Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear
Guo, Rui1; Wei, Yongqiao1; Liu, Yongping1; Li, Dawei1; Yang, Dong1; Zhao, Gang2
2021-09-30
发表期刊MECHANICAL SCIENCES
ISSN2191-9151
卷号12期号:2页码:923-932
摘要The variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear is a new type of gear. In order to research the contact characteristics of the VH-CATT cylindrical gear, tooth surface mathematical models of this kind of gear pair are derived based on the forming principle of the rotating double-edged cutting method with great cutter head in this regard. Then, according to the differential geometry theory and Hertz theory, the formula of the induced normal curvature and equation of the contact ellipse are derived based on the condition of continuous tangency of two meshing surfaces, which proves that the contact form of VH-CATT cylindrical gear is point contact. The present work establishes analytical solutions to research the effect of different parameters for the contact characteristic of the VH-CATT cylindrical gear by incorporating elastic deformation on the tooth surface, which have shown that the module, tooth number and cutter radius have a crucial effect on the induced normal curvature and contact ellipse of the VH-CATT cylindrical gear in the direction of tooth trace and tooth profile. Moreover, a theoretical analysis solution, a finite element analysis and the gear tooth contact pattern are carried out to verify the correctness of the computerized model and to investigate the contact type of the gear; it is verified that the contact form on the concave surface of the driving VH-CATT cylindrical gear rotates from dedendum at the heel to the addendum at toe and is an instantaneous oblique ellipse due to elastic deformation of the contact tooth profile, and the connecting line of the ellipse center is the contact trace path. It is indicated that the research results are beneficial for research on tooth break reduction, pitting, wear resistance and fatigue life improvement of the VH-CATT cylindrical gear. The results also have a certain reference value for development of the VH-CATT cylindrical gear.
DOI10.5194/ms-12-923-2021
收录类别SCOPUS ; SCIE
语种英语
WOS研究方向Engineering
WOS类目Engineering, Mechanical
WOS记录号WOS:000703732700001
出版者COPERNICUS GESELLSCHAFT MBH
来源库WOS
引用统计
被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/148758
专题附属中学
机电工程学院
土木工程学院
通讯作者Wei, Yongqiao
作者单位1.Lanzhou Univ Technol, Sch Mech & Elect Engn, Lanzhou 730050, Peoples R China;
2.Hubei Key Lab Mech Transmiss & Mfg Engn, Wuhan 430081, Peoples R China
第一作者单位兰州理工大学
通讯作者单位兰州理工大学
第一作者的第一单位兰州理工大学
推荐引用方式
GB/T 7714
Guo, Rui,Wei, Yongqiao,Liu, Yongping,et al. Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear[J]. MECHANICAL SCIENCES,2021,12(2):923-932.
APA Guo, Rui,Wei, Yongqiao,Liu, Yongping,Li, Dawei,Yang, Dong,&Zhao, Gang.(2021).Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear.MECHANICAL SCIENCES,12(2),923-932.
MLA Guo, Rui,et al."Analytical solution to contact characteristics for a variable hyperbolic circular-arc-tooth-trace cylindrical gear".MECHANICAL SCIENCES 12.2(2021):923-932.
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