歯形誤差と歯剛性変動を考慮したはすば歯車対の歯打ちにおける非線形振動

抄録

This paper deals with the gear rattle of helical gear system. Introducing the mesh stiffness variation and the tooth profile error into the equation of motion of one pair of helical gear system, the effects of the mesh stiffness variation, tooth profile error, and torque variation on the rattle are studied by numerical analysis. As a result, the followings were made clear. (1) Higher-harmonic resonances occur because of the torque variation, however, in the small torque variation, those vibrations are caused by the interaction of the tooth profile error and torque variation. (2) In the region where the meshing frequency is a little lower than the twice of the natural frequency, the large amplitude chaos occurs because of the interaction of the tooth profile error and torque variation. (3) In the higher-harmonic resonance of the helical gear with tooth profile error, gear rattle involves short interval impacts, different from the one without tooth profile error. (4) There is a possibility that the gear rattle is improved by the tooth profile error, but the amplitude of displacement becomes large depending on the tooth profile error.