Abstract
In this paper, the periodic vibration calculation and branching analysis of the periodic root are presented for a motor model located on an elastic base. Firstly, the vibrated model on the elastic base was proposed which includes the clearance between the motor housing and the base. Next, the dynamic equation of the system has been established by applying Lagrange method and we obtained a system of nonlinear differential equations. All the calculation was performed by numerical method based on the single shot algorithm. The results acquired are the branching figures of vibration according to the changes in the system parameters and periodic vibrations at some steady state of the system.