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Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables

Srinil, N. and Rega, G. and Chucheepsakul, S. (2004) Three-dimensional non-linear coupling and dynamic tension in the large-amplitude free vibrations of arbitrarily sagged cables. Journal of Sound and Vibration, 269 (3-5). pp. 823-852. ISSN 0022-460X

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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.

Item type: Article
ID code: 18650
Keywords: three-dimensional non-linear coupling, non-linear coupling, dynamic tension, large-amplitude free vibrations, sagged cables, marine engineering, Naval architecture. Shipbuilding. Marine engineering, Engineering (General). Civil engineering (General), Mechanics of Materials, Mechanical Engineering, Acoustics and Ultrasonics, Condensed Matter Physics
Subjects: Naval Science > Naval architecture. Shipbuilding. Marine engineering
Technology > Engineering (General). Civil engineering (General)
Department: Faculty of Engineering > Naval Architecture and Marine Engineering
Depositing user: Dr Narakorn Srinil
Date Deposited: 08 Apr 2010 12:19
Last modified: 10 Dec 2015 18:40

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