Vortex-induced vibration of circular cylinders. II:new model

The analytical work presented in this paper closely follows the data obtained from new experiments on vortex-induced vibration of circular cylinders in air. The experimental data are presented in the companion paper preceding in the journal. The vortex-induced vibration of a flexibility supported circular cylinder is modeled by a new single-degree-of-freedom model with velocity-dependent coefficients. The model is of the ordinary differential equation type with a self-excited, a self-limiting van der Pol-type aeroelastic damping pair and an aeroelastic parametric excitation term. The latter term is the innovative addition in the current model. The development of the model equations is outlined, following which it is analyzed and its parameters estimated in conjunction with the data from experiments reported in the companion paper. The model and its parameters have been rendered dimensionless in the analysis, to facilitate universal applicability.