Finite element modelling of mooring lines

• Published in: Mathematics and computers in simulation Vol. 53; no. 4; pp. 415 - 422
• Main Authors: Aamo, O.M., Fossen, T.I.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Amsterdam Elsevier B.V 30.10.2000; Elsevier
• Subjects: Applied sciences; Computer science; control theory; systems; Exact sciences and technology; Finite element method; Mathematics; Mooring; Numerical analysis; Numerical analysis. Scientific computation; Ordinary differential equations; Partial differential equations, boundary value problems; Sciences and techniques of general use; Simulation; Software; Symmetrizable hyperbolic systems; Finite element method; Mooring; Symmetrizable hyperbolic systems; Solution uniqueness; Symmetrization; Equation of motion; Existence of solution; Initial value problem; Modeling; Global solution; Implementation; Equation system; Truncation; Boundary value problem; Hyperbolic equation
• ISSN: 0378-4754; 1872-7166
• DOI: 10.1016/S0378-4754(00)00235-4

In this paper, we develop a finite element model for a cable suspended in water. Global existence and uniqueness of solutions of the truncated system is shown for a slightly simplified equation describing the motion of a cable having negligible added mass and supported by fixed end-points. Based on this, along with well known results on local existence and uniqueness of solutions for symmetrizable hyperbolic systems, we conjecture a global result for the initial-boundary value problem.