A model of the combined effects of vortex-induced oscillation and galloping

In this paper, the interactions of two forms of wind-induced oscillation of a cylinder of square cross-section in cross flow are modelled by simply combining the mathematical models of each form taken separately. The Hartlen-Currie model for vortex-induced oscillation is added to Parkinson and Smith's quasi-steady model for galloping and the resulting nonlinear oscillator equations are solved by a perturbation technique, the method of multiple scales. The results are compared with recent experimental data.