正交各向异性空心圆柱体中的纵向导波

宋国荣; 刘明坤; 吕炎; 刘宏业; 吴斌; 何存富

doi:10.6052/j.issn.1000-4750.2016.11.0841

正交各向异性空心圆柱体中的纵向导波

1.
北京工业大学机械工程与应用电子技术学院, 北京 100124;
2.
上海理工大学光电信息与计算机工程学院, 上海 200093

基金项目: 国家自然科学基金项目（51235001，51575015，51505013）

详细信息

作者简介:
刘明坤(1994-),男,河南人,硕士生,从事现代测控技术及方法研究(E-mail:liu_mingkun@126.com);吕炎(1985-),男,河南人,讲师,博士,从事声学显微镜技术、材料力学性能无损检测等方面研究(E-mail:lvyan@bjut.edu.cn);刘宏业(1986-),男,山东人,讲师,博士,从事超声无损检测新技术、结构健康监测等方面研究(E-mail:liuhongye910@126.com);吴斌(1962-),男,山西人,教授,博士,副校长,从事结构动力行为及应用和测控技术方面研究(E-mail:wb@bjut.edu.cn);何存富(1958-),男,山西人,教授,博士,院长,从事无损检测新技术和现代测控技术及方法等方面研究(E-mail:hecunfu@bjut.edu.cn).

通讯作者:
宋国荣(1963-),女,北京人,教授,博士,从事现代测控技术及方法和超声无损检测新技术等方面研究(E-mail:grsong@bjut.edu.cn).

中图分类号: O343.2
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- 文章访问数: 345
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出版历程
- 收稿日期: 2016-10-31
- 修回日期: 2017-05-05
- 刊出日期: 2018-03-24

LONGITUDINAL GUIDED WAVES IN ORTHOTROPIC HOLLOW CYLINDERS

1.
College of Mechanical Engineering and Applied Electronic Technology, Beijing University of Technology, Beijing 100124, China;
2.
School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

摘要

摘要: 基于三维线弹性理论，采用勒让德正交多项式展开法，推导了正交各向异性材料中纵向导波的耦合波动方程，并对耦合波动方程进行了数值求解。首先，为确定方法的适用性和准确性，利用Disperse软件求解各向同性空心圆柱体中纵向导波的频散曲线，并将其与勒让德正交多项式展开法求解结果相对比，二者结果完全一致。然后，讨论了勒让德正交多项式截止值对轴对称导波频散曲线收敛性的影响，并从数值计算的角度分析了产生影响的原因。最后，针对碳纤维缠绕的复合材料空心圆柱体，分别求解纵向、扭转和弯曲三种不同模态纵向导波的相速度频散曲线。计算了不同径厚比下的弯曲模态相速度频散曲线，分析径厚比的变化对频散曲线的影响。
- 纵向导波 /
- 频散曲线 /
- 勒让德正交多项式法 /
- 正交各向异性空心圆柱体 /
- 径厚比
Abstract: Based on linear three-dimensional elasticity, the wave motion equations for coupled longitudinal guided waves are derived by using a Legendre orthogonal polynomial approach, and the coupled equations of wave motion are solved numerically. Firstly, to determine the applicability and accuracy of this method, the dispersion curves of longitudinal guided waves in isotropic hollow cylinders were solved by using Disperse software. The results obtained by Disperse calculation are compared with those by Legendre orthogonal polynomial approach method. The calculation results of the two methods are consistent. Then, the influence of the Legendre polynomial cutoff value on the convergence of the axisymmetric guided wave dispersion curves is discussed. The reason of the influence is analyzed by the numerical calculation. Finally, for the composite hollow cylinder wound by carbon fiber, the dispersion curves of three different modes of longitudinal guided waves are calculated separately. The phase velocity dispersion curves for different ratios of outer radius to thickness are calculated to analyze the influence of the ratio on the dispersion curves.
- longitudinal guided waves /
- dispersion curves /
- Legendre orthogonal polynomial approach /
- orthotropic hollow cylinders /
- ratio of outer radius to thickness

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参考文献(22)

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施引文献(7)

期刊类型引用(3)

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2.	王鑫鑫，禹建功，张博，刘灿灿，王现辉. 一维六方准晶纳米板中Lamb波特性研究. 工程力学. 2023(10): 213-221 . 本站查看
3.	李思宇，张宇，刘宏业，范彦平，吕炎，刘增华. 黏弹性正交各向异性空心圆柱中纵向导波的传播. 复合材料学报. 2019(10): 2275-2285 . 百度学术

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正交各向异性空心圆柱体中的纵向导波

通讯作者: 宋国荣(1963-),女,北京人,教授,博士,从事现代测控技术及方法和超声无损检测新技术等方面研究(E-mail:grsong@bjut.edu.cn).

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LONGITUDINAL GUIDED WAVES IN ORTHOTROPIC HOLLOW CYLINDERS

期刊类型引用(3)

其他类型引用(4)

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目录

通讯作者:
宋国荣(1963-),女,北京人,教授,博士,从事现代测控技术及方法和超声无损检测新技术等方面研究(E-mail:grsong@bjut.edu.cn).