TIME DOMAIN SIMULATION OF VORTEX-INDUCED VIBRATION OF A CURVED BEAM USING A WAKE OSCILLATOR MODEL

Abstract eng:
A general model capable of simulating the vortex-induced vibration of a flexible curved cylinder is presented. The 3-D motion of the cylinder is modeled using a curved EulerBernoulli beam, which accounts for bending, extensibility and geometrical nonlinearity. The finite element method is used to solve the beam equation. The hydrodynamic forces are modelled with the help of the van der Pol wake oscillators attached to the nodes of the FE model of the beam. Such phenomenological oscillators are conventionally used for the prediction of vortex-induced vibration of rigid cylinders subjected to cross flow perpendicular to their axis. In order to cope with the curvature of the beam, a local reference frame is introduced and the tangential component of the flow velocity is neglected. Comparison is performed of the predictions of the proposed model with experimental observations of the vortex-induced vibration of a curved cable available in the literature. The comparison showed that the proposed model can reproduce some features observed in the experiment, such as the location of power-in region and the travelling wave.

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