Stress Concentration Calculation Factor of Tooth Root with 3D Rough Profile

doi:10.3901/JME.2021.21.182

Abstract

Abstract: The calculation of the stress concentration factor in the tooth root of the gear considering the influence of the rough surface is a difficult problem in accurately predicting the bending fatigue life of the gear. The ground and shot peened spur gear as the research object to study the root stress and stress concentration under the rough surface of tooth root. The white light interferometer Wyko NT9100 is used to measure the rough surface of the ground and shot peened tooth root, and the rough surface topography data is obtained. Based on the principle of space coordinate transformation, the finite element software is redeveloped by using Python, adjusting the coordinates of the tooth root refined mesh nodes, the rough topography of the tooth root surface is added, and the 3D rough surface finite element model of the tooth root transition surface is established and simulated. Through numerical calculation, the root stress distribution and stress concentration factor under 3D rough surface parameters are obtained, and the correlation law between rough surface parameters and stress concentration factor is performed nonlinear regression analysis, and the correlation law between rough surface parameters and stress concentration factor is established. The results show that the correlation coefficients of the fitting formulas obtained by fitting the rough surface parameters S_a, S_v, S_10z and stress concentration coefficients are 0.799, 0.784, 0.914, respectively. The ten-point region height parameter can better characterize the stress concentration on the tooth root surface.

Key words: gear tooth root, rough surface, stress concentration factor, method of calculation, shot peen

CLC Number:

TH132

HE Yuhui, HU Hang, TANG Jinyuan, ZHOU Wei. Stress Concentration Calculation Factor of Tooth Root with 3D Rough Profile[J]. Journal of Mechanical Engineering, 2021, 57(21): 182-188.

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