Abstract
The curve-face gear pair is a new type of gear pair, and it has not been widely applied in many occasions as other kinds of gear pairs. In order to solve the bending fatigue life problem of this new gear pair with time-varying characteristics, a new theoretical calculation model was established. According to the loading state in actual operation, the single-tooth force model of curve-face gear pair was built, the effective loading of curve-face gear was analyzed, and loading spectrum in a period tooth was obtained. By building tooth equivalent cantilever beam model, the single-tooth bending stress calculation formula was derived, and the bending stress spectrums in tooth different sections were analyzed, meanwhile stress spectrum of bending fatigue hazard section in a period tooth was obtained. Combining the Miner’s rule and bending stress spectrum of dangerous section position, the bending fatigue life calculation method of curve-face gear was proposed. Through concrete example analysis, the bending fatigue life of curve-face gear was calculated. According to dynamic load spectrum extracted by ADAMS and bending stress calculated by ANSYS Workbench, the fatigue damage distribution of curve-face gear was obtained by nCode DesignLife. By constructing curve-face gear pair running experimental platform, the dynamic tooth root bending stress was measured. Comparing the theoretical calculation, simulation, and experimental results, the error between experiment and theory is within 10%, so the theoretical calculation method of bending fatigue life of curve-face gear was verified.
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig1_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig2_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig3_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig4_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig5_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig6_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig7_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig8_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig9_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig10_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig11_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig12_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig13_HTML.png)
![](http://media.springernature.com/m312/springer-static/image/art%3A10.1007%2Fs40430-019-2082-3/MediaObjects/40430_2019_2082_Fig14_HTML.png)
Similar content being viewed by others
References
Lin C, Gong H (2012) Geometry design, three-dimensional modeling and kinematic analysis of orthogonal fluctuating gear ratio face gear drive. Proc Inst Mech Eng Part C 227:779–793. https://doi.org/10.1177/0954406212453382
Hou Y, Zhu R (2009) Research on tooth contact analysis of orthogonal face gear. Mach Build Autom 38:25–29
Lin C, Liu Y (2015) Characteristic analysis and application of composite motion curve-face gear pair. J Braz Soc Mech Sci 38:1797–1804
Wang Y, Lin C, Cai Z (2016) Bending stress analysis of orthogonal curve-face gear. J Adv Mech Des Syst Manuf 10:JAMDSM0015
Lin C, He C, Gu S (2017) Loaded tooth contact analysis of curve-face gear pair. Adv Mech Eng 9:1–10
Kramberger J, Šraml M, Potrč I et al (2004) Numerical calculation of bending fatigue life of thin-rim spur gears. Eng Fract Mech 71:647–656
Opalić M, Vučković K, Žeželj D et al (2011) Prediction of thin-rim gears bending fatigue crack initiation life. In: The international scientific conference—research and development of mechanical elements and systems/Miltenović, Vojislav
Bao H (2012) Research on the calculation methods of mechanics properties and fatigue life for involute spur gear. East China University of Science and Technology, Shanghai (in Chinese)
Bi-Qiang YU, Wei LI, Xue JH (2013) Prediction of bending fatigue life for gears based on dynamic load spectra. J Univ Sci Technol Beijing 35:813–817 (in Chinese)
Ye NH, Chen K, Qi YN et al (2012) Fatigue life analysis of bevel gear based on virtual load spectrum. J Hunan Univ 39:38–42 (in Chinese)
Wang Y, Tian Z, Hou L et al (2014) Three-dimensional crack analysis and fatigue life prediction of aero heavy-load face gear. J Beijing Univ Aeronaut Astronaut 40:148–153 (in Chinese)
Lei JB (2016) Dynamic simulation and fatigue life analysis of orthogonal face gear pair. J Eng Thermal Energy Power 31:59–65 (in Chinese)
Huang C (2017) Tooth root bending strength analysis and experimental study of curve-face gear. Chongqing University, Chongqing
Zhou H (2013) Research on method of calculation and experiment of bending stress of orthogonal face gear drive. Nanjing University of Aeronautics and Astronautics, Nanjing
Chen CY (2002) Fatigue and fracture. Huazhong University of Science and Technology Press (in Chinese)
Tao J, Wang X, Tan J (1997) Reliability of gear-tooth bending fatigue strength for through hardened and tempered steel 40Cr. J Univ Sci Technol Beijing 5:482–484 (in Chinese)
Acknowledgements
The authors would like to appreciate the supports from the National Natural Science Foundation of China (51675060).
Author information
Authors and Affiliations
Corresponding author
Additional information
Technical Editor: Fernando Antonio Forcellini, Dr.
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Lin, C., Li, P. & Liu, W. Analysis and calculation of bending fatigue life of curve-face gear. J Braz. Soc. Mech. Sci. Eng. 42, 3 (2020). https://doi.org/10.1007/s40430-019-2082-3
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s40430-019-2082-3