Abstract
In this research, we consider a 2-DOF nonlinear system in which the masses are connected by means of a weakly linear stiffness. We show nonlinear normal modes in this system using the method of multiple scales. It is shown that the bifurcation and the stability of the modes depend on the coupling stiffness and the amplitude of the masses, respectively. We indicate that the bifurcations of the frequency response curve are characterized from those in the nonlinear normal modes. Furthermore, we investigate the occurrence of mode localization depending on the coupling stiffness.
