This paper presents an analytical calculation method for high-speed helical gear multi-tooth impact excitation based on energy conservation considering the temperature effect. Firstly, considering the tooth surface contact temperature factor, the position of the meshing point of a gear tooth is determined. Then, the meshing impact excitation of the first pair of helical gears, considering the temperature effect, is obtained. Secondly, based on the principle of conservation of energy, the amount of change in the meshing speed of tooth pairs Ⅱ and Ⅲ, induced by the meshing impact excitation outside the line, is determined, and an analytical model for the impact of tooth pairs Ⅱ and Ⅲ is established; the model will obtain the impact excitation of tooth pairs Ⅱ and Ⅲ. Then, the evolution law of multi-tooth impact excitation induced by the meshing impact excitation is explained. Finally, the influence of gear impact on the time-varying friction excitation and the tooth surface load is studied. The proposed calculation method can accurately and quickly calculate the multi-tooth impact excitation of a high-speed helical gear pair and provide theoretical support for the prediction of the impact and contact state of a gear system in engineering practice.
Yang et al. (Thu,) studied this question.