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Stability analysis of the heave motion of marine cable-body systems |
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| Authors: | S Huang |
| Institution: | a Department of Naval Architecture and Ocean Engineering, University of Glasgow, Glasgow G12 8QQ, Scotland, UK |
| Abstract: | The dynamic stability of the heave motion of marine cable-body systems operating in alternating taut–slack conditions is considered, based upon a single-degree-of-freedom model. In this model the fluid damping is linearised and the cable is replaced by a spring of bi-linear stiffness. The period-one Poincare map is derived, and its stability is analysed by examining its Jacobian matrix. Numerical simulations are also carried out to show the transition from a periodic response to a chaotic one through period doubling. |
| Keywords: | Water wave effects Submarine cables Degrees of freedom (mechanics) Damping Stiffness Matrix algebra Computer simulation Mathematical models Chaos theory Fluid structure interaction Marine cable-body systems Heave motion stability Poincare map Jacobian matrix |
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