| 功能梯度材料中SH波的传播 |
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| 引用本文： | 张立刚,盖秉政,朱虹.功能梯度材料中SH波的传播[J].哈尔滨商业大学学报(自然科学版),2007,23(1):80-83,91. |
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| 作者姓名： | 张立刚 盖秉政 朱虹 |
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| 作者单位： | 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 |
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| 基金项目： | 国家自然科学基金(10272036) |
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| 摘 要： | 对功能梯度材料中SH波的传播问题进行了研究.建立了功能梯度材料中SH波的变系数微分方程.利用WKBJ理论对变系数微分方程进行了求解,给出了功能梯度材料中位移的解析解.以功能梯度材料剪切弹性模量和质量密度均呈抛物线变化为例进行了实例计算,得到了功能梯度材料中SH波的波速、波幅变化曲线,分析了功能梯度材料中SH波传播的一般性质.
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| 关 键 词： | SH波 功能梯度材料 波速 波幅 变系数微分方程 |
| 文章编号： | 1672-0946（2007）01-0080-04 |
| 收稿时间： | 2006-03-19 |
| 修稿时间： | 2006-03-19 |
SH-wave propagation in functionally graded materials |
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| ZHANG Li-gang,GAI Bing-zheng,ZHU Hong.SH-wave propagation in functionally graded materials[J].Journal of Harbin University of Commerce :Natural Sciences Edition,2007,23(1):80-83,91. |
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| Authors: | ZHANG Li-gang GAI Bing-zheng ZHU Hong |
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| Institution: | 1.Department of Aeroneutical Engineering and Mechanics.Harbin Institute of Technology,Harbin 150001,China;2.Center for Composite Materials,Harbin Institute of Technology,Harbin 150001,China |
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| Abstract: | The SH-wave propagation in the functionally graded materials is studied.The differential equation with varied coefficient of the SH-wave in the functionally graded materials is established.By using of the WKBJ approximation method,the differential equation with varied coefficient of wave motion is solved,and the analytical solutions of displacement in functionally graded materials are obtained.The properties of functionally graded materials whose shear elastic modulus and mass density are gradually varing in parabolic form are calculated,the curves of SH-wave velocity and amplitude in the functionally graded materials are obtained,and the general properties of the SHwave propagation are analyzed. |
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| Keywords: | SH-wave functionally graded materials wave velocity wave amplitude differential equation with varied coefficient |
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