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M.T.A. Chaudhary, "Semiclosed-Form Solution for Static Nonlinear Analysis of Extensible Cables," Mech. Solids. 49 (4), 468-476 (2014)
Year 2014 Volume 49 Number 4 Pages 468-476
DOI 10.3103/S0025654414040128
Title Semiclosed-Form Solution for Static Nonlinear Analysis of Extensible Cables
Author(s) M.T.A. Chaudhary (Al Imam Mohammad Ibn Saud Islamic University, College of Engineering, P.O. Box 5701, Riyadh, Saudi Arabia, mtariqch@hotmail.com)
Abstract The analysis of a cable deforming under statically applied body forces leads to a series of differential equations that are inherently nonlinear due to coupling of geometry and loading. These equations have been solved by nonlinear finite element technique, finite difference formulation, or a two-step shooting method. However, a semiclosed-form solution is presented herein in which the governing differential equations are integrated to yield exact expressions for the unknown cable forces and the parameters defining the geometry of the loaded cable. The formulation presented herein is capable of taking care of the large sag and deformation in the cable without employing any numerical solution procedure.
Keywords extensible cable, static nonlinear analysis, large deformation, semiclosed-form solution
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Received 21 November 2012
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