In this paper an analytical model is proposed to investigate the effect of internal radial clearance in nonlinear dynamic behavior of a rotating system supported by deep groove ball bearings. In this case, the only excitation mechanism is the parametric excitation which induces the ball pass frequency which is detected in the vibration spectra. The variation of vibration amplitude for different internal radial clearance is carefully analyzed. The rolling element contacts modeled with nonlinear springs based on Hertzian contact which is stiff in the direction of contact and soft in the opposite direction. The differential equations are solved iteratively using a modified Newmark numerical integration technique. The results are presented in the form of fast Fourier transforms. The obtained results are compared with those ones in reliable literatures.

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