Recent Patents on Mechanical Engineering

Author(s): Lili Zhu*, Yuting Shen, Xu Liang and Bo Wu

DOI: 10.2174/2212797616666230817101903

Time-varying Reliability Analysis of Contact Fatigue Strength for Nutation Face Gear Transmission

Page: [283 - 295] Pages: 13

  • * (Excluding Mailing and Handling)

Abstract

Background: Nutation face gear transmission is a patent about a new type of transmission based on meshing between two face gears. It replaces spur gear with internal face gear to form a "face-face" meshing gear pair and actualizes its deceleration function by combining the nutation principle, which has the advantages of both face gear and nutation drive.

Objective: The purpose of this paper is to establish the time-varying reliability calculation model of contact fatigue strength based on fractal contact theory, so as to improve the reliability, safe service and further optimization design of the nutation face gear transmission.

Methods: The time-varying uncertainties of the contact stress and the allowable contact stress of the face gear teeth are analyzed respectively, and then the time-varying reliability model of the contact fatigue strength is established. Finally, the drift rate and fluctuation rate of each random variable are simulated using the Monte Carlo simulation method to obtain the time-varying reliability of the contact fatigue strength for the nutation face gear drive.

Results: The results show that the general trend of geometric Brownian motion locus of each random variable is consistent with the actual situation.

Conclusion: For the given example of the nutation face gear transmission device, the reliability of the contact fatigue strength of the planetary face gear meshing with the fixed face gear and the rotating face gear within one year is calculated to be 0.9912 and 0.9856 respectively, and the maximum vibration noise is about 68dB, which meets the expected value.

[1]
Wang GX, Deng J, Wang P, Zhu LL. A design method of internal tangent face gear. Patent CN1061268442016, 2016.
[2]
Wang GX, Deng J, Wang P, Li LJ. Meshing principle and dynamic simulation of nutation drive with face-gear. J Dalian Med Univ 2017; 38(2): 48-54.
[3]
Wang G, Zhu L, Wang P, Deng J. Meshing and bearing analysis of nutation drive with face gear. Recent Pat Mech Eng 2020; 13(4): 352-65.
[http://dx.doi.org/10.2174/2212797613999200420161031]
[4]
Wang GX, Zhu LL, Wang P. Analysis of tooth stiffness of nutation face gear. Eng Comput 2020.
[http://dx.doi.org/10.1108/EC-11-2019-0522]
[5]
Zhu LL, Wang GX, Li LJ, Wang JY. Stress analysis and FEA prediction of nutation drive with face gear. Recent Pat Mech Eng 2022.
[6]
Rao SS, Das G. Reliability based optimum design of gear trains. J Mech Transm Autom Des 1984; 106(1): 17-22.
[http://dx.doi.org/10.1115/1.3258551]
[7]
Al-Shareedah EM, Alawi H. Reliability analysis of bevel gears with and without back support. Mechanism Mach Theory 1987; 22(1): 13-20.
[http://dx.doi.org/10.1016/0094-114X(87)90071-1]
[8]
Nagamura K, Terauchi Y, Martowibowo SY. Study on gear bending fatigue strength design based on reliability engineering. JSME Int J Ser C Dyn Control, Robotics, Des Manuf 1994; 37(4): 795-803.
[http://dx.doi.org/10.1299/jsmec1993.37.795]
[9]
Coy JJ, Zaretsky EV. Life analysis of helical gear sets using Lundberg-Palmgren theory. NASA TN D-8045
[10]
Xie GB. Fuzzy reliablity optimization design with multispecification restriction of gear transmission mechanism and evaluation. In: Chongqing: Chongqing Jiaotong University. 2015; p. 6.
[11]
Chen WH, Zheng CP, Li QZ, Pan J, He QC, Pan XD. Gear reliability analysis of 2.5MW wind turbine gearbox based on Copula function. Chinese J Eng Design 2015; 22(5): 425-30.
[12]
Wu F. Time-varying reliablility analysis and design for multiple failure mode of the filtering reducer.In: Chengdu University of Electronic Science and Technology of China. 2016; p. 6.
[13]
Wang CY, Ji BFJW. Optimal design of the fuzzy reliability of double circular arc gear based on MATLAB. J Mechanical Transmission 2016; 40(4): 106-9.
[14]
Li HX, Cho H, Sugiyama H, Choi KK, Gaul NJ. Reliability-based design optimization of wind turbine drivetrain with integrated multibody gear dynamics simulation considering wind loaduncertainy. In: Springer-Verlag Berlin Heidelberg. 2017.
[http://dx.doi.org/10.1007/s00158-017-1693-5]
[15]
Kim SW, Lee YS, Jang DW, Choi J, Lee SB. Fatigue life evaluation of pinion gears for the reliability of pitch systems in wind turbines. J Mech Sci Technol 2017; 31(2): 753-8.
[http://dx.doi.org/10.1007/s12206-017-0126-0]
[16]
Qu YJ, Yang SR, Shi YY, Liu HN. Research and application on reliability calculation model of a gear based on strength reduction. Aeroengine 2017; 43(5): 35-8.
[17]
Hammoudi A, Ferhat H, Djeddou F. Sensitivity measurment and reliability based design of a cylindrical spur gear. Setif, Algeria. 2018.International Conference on Industrials Metrology and Maintenance.
[18]
Wang CG. Sensitivity analysis of reliability of gear in wind turbine gear-box based on dynamics. Journal of Mechanical Strength 2018; 40(4): 895-900.
[19]
Ma D, Cun LG, Liu YH, Lin YZ. Calculation method improvement for contact fatigue reliability of cylindrical helical gear. Journal of Mechanical Strength 2018; 40(6): 1395-8.
[20]
Bai EJ, Xie LY, Hu JX. Gear trains reliability estimation with failure-dependence of meshing tooth-pairs. Journal of Xi’an Jiaotong University 2018; 52(5): 38-43.
[21]
Bobrytskyi SV, Logvinenko OA, Anatskyi OO, Yehorova IM. Assessment of modern rolling stock pulling drive gear reliability. In: Kharkiv, Ukraine: Materials Science and Engineering 2019.
[http://dx.doi.org/10.1088/1757-899X/708/1/012002]
[22]
Yu G, Kang R, Lin YH, Zhang QY, Zu TP. Reliability modeling and analysis of gear based on belief reliablility. J Syst Eng Electron 2019; 41(10): 2385-91.
[23]
Zhou CN, Xiao NC, Zuo MJ, Gao WZ. An active kriging-based learning method for hybrid reliability analysis. IEEE Trans Reliab 2021; 1-10.
[24]
Cheng DX. Handbook of mechanical design. In: Beijing: Chemitry Industry Press 2016.
[25]
Shen YT. Research on reliability of contact fatigue strength of nutation drive with face-gears. In: Dalian: Dalian Jiaotong University 2021; p. 6.
[26]
Yang J, Wang LX. A einstein and the mathematical theory of brownian motion. J Northwest Uni 2006; 36(1): 169-72.
[27]
Kiyoshi I. Stochastic Process. Shanghai: Shanghai Scientific & Technical Publishers 1961.