In previous work, methods for optimizing aerodynamic coefficients, detecting the phenomena resulting from Plunging motion, Pitching fluctuations, and also the combination of Pitching and Plunging fluctuations on the airfoils have been investigated. In this study the effects of important parameters such as reduced frequency, oscillation amplitude and Reynolds number on Naca 0010 airfoil at constant frequency of 5 Hz in the range of 3.6 k 12.3 for reduced frequency and 0.025c h 0.65c for amplitude range have been numerically studied. In order to maximize the force coefficient for a maximum lift, as well as to reduce the drag force which may result in a generation of a leading force, along with increasing the values ??of the reduced frequency and amplitude, one could reduce the dynamic viscosity which effectively increases the Reynolds number. In the present study, a numerical study has been carried out based on the results of an experimental research, some of which have been selected for validation and completion of this research. The results obtained for the aerodynamic coefficients show a 90% increase in the mean trust force coefficient with an increase in the oscillatory amplitude at a reduced frequency of 10.11 and also an increase of 87% in the mean trust coefficient with increasing the reduced frequency. In addition, the simulation has also been repeated on a Riso airfoil for which similar results have been obtained. At the end, flow vortices are detected in the oscillatory state to illustrate the signs of the trust force generation. Keywords: Plunging, Reduce Frequency, Amplitude, NACA 0010, Riso Airfoil