学术
均匀覆层梯度半空间中的Love面波
张立刚[1] 盖秉政[1] 朱虹[2]
[1]哈尔滨工业大学航天工程与力学系,哈尔滨150001 [2]哈尔滨工业大学复合材料研究所,哈尔滨150001
摘 要:
对覆盖一层均匀各向同性材料的功能梯度半空间中的Love波频散问题进行了研究，给出了Love波频散方程的一般形式．对功能梯度半空间的反平面剪切波的运动控制方程进行了求解，给出了半空间的位移、应力解析解，导出了该解析解下的Love波频散方程的一般形式．以功能梯度材料的剪切弹性模量和质量密度沿深度方向均呈指数变化和抛物线变化两种情况为例，进行了计算和分析，给出了频散曲线．结果显示：在最低阶振型频散曲线中出现了截止频率。[著者文摘]
文章出处:
《西安交通大学学报》-2007年41卷3期 -372-376页
栏目信息:
分 类 号:
文献标识码:
A
文章编号:
0253-987X（2007）03-0372-05
Love Wave in Graded Half-Space with Homogeneous Layer
Zhang Ligang, Gai Bingzheng, Zhu Hong（1. Department of Aeronautical Engineering and Mechanics, Harbin Institute of Technology, Harbin 150001, China; 2. Center for Composite Materials, Harbin Institute of Technology, Harbin 150001, China）
Abstract:
The dispersion problem of Love waves is investigated in the functionally graded halfspace covered with an isotropic homogeneous layer. In the functionally graded half-space, the governing equation of antiplane shear wave is solved, the analytical solutions of displacement and stress are obtained, and the corresponding general form of Love waves dispersion equation is deduced. Two cases of functionally graded materials with exponentially and parabolically varying shearing modulus and mass density along the depth are evaluated, and the dispersion curves are presented. It is found that the cut-off frequency arises in the dispersion curve of the lowest order vibration modal.[著者文摘]
Key words:
functionally graded material; Love wave; wave velocity; dispersion; differential equation with varied coefficient
基金资助:
国家自然科学基金资助项目（10272036）.
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