Research Papers: Structures and Safety Reliability

Application of Groebner Basis Methodology to Nonlinear Static Cable Analysis

[+] Author and Article Information
Y. Jane Liu

e-mail: jliu@tntech.edu

George R. Buchanan

Department of Civil and Environmental Engineering,
Tennessee Technological University,
Cookeville, TN 38505

John Peddieson

Department of Mechanical Engineering,
Tennessee Technological University,
Cookeville, TN 38505

1Corresponding author.


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.

J. Offshore Mech. Arct. Eng 135(4), 041601 (Jul 15, 2013) (6 pages) Paper No: OMAE-11-1100; doi: 10.1115/1.4024599 History: Received November 12, 2011; Revised February 09, 2013

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.

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Grahic Jump Location
Fig. 1

Coordinate system and displaced element of cable

Grahic Jump Location
Fig. 2

Tension distributions (QL/T0 = 0.5, T0/EA = 1/10)

Grahic Jump Location
Fig. 3

Tension distributions (QL/T0 = 0.5, T0/EA = 1)

Grahic Jump Location
Fig. 4

Tension distributions (QL/T0 = 0.5, T0/EA = 5)

Grahic Jump Location
Fig. 5

Tension distributions (QL/T0 = 5, T0/EA = 1/10)

Grahic Jump Location
Fig. 6

Tension distributions (QL/T0 = 5, T0/EA = 1)

Grahic Jump Location
Fig. 7

Tension distributions (QL/T0 = 5, T0/EA = 5)

Grahic Jump Location
Fig. 8

Tension distributions (QL/T0 = 2.5, T0/EA = 1/10)

Grahic Jump Location
Fig. 9

Tension distributions (QL/T0 = 10, T0/EA = 1/10)




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