Tooth Contact Analysis of Helical Gears with Longitudinal Modification Considering Twist Errors

doi:10.3901/JME.2024.03.143

Abstract

Abstract: Based on the generation mechanism of the twist error of the modified tooth flank, the mathematical equations of the tooth flank of helical gear with longitudinal modification considering twist error are derived. The tooth contact analysis (TCA) model of drum-shaped driving pinion and no modification driven gear with the twist errors is built, and the two main design parameters, helix angle and the amount of drum-shaped modification are selected from the formula for calculating the amount of tooth flank twist to analyze their influence on transmission error and contact ellipse. The results show that the larger the modified amount and helix angle of the helical gear is, the more serious the tooth flank twist is; the increase of the modified amount and helix angle makes the transmission error increase, which affects the stability of transmission; the effect of the modified amount on the contact ellipse area is small, while the helix angle increases, the contact ellipse area decreases, which makes the contact stress increase, and the effect of the helix angle and the modified amount on the tooth contact stress are verified by finite element analysis. By adjusting the modified amount and helix angle, the amount of twist, transmission error, and contact ellipse area can be controlled, which has a great reference value for the optimal design of the modified helical gear.

Key words: lead modification, tooth flank twist, design parameters, tooth contact analysis, transmission error

CLC Number:

TH132

DU Yanbin, WANG Aoting, HE Kun. Tooth Contact Analysis of Helical Gears with Longitudinal Modification Considering Twist Errors[J]. Journal of Mechanical Engineering, 2024, 60(3): 143-154.

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