The Estimation of Vibration of a Pair of Spur Gears Due to Their Tooth Profile Errors (1st Report)

The Linear Approximated Formula of Each Resonance Amplitude of Vibration

Abstract

It is important to estimate the rotational vibration of a pair of spur gears when the tooth profile error is given. The effect of the amplitude and the phase angle of each harmonic component of tooth pofile error to the amplitude of vibration is discussed in this paper. The amplitude-rotational speed characteristics of vibration are numerically obtained by using the finite difference method. We found that each resonance amplitude of vibration is the function of the amplitude and phase angle of each harmonic component of tooth profile error. The linear approximated formula between the each resonance component of vibration and the each harmonic component of the tooth profile error is proposed. We apllied this linear approximated formula to estimate the vibration of actual tooth profile error of gears which are made by various processing method. The estimated results agreed with the detailed-calculation results.