| 正交各向异性空心圆柱体的周向SH波 |
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| 引用本文： | 禹建功,吴斌. 正交各向异性空心圆柱体的周向SH波[J]. 声学技术, 2009, 28(3): 208-211. DOI: 10.3969/j.issn1000-3630.2009.03.002 |
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| 作者姓名： | 禹建功 吴斌 |
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| 作者单位： | 1. 河南理工大学机械与动力学院,河南焦作,454003
2. 北京工业大学机电学院,北京,100022 |
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| 摘 要： | 基于线性三维弹性理论,得到了正交各向异性管道中位移表示的周向波控制方程.波动方程中的轴向位移独立于其它两个方向.即波的传播可以分解为SH波和类Lamb波.通过贝塞尔函数求得了这个周向SH波频散方程.方程中决定周向SH波特性的弹性常数有两个,一个决定了波的频率,另一个决定了波速.最后分别讨论了两个弹性常数和波数变化对周向SH波位移模式的影响.
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| 关 键 词： | 周向SH波 频散曲线 正交各向异性 空心圆柱体 |
| 收稿时间： | 2008-05-23 |
| 修稿时间： | 2008-08-16 |
Circumferential SH wave in orthotropic hollow cylinders |
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| YU Jian-gong and WU Bin. Circumferential SH wave in orthotropic hollow cylinders[J]. Technical Acoustics, 2009, 28(3): 208-211. DOI: 10.3969/j.issn1000-3630.2009.03.002 |
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| Authors: | YU Jian-gong and WU Bin |
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| Affiliation: | School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454003, Henan, China;College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100022, China |
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| Abstract: | Based on linear three-dimensional elasticity theory,the displacements expressed circumferential wave controlling equation of orthotropic hollow cylinder is obtained.The axial displacement is independent of the other two directions.And the waves can be decomposed into SH wave and Lamb-like wave.Through the Bessel functions,the dispersion equation of circumferential SH wave is obtained.There are two elastic constant determining the SH wave characteristics,one controlling the wave frequency and the other controlling the wave velocity.Finally,The influences of the two constants and the wave number on the SH wave displacement mode shapes are discussed. |
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| Keywords: | circumferential SH waves dispersion curves orthotropy hollow cylinders |
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