The Evaluation Method of Tooth Profile Error for a Spur Gear Pair to Estimate Its Running Performance

Abstract

The Linear Approximated Equation (LAE) of rotational vibration of a spur gear pair and its analytical solution of vibration have been developed by this research. In this report, by considering that the analytical solution gives the common relation between the vibration and gear dimensions (inertia, contact ratio, variable stiffness), running condition (rotational speed, load), tooth profile error of gear pair, the evaluation method of tooth profile error correspond to rotational vibration is developed. The average vibration of low and high speed running gear are easily estimated from the product of average dynamic factor by the amplitude of equivalent error. According to the magnitude of average vibration, the accuracy grade of profile error is decided. The validity of this new accuracy grade is confirmed both by the comparison with usual gear accuracy standard and the result of running experiment.