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A mathematical model for vortex-induced oscillation Lee, Francis Ngai-Ho

Abstract

The flow around a circular cylinder exhibiting vortex-induced oscillation is modelled by 2 potential vortices in a 2-dimensional, inviscid and irrotational flow. The lift on the cylinder is obtained from the general form of the Blasius equation. Pressure distribution is obtained from the pressure equation in a moving frame of reference. The lift expression is coupled to the dynamic equation of the cylinder. The phase and amplitude of oscillation are determined by the method of equivalent linearization. A relationship between amplitude of oscillation and strength of the vortices is proposed. Boot mean square pressure distribution at the Strouhal frequency on the surface of the oscillating cylinder is determined.

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