Abstract
Rotating machineries are the most widely used elements in mechanical systems. Many systems such as power plant and jet engine are multi-span rotor system, which is supported by multiple bearings. In this research, we consider a 2-DOF nonlinear rotary system in which the two nonlinear rotors are coupled by means of a weakly linear stiffness. We show nonlinear normal modes in this system using the method of multiple scales. Furthermore, we indicate the occurrence of mode localization in this system.
