1. The Snap Tension Analysis of Taut-Slack Mooring Line with tanh Method
- Author
-
Su-xia Zhang, Ruizhi Shi, Shengli Chen, and Xi-jun Liu
- Subjects
Work (thermodynamics) ,Engineering ,Article Subject ,General Mathematics ,020101 civil engineering ,02 engineering and technology ,01 natural sciences ,0201 civil engineering ,Control theory ,0103 physical sciences ,010306 general physics ,Partial differential equation ,Tension (physics) ,business.industry ,Continuous modelling ,lcsh:Mathematics ,Hyperbolic function ,Mathematical analysis ,General Engineering ,lcsh:QA1-939 ,Algebraic equation ,Nonlinear system ,lcsh:TA1-2040 ,Line (geometry) ,lcsh:Engineering (General). Civil engineering (General) ,business - Abstract
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.
- Published
- 2017