CLC number: TH122
On-line Access: 2017-05-03
Received: 2016-03-14
Revision Accepted: 2016-08-31
Crosschecked: 2017-04-11
Cited: 0
Clicked: 4873
Citations: Bibtex RefMan EndNote GB/T7714
Yao-bin Zhuo, Xue-yan Xiang, Xiao-jun Zhou, Hao-liang Lv, Guo-yang Teng. A method for the global optimization of the tooth contact pattern and transmission error of spiral bevel and hypoid gears[J]. Journal of Zhejiang University Science A, 2017, 18(5): 377-392.
@article{title="A method for the global optimization of the tooth contact pattern and transmission error of spiral bevel and hypoid gears",
author="Yao-bin Zhuo, Xue-yan Xiang, Xiao-jun Zhou, Hao-liang Lv, Guo-yang Teng",
journal="Journal of Zhejiang University Science A",
volume="18",
number="5",
pages="377-392",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.A1600240"
}
%0 Journal Article
%T A method for the global optimization of the tooth contact pattern and transmission error of spiral bevel and hypoid gears
%A Yao-bin Zhuo
%A Xue-yan Xiang
%A Xiao-jun Zhou
%A Hao-liang Lv
%A Guo-yang Teng
%J Journal of Zhejiang University SCIENCE A
%V 18
%N 5
%P 377-392
%@ 1673-565X
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.A1600240
TY - JOUR
T1 - A method for the global optimization of the tooth contact pattern and transmission error of spiral bevel and hypoid gears
A1 - Yao-bin Zhuo
A1 - Xue-yan Xiang
A1 - Xiao-jun Zhou
A1 - Hao-liang Lv
A1 - Guo-yang Teng
J0 - Journal of Zhejiang University Science A
VL - 18
IS - 5
SP - 377
EP - 392
%@ 1673-565X
Y1 - 2017
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.A1600240
Abstract: In this paper, we present a method for the global optimization of the tooth contact pattern and transmission error of spiral bevel and hypoid gears, which includes three optimization objectives, three control parameters, and a complex-constrain genetic algorithm solving method. A new set of fundamental equations for pitch cone parameters of hypoid gear drives are established, as well as the relationships between pitch cone and curvature parameters. Based on this theory, three control parameters are selected to determine the pinion tooth surface. A hypoid gear drive is chosen for case studies. The results verify that the optimization methodology can achieve the expected optimization objectives and has good convergence. Correlations between optimization objectives and control parameters are discussed. Furthermore, a finite element model of a simplified hypoid gear drive system is established and its quasi-static meshing characteristics analyzed. The results again confirm the correctness of the optimization method. The effects of torque load on the contact pattern and transmission error are discussed. The results provide a theoretical reference for geometric calculations, quasi-static analysis, and optimal design of spiral bevel and hypoid gears.
This paper covers a proposal of a global optimization methodology of the tooth contact pattern and transmission error of spiral bevel and hypoid gears.
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