UBC Theses and Dissertations
A mathematical model for vortex-induced oscillation Lee, Francis Ngai-Ho
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.
Item Citations and Data