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Dynamic Response Analysis of Combined Vibrations of Top Tensioned Marine Risers

Abstract:

A model including the cross-flow and in-line vibration of a top tensioned riser (TTR) under excitation from vortices and time-varying tension is proposed, where the Van der Pol wake oscillator is used to simulate the load caused by the vortex shedding. The governing partial differential equations describing the fluid-structure interactions are formulated and multi-mode approximations are obtained using the Galerkin projection method. The first-order approximation is analysed in this work. Dynamic responses of the in-line and cross-flow displacements are obtained by the numerical simulation for different parameter values. Results show that the large-amplitude vibration of the structure can be induced by the combined resonance. The results can be helpful to enhance design process of top tension risers.