Vibration Response Analysis of a Geared Rotor System Considering the Tip Relief

Abstract

Considering the tip relief, a finite element model(FEM) of a spur gear pair in mesh is built by ANSYS software. Time-varying mesh stiffness and static transmission error with different amounts of tip relief are calculated based on the FEM. Then a finite element model of a geared rotor system is developed by considering the effects of the time-varying mesh stiffness and static transmission error, and the effect of the tip relief on the system vibration response is analyzed. The results show that as the amount of the tip relief on the gear increases, the saltation of the time-varying mesh stiffness and static transmission error decreases at the position of approach action and transition mesh region from the single-tooth to the double-tooth. The vibration amplitude significantly decreases at certain speeds, but it has an increase tendency in the vicinity of some critical speeds. A resonance peak appears when the gear mesh frequency is equal to the natural frequency or its fractional frequency; however, some resonance peaks corresponding to some fractional frequencies disappear at some amounts of the tip relief.