Vibration of two in-plane simply supported bending cables interconnected by a flexible cross-link

IF 1.5 4区工程技术 Q3 MECHANICS

Journal of Mechanics Pub Date : 2022-01-01 DOI:10.1093/jom/ufac026

Chung-Yue Wang, V. S. Nguyen, M. I. Syamsi, Hao-Lin Wang

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引用次数: 2

Abstract

Most of the existing analytical solutions to the vibration of cable networks interconnected by cross-ties are developed based on string theory, where the effect of cable bending rigidity on cable vibration is ignored. However, the bending rigidity of cables strongly influences the natural frequencies and vibration mode shapes of short and stout cables and long cables at higher modes. Hence, this paper considers cable bending rigidity to form a closed-form solution that can be used in determining the natural frequencies and mode shapes of cable networks. The analytical solution of the cable network model with hinged-end boundary conditions is derived. It can be combined with other existing techniques to analyze the dynamic behaviors of a two-cable network with partly fixed supports. The analytical solution derived from this paper can be degenerated to the same solution without considering the cable bending rigidity in previous studies. The accuracy of this analytical solution considering cable bending rigidity is verified by finite element analysis. The effects of bending rigidity on the vibration frequencies and modes of the cable network with inclined and flexible cross-link are investigated in detail. This analytical solution can be applied to backward analysis to identify the cable tension of a two-cable network with partly fixed supports.

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用柔性交联连接的平面内简支弯曲电缆的振动

现有的交叉拉索网络振动解析解大多基于弦理论，忽略了拉索弯曲刚度对拉索振动的影响。然而，索的弯曲刚度对短、粗索和长索在高模态下的固有频率和振型有很大的影响。因此，本文考虑电缆的弯曲刚度，形成一个封闭的解，可用于确定电缆网络的固有频率和模态振型。导出了具有铰端边界条件的电缆网络模型的解析解。该方法可与现有的其他方法相结合，用于分析部分固定支承的双缆网络的动力特性。本文导出的解析解可以在不考虑前人研究中索的弯曲刚度的情况下退化为相同的解析解。通过有限元分析验证了考虑电缆弯曲刚度的解析解的准确性。详细研究了弯曲刚度对斜交联和柔性交联索网振动频率和振型的影响。该解析解可用于判别部分固定支承双索网的索张力的逆向分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mechanics 物理-力学

CiteScore

3.20

自引率

11.80%

发文量

审稿时长

6 months

期刊介绍： The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.