Meshing characteristics of variable hyperbolic circular-arc tooth trace cylindrical gears with cutter errors
Year: 2025
Type: article
Abstract: We investigate the relationship between cutter errors and meshing characteristics of the variable hyperbolic circular-arc tooth trace (VH-CATT) cylindrical gears. Firstly, based on the tooth surface forming principle, the tooth surface mathematical model with cutter errors is derived. Next, the mathematical models of tooth contact analysis and load tooth contact analysis are developed to calculate the contact trace, load transmission error, tooth surface load, and load distribution coefficient. Then, the equation of the tooth surface contact ellipse and the formulas of the main curvature direction angle are derived. Finally, the influences of the cutter errors on the contact ellipse, tooth surface contact trace, load transmission error, tooth surface load, and load distribution coefficient are analyzed. The research shows that all of the cutter errors have a certain influence on the contact ellipses, except for the translation error Δ x . The rotation angle error γ and the translation error Δ y make the contact position deviate from the middle section; all the cutter errors have a certain influence on the actual meshing line, except for the translation error Δ x and the tooth line radius error Δ R T . The rotation angle error γ and the tooth line radius error Δ R T have a bigger influence on the maximum load; the cutter errors mainly affect the load distribution coefficient of the single-tooth meshing area. Except for the tooth line radius error Δ R T , all cutter errors make the amplitude of the load transmission error increase. These research results are helpful for the performance improvement and service life study of the VH-CATT cylindrical gears.
Source: Mechanical sciences
Authors: Dengqiu Ma, Jianbing Long, Zhenglong Zhu
Institution: Zunyi Normal College
Language: English
Subfield: Mechanical Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $765
OpenAlex ID: W4414247832