The vibration of a spring damped vibrator under a long cylindrical squeeze film force

Squeeze film effects between two concentric cylinders are common and important in many mechanical systems. The models for cylindrical squeeze force vibrating system with have not been well understood. In this paper, we model a starting from the simplification of full Navier–Stokes equations then get an expression force. We study influence harmonic exciting on spring damped vibrator effect by establishing non-linear mathematical model, investigate behavior numerically. As forced system, fundamental frequency response is consistent frequency; resultant shows obvious superharmonic phenomenon; number peaks increase Reynolds number, components mainly come non-linearity flow convection.