In this paper, several models of structure-fluid coupling are employed to investigate on the vibration behavior of the structure. Using basic equations of vibration and employing a mathematical model, a single degree of freedom system is analyzed. Some parameters of the mathematical model are obtained from test. To examine structure-flow interaction, coupled system of nonlinear second-order differential equations, including vibration equation of structure and van der Pol's equation, are solved synchronously. Lift coefficient is obtained by solving the coupled equations. Numerical solution is accomplished for three coupling models: displacement coupling, velocity coupling and acceleration coupling in each of which force is function of displacement, velocity and acceleration respectively. Time response, lift coefficient and vibration amplitude in steady state are obtained and plotted. Phase angle between the structure motion and lift coefficient change considerably when passing the locking zone which is well coincident with experimental results. Steady state vibration amplitudes for mentioned models are verified by comparing with experimental results.