匀损伤介质中传播的一般性质。

关 键 词:弹性波  损伤介质  波幅  非均匀介质
文章编号:0254-0053(2005)01-53-7
修稿时间:2004年6月28日

Numerical Solutions of Wave Propagation in Inhomogeneous Damaged Zone
TONG Hua ,ZHOU Zheng-ping ,LUO Song-nan.Numerical Solutions of Wave Propagation in Inhomogeneous Damaged Zone[J].Chinese Quarterly Mechanics,2005,26(1):53-59.
Authors:TONG Hua  ZHOU Zheng-ping  LUO Song-nan
Institution:TONG Hua 1,ZHOU Zheng-ping 2,LUO Song-nan 2
Abstract:The theory of elastic wave propagation in inhomogeneous damaged zone between two different homogeneous materials was studied. The homogeneous zone was dispersed into layered zones. Using force equilibrium conditions and displacement continuous conditions between interface of two continuous zones, the wave propagation equations expressed by right and left wave were derived and the transfer matrix was obtained. The basic properties of elastic wave propagation in inhomogeneous damaged media were discussed by examples and the numerical results were compared with analytical results.
Keywords:elastic wave  damaged media  amplitude of waves  inhomogeneous media
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