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A variational approach for three-dimensional model of extensible marine cables with specified top tension

Chucheepsakul, S. and Srinil, N. and Petchpert, P. (2003) A variational approach for three-dimensional model of extensible marine cables with specified top tension. Applied Mathematical Modelling, 27 (10). pp. 781-803. ISSN 0307-904X

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Abstract

This paper presents a variational model formulation that can be used for analyzing the three-dimensional steady-state behavior of an extensible marine cable. The virtual work-energy functional, which involves virtual strain energy due to a cable stretching, and virtual works done by the gravitational, inertial and external drag forces, is formulated. Euler-Lagrange's equations, obtained by considering the first variation of the functional, are identical to those obtained by equilibrating forces on a cable infinitesimal segment. Two mathematical simulations, namely, the finite element method and the shooting-optimization technique, are employed to solve and evaluate the problems. The numerical investigations are carried out for the case of a specified end tension, whereas the specified cable unstrained length case can be applied in the algorithm procedure. The validity of the present model and the influence of various geometrical parameters on the cable equilibrium configuration are demonstrated. The effects of cable extensibility and the omnidirectionality of current actions are presented and discussed.

Item type: Article
ID code: 18652
Keywords: mathematical simulation, variational approach, three-dimensional marine cable model, extensible marine cables, finite element method, shooting-optimization method, Naval architecture. Shipbuilding. Marine engineering, Engineering (General). Civil engineering (General), Modelling and Simulation, Applied Mathematics
Subjects: Naval Science > Naval architecture. Shipbuilding. Marine engineering
Technology > Engineering (General). Civil engineering (General)
Department: Faculty of Engineering > Naval Architecture and Marine Engineering
Related URLs:
    Depositing user: Dr Narakorn Srinil
    Date Deposited: 08 Apr 2010 13:11
    Last modified: 05 Sep 2014 01:18
    URI: http://strathprints.strath.ac.uk/id/eprint/18652

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