A two-dimensional free surface flow past a circular cylinder forced to performstreamwise oscillations in the presence of an oncoming uniform flow is investigated at a Reynolds number of R = 200 and fixed displacement amplitude, A = 0.13, for the forcing frequency-to-natural shedding frequency ratios, f/f0 = 1.5, 2.5, 3.5. This study is based on numerical solutions of the special integral form o...