Free propagation of elastic waves in small-curvature, damped, infinite cables
文献类型：期刊论文
| 作者 | Li, Lijun1,2; Zeng, Xiaohui1,2 ; Wu, Han1,2; Cui, Zhehua1,2; Ceng XH(曾晓辉); Zeng XH(曾晓辉)
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| 刊名 | APPLIED MATHEMATICAL MODELLING
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| 出版日期 | 2024-10-01 |
| 卷号 | 134页码:29-49 |
| 关键词 | Wave propagation in elastic cables Damping Wave dispersion Stopband Passband Wave dissipation |
| ISSN号 | 0307-904X |
| DOI | 10.1016/j.apm.2024.05.043 |
| 通讯作者 | Zeng, Xiaohui(zxh@imech.ac.cn) |
| 英文摘要 | Understanding the wave propagation is crucial for dynamic analysis of long elastic cables prone to high-order vibrations. The coupling of elastic waves in cables is still not sufficiently understood. However, wave coupling produces attenuation frequency bands, which is useful for vibration control. In this study, the coupled waves equation for a damped cable with a small curvature was proposed. Using the equation, wave frequencies and velocities were studied. Then the cable responses in the stopbands and passbands were examined. Finally, the free responses were analysed in the spatial domain. The study focused on the influence of curvature and damping on wave propagation. The results showed that the wave coupling caused by curvature was critical for producing the attenuation bands and dispersion of waves. It generated the stopbands and passbands for the wave propagation, in which the waves respectively attenuated or propagated. Furthermore, the coupling effect induced pronounced dispersion in the in-plane longitudinal waves. As for damping, it not only affected the frequencies of stopbands and passbands, but also caused wave attenuation. Damping was found to shift the cut-off frequency from the real axis to the imaginary axis and transform the stopband from a line segment into a quadrilateral area. Additionally, the relationship between frequency and wave-number evolved from a twodimensional curve into a three-dimensional surface. What's more, damping caused wave dissipation over time. |
| WOS关键词 | AMPLITUDE FREE-VIBRATIONS ; SPEED RAILWAY CATENARY ; DYNAMIC-ANALYSIS ; PANTOGRAPH ; ATTENUATION ; MOTION |
| 资助项目 | National Natural Science Foundation of China[12372051] ; National Natural Science Foundation of China[11672306] ; National Key Research and Development Program of China[2022YFB4201500] |
| WOS研究方向 | Engineering ; Mathematics ; Mechanics |
| 语种 | 英语 |
| WOS记录号 | WOS:001254342500001 |
| 资助机构 | National Natural Science Foundation of China ; National Key Research and Development Program of China |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/95811]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 通讯作者 | Zeng, Xiaohui; Zeng XH(曾晓辉) |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Mech, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Lijun,Zeng, Xiaohui,Wu, Han,et al. Free propagation of elastic waves in small-curvature, damped, infinite cables[J]. APPLIED MATHEMATICAL MODELLING,2024,134:29-49. |
| APA | Li, Lijun,Zeng, Xiaohui,Wu, Han,Cui, Zhehua,曾晓辉,&Zeng XH.(2024).Free propagation of elastic waves in small-curvature, damped, infinite cables.APPLIED MATHEMATICAL MODELLING,134,29-49. |
| MLA | Li, Lijun,et al."Free propagation of elastic waves in small-curvature, damped, infinite cables".APPLIED MATHEMATICAL MODELLING 134(2024):29-49. |
入库方式： OAI收割
来源：力学研究所
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