Stochastic stability of tethered buoyant platforms |
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| Authors: | PK Muhuri AS Gupta |
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| Institution: | Department of Naval Architecture, India;Department of Mathematics, Indian Institute of Technology, Kharagpur, India |
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| Abstract: | A moment method for analysing the stochastic stability of the surge motion of a tethered buoyant platform (TBP) in a random sea is examined. In the differential equation describing the surge motion the variation of tether tension caused by the vertical component of the wave forces is random-time dependent in form. The asymptotic moment behaviour of the solution is determined and approximated in terms of an integral equation. Under the assumption of a narrow band process imposed upon the random coefficient, the stability results are obtained with the aid of deterministic stability theory. The mean square stability is studied and criteria for stability are obtained in terms of the damping coefficient and the auto-correlation function of the random sea. |
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