Limit Cycle on the Forced Vibrations Oscillator with a Time-Varying Mass

Abstract

In this paper, a forced vibration caused by drag and lift forces with time-varying mass is studied. The construction of the model is conducted by adding impact force to the previous model. The periodicity of the solution is yet known. Hence, the model is seen as a perturbation problem. Since the unperturbed problem has a periodic solution, we applied the averaging method to determine the sufficient condition such that the limit cycle exists.