Parametric Vibrations of a System of Oscillators Connected with Periodically Variable Stiffness

In this paper, we have considered a mechanical system consisting of two coupled oscillators. The mechanical design has the effects of magnetic and resistance forces. The spring constant of the system is periodically varying. By appropriately choosing the parameter values, we have numerically shown that the system’s state variables, such as the displacements and the velocities, under the effects of different forces, lead to some nonlinear behaviors, like a transition from the fixed point attractor to the chaotic attractor through the periodic and quasi-periodic attractors. These numerically obtained results will be helpful when the mechanical system is studied in a real experimental rig.