Nonlinear analysis of mooring lines and marine risers

Yin, Hui (2007) Nonlinear analysis of mooring lines and marine risers. Masters thesis, Memorial University of Newfoundland.

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Abstract

A six degree-of-freedom finite element numerical code, named MAPS-Mooring, has been developed for the static and dynamic analysis of mooring lines and marine risers. The three dimensional global-coordinate-based finite element method is adopted to model the mooring lines. In this method, the global coordinate system is used to describe the position of mooring lines instead of introducing local coordinate systems. The geometric nonlinearity and the environmental load nonlinearity are considered. Assuming that the sea bottom is flat and elastic, the non-penetrating bottom boundary conditions are applied on the sea floor in the analysis. -- In the computation, the static problem is first solved to determine the initial profile of mooring lines. When solving the static problem, the inertia term is neglected. The governing differential equations of the mooring line are a set of nonlinear algebraic equations which are solved by Newton's iteration method. For dynamic problems, the first-order differential equations are solved by the first-order Adams-Moulton method. -- The developed program was verified and validated by its applications to various mooring systems and marine risers. The reliability and accuracy of the program has been demonstrated by comparing the numerical solutions with the analytical solutions, experimental data and numerical results by other programs.

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