Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables
Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables
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DOI：
10.1016/s0022-460x(03)00137-8
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发表时间：
2004-01-22
影响因子：
4.7
通讯作者：
Chucheepsakul, S
中科院分区：
文献类型：
--
作者：
Srinil, N;Rega, G;Chucheepsakul, S
本文提出了一种能够分析三维悬索大振幅自由振动的模型公式。利用虚功-能泛函建立了三维运动的非线性方程。该公式不限于具有小垂跨比的缆索，并且方便地应用于指定端部张力的情况。为了获得准确的结果，还包括轴向延伸效应。基于一个多自由度模型，数值程序来解决空间和时间的问题。各种数值例子的任意下垂的电缆与大幅初始条件进行突出电缆的非线性动力学的一些突出的特点，也占内部共振现象。三维和二维运动之间的非线性耦合，以及非线性索张力响应进行了分析。对于特定的电缆，模态转换现象发生在面内振动和随后发生的主导内部共振观察。当只有一个单一的模式被启动，一个更高或更低的模式可以容纳到响应，使电缆的空间形状混合在一些时间间隔。(C)2003爱思唯尔有限公司。保留所有权利。
This paper presents a model formulation capable of analyzing large-amplitude free vibrations of a suspended cable in three dimensions. The virtual work-energy functional is used to obtain the non-linear equations of three-dimensional motion. The formulation is not restricted to cables having small sag-to-span ratios, and is conveniently applied for the case of a specified end tension. The axial extensibility effect is also included in order to obtain accurate results. Based on a multi-degree-of-freedom model, numerical procedures are implemented to solve both spatial and temporal problems. Various numerical examples of arbitrarily sagged cables with large-amplitude initial conditions are carried out to highlight some outstanding features of cable non-linear dynamics by accounting also for internal resonance phenomena. Non-linear coupling between three- and two-dimensional motions, and non-linear cable tension responses are analyzed. For specific cables, modal transition phenomena taking place during in-plane vibrations and ensuing from occurrence of a dominant internal resonance are observed. When only a single mode is initiated, a higher or lower mode can be accommodated into the responses, making cable spatial shapes hybrid in some time intervals. (C) 2003 Elsevier Ltd. All rights reserved.