Vibratory Response in Helical Gear System : 1st Report, Analysis of Mesh Exciting Force

Abstract

This paper presents analytical study of gear mesh exciting force that causes the vibrations of the helical gear systems and resulting gear noise. In equation of one degree of freedom for rotational vibration, displacement and tooth stiffness are separated into mean and fluctuating components. As the result, mesh exciting force is shown to be a composite of exciting force due to tooth stiffness variation and that due to tooth surface error. Then a simplified method to calculate mesh exciting force is proposed. This method uses tooth stiffness of error free gear in order to eliminate computational effortS. For validation, gears with modified tooth surface are run in the gearbox. The calculated mesh exciting force shows good correlation with the measured acceleration of the gearbox housing, and also shows good correlation with the mesh exciting force identified by shaking test.