具有非均匀损伤带状区域中波的传播  

WAVE PROPAGATION IN AN INHOMOGENEOUS DAMAGED ZONE

作　　者：罗松南[1] 周正平[1] 童桦[1] 

机构地区：[1]湖南大学工程力学系,长沙410082

出　　处：《振动与冲击》2006年第5期74-76,80,共4页Journal of Vibration and Shock

基　　金：湖南省自然科学基金资助项目(03JJY3008);教育部科学技术研究重点项目(104137)

摘　　要：对弹性波在二次曲线变化的非均匀损伤介质中的传播理论进行了研究。通过非均匀损伤区两端界面处力的平衡条件和位移连续性条件对方程式进行求解,利用勒让德多项式,求出了二次曲线变化的非均匀损伤介质中波动方程的解析形式解。对带状渐增和渐减的非均匀损伤介质中波的传播进行了实例计算分析,讨论了弹性波在二次曲线变化的非均匀损伤介质中传播的一般性质。The theory of elastic wave propagation in a quadratic inhomogeneous damaged zone between two media of different homogeneous materials is studied. Based on Legendre polynomial, the equations are solved by using equilibrium conditions of forces and continuous conditions of deformations on two boundaries of inhomogeneous damaged zone and the general analytic solution for elastic wave propagation are gained. The basic properties of elastic wave propagation in quadratic inhomogeneous damage materials are discussed by examples.

关 键 词：弹性波 损伤介质 波幅 勒让德多项式 

分 类 号：O374.4[理学—流体力学]