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Mathematical Problems in Engineering
Volume 2017 (2017), Article ID 8519523, 13 pages
Research Article

The Snap Tension Analysis of Taut-Slack Mooring Line with tanh Method

School of Mechanical Engineering, Tianjin Key Laboratory of Nonlinear Dynamics & Chaos Control, Tianjin University, Tianjin 300072, China

Correspondence should be addressed to Su-xia Zhang

Received 14 March 2017; Revised 6 June 2017; Accepted 24 July 2017; Published 29 August 2017

Academic Editor: Fazal M. Mahomed

Copyright © 2017 Su-xia Zhang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The continuous model is introduced, and the nonlinear partial differential equations of taut-slack mooring line system are transferred to nonlinear algebraic equations through tanh method, and four solitary solutions are obtained further. At the same time, to express the results clearly, the curve surfaces of strains, displacements, and tension are plotted. The results show that there are four different solutions in the system. With the pretension increasing, the tension changes from one solitary solution to snap tension, and when the pretension is increased further, the curve converts to continuous line, until straight line, which is corresponding to the taut mooring line. In the process of increasing of pretension, the mooring line transfers from slack to taut, accompanied with tension skipping, which is reduced by the system parameters, and different combination of parameters may introduce different tension in line, and the uncertainty may cause the breakage of mooring system. The results have an agreement with experiment, which shows that the calculating method in this paper may be believable and feasible. This work may provide reference for design of mooring system.