The governing equations for large deflections of cables have a highly nonlinear and coupled nature, which precludes exact analytical solutions except in a few simplified cases. The present study demonstrates the utility of Groebner Basis methodology in facilitating the construction of approximate analytical and semianalytical Galerkin solutions in the geometrically nonlinear analysis of cable statics.
Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis
Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received November 12, 2011; final manuscript received February 9, 2013; published online July 15, 2013. Assoc. Editor: Daniel T. Valentine.
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Jane Liu, Y., Buchanan, G. R., and Peddieson, J. (July 15, 2013). "Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis." ASME. J. Offshore Mech. Arct. Eng. November 2013; 135(4): 041601. https://doi.org/10.1115/1.4024599
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