Abstract
A mathematical model for vortex-induced oscillation of a continuous system with circular cross section is derived. It is assumed that the two dimensional flow is maintained at each point along the axis of a circular cylinder so that the Tamura model for vortex-induced oscillation in the two dimensional flow is applicable at each point. Then, the steady state periodic solutions are obtained. Further, the numerical solutions are calculated for various cylinders having particular mode shape which are immersed in the flows with the mean velocity varied along the axis.
