Original scientific paper

https://doi.org/10.21278/TOF.474044222

Influence of Cutter Errors on Forming Accurate Variable Hyperbolic Circular Arc Tooth Trace Cylindrical Gears

Dengqiu Ma ; School of Engineering and Technology, Zunyi Normal College, Zunyi, China; School of Mechanical and Electrical Engineering, Lanzhou University of Technology Lanzhou, China
Yongping Liu ; School of Mechanical and Electrical Engineering, Lanzhou University of Technolog, Lanzhou, China
Zhenhuan Ye ; School of Engineering and Technology, Zunyi Normal College, Zunyi, China
Dawei Li ; School of Mechanical and Electrical Engineering, Lanzhou University of Technolog, Lanzhou, China
Yang Wu ; School of Mechanical Engineering, Sichuan University, Chengdu, China

Abstract

The cutter error is an important factor in the accurate forming of the variable hyperbolic circular arc tooth trace (VH-CATT) cylindrical gears. Also, the study of the relationship between the cutter error and the forming of accurate teeth is beneficial for the gear modification design and the improvement in contact performance. Firstly, based on the principle of forming VH-CATT cylindrical gears, the sources of error in the tooth forming related to accuracy were analysed, including the errors in the cutter position and the cutter geometry, such as the error of rotation around the x-axis g, the error of rotation around the y-axis b, the error of translation along the x-axis Δx, the error of translation along the y-axis Δy, the error of translation along the z-axis Δz, the pressure angle error Δa and the tooth line radius error ΔRT. Next, based on the meshing theory and processing, an ideal tooth surface equation and a tooth surface equation with cutter errors were derived, and the tooth surface reconstruction was done. Then, the gear tooth thickness error was defined to characterize the accuracy of gear forming. Finally, the influences of the cutter error on the tooth thickness error and gear contact were investigated. The study shows that all cutter errors have certain influence on the tooth thickness error, contact area and load distribution; Δx has basically no effect on the gear tooth thickness error; Δx and g make the actual meshing point deviate from the middle section. The study content and the applied methods are helpful in the tooth surface error traceability, the counter-adjustment of the tooth surface processing and the modification design. This study provides also a basis for gear design and load-bearing contact analysis.

Keywords

cutter error; variable hyperbolic circular arc tooth trace cylindrical gear; forming accuracy; tooth surface equation; tooth thickness error

Hrčak ID:

308277

URI

https://hrcak.srce.hr/308277

Publication date:

28.9.2023.

Visits: 415 *