When the gearbox body interference is connected to the ring gear, prestressing occurs in the ring gear, which has a significant impact on the strength and life of the gear. Research on the prestressing of the inner ring gear is in the preliminary stage, and the distribution rule of the prestressing and the influence of each parameter on the interference prestressing have not been derived. In this paper, based on the method of calculating the prestressing of the thick cylinder in interference fit, the ring gear is found to be equivalent to a thick cylinder, and the distribution rule of prestressing of the ring gear in the interference fit is inferred. Then, by modeling and analyzing the gearbox body and ring gear in the interference fit using ABAQUS, the distribution rule of prestressing the ring gear in the interference fit is obtained through a numerical simulation. Finally, the prestressing of the ring gear in the interference fit is measured using X-ray diffraction, and the distribution rule of prestressing of the ring gear in the interference fit is obtained through analysis. Compared with the distribution rule of prestressing in theory, numerical simulation, and experiment, the theoretical distribution rule of prestressing is amended through a statistical method, and a more accurate formula of prestressing is obtained. Through the calculation of the stress and bending moment in the dangerous section of the ring gear through prestressing, the formula for checking the tooth root flexural fatigue strength in the interference fit prestressing is inferred. This research proposes a tooth root bending strength conditional formula for the inner ring gear of the interference fit, which serves as a guide for the design and production of the actual interference joint inner ring gear.
Shiping Yang
,
Yixing Ji
,
Yulin Mo
,
Tianyu Xia
. Effects of Prestressing of the Ring Gear in Interference Fit on Flexural Fatigue Strength of Tooth Root[J]. Chinese Journal of Mechanical Engineering, 2019
, 32(4)
: 71
-71
.
DOI: 10.1186/s10033-019-0381-3
[1] Standardization Administration of the People's Republic of China. GB/T 5371-2004 Rules for content, limits and fits-the calculation and selection of interference fits. Beijing: China Standard Publishing House, 2004. (in Chinese)
[2] German Institute of Standardization. DIN7190-2001 Rules for content, interference fits-calculation and design rules. Germany: German Institute of Standardization, 2001.
[3] Iglesias Miguel, Fernández Del Rincón Alfonso, De-Juan Ana Magdalena, et al. Planetary gear profile modification design based on load sharing modelling. Chinese Journal of Mechanical Engineering, 2015, 28(4): 810-820.
[4] X Y Xu, C C Zhu, H J Liu, et al. Load sharing research of planetary gear transmission system of wind turbine gearbox with flexible pins. Journal of Mechanical Engineering, 2014, 50(11): 43-49. (in Chinese)
[5] H Zhu, W Cheng, G H Jia, et al. Dynamic performance simulation on wind-power pitch planetary reducer. Journal of Central South University (Science and Technology), 2011, 10 (42): 3059-3065. (in Chinese)
[6] Y J Jiang. The calculation of prestresses of the ring in the thermal-coordinated gear. Inner Mongolia Science Technology and Economy, 2005, 5: 105-106. (in Chinese)
[7] Y Zou, F C Sun, W Q Wang, et al. Study on the relation between gear's hole diameter and prestressing force in interference fit. Journal of Mechanical Transmission, 2003, 27(6): 41-42. (in Chinese)
[8] X Y Yan, C X Hong, H Liu, et al. Prestresses of the ring in the thermal-coordinated gear. Journal of Electric Power, 1994, 9(2): 6-10. (in Chinese)
[9] C Q Zhu. Prestress analysis of keyless connection sleeve in hot assembly based on ANSYS. Shandong Metallurgy, 2013, 35(4): 70-72. (in Chinese)
[10] L Zhao, H C Wu, L M Zhao, et al. Prestressed mode analysis of planetary gear train in automatic hydraulic transmission based on ANSYS. Mechanical Engineer, 2015, (08): 31-33. (in Chinese)
[11] G F Wang. Analysis of Influence of prestressing on interference fit of dump truck axle. Internal Combustion Engine & Parts, 2018, (16): 65-67. (in Chinese)
[12] H Y Kim, C Kim, W B Bae. Development of optimization technique of warm shrink fitting process for automotive transmission parts (3D FE analysis). Journal of Materials Processing Technology, 2007, 187: 458-462.
[13] Rahman Seifi, Kaveh Abbasi. Friction coefficient estimation in shaft/bush interference using finite element model updating. Engineering Failure Analysis, 2015, 57: 310-322.
[14] D S Hao, D L Wang. Finite-element modeling of the failure of interference-fit planet carrier and shaft assembly. Engineering Failure Analysis, 2013, 33: 184-196.
[15] Frederic Lanoue, Aurelian Vadean, Bernard Sanschagrin. Fretting fatigue strength reduction factor for interference fits. Simulation Modelling Practice and Theory, 2011, 19: 1811-1823.
[16] X Q Xu, H H Zhao. Nonlinera FEM analysis of the contact stress on interference fitting surfaces. Machine Design and Research, 2000, (1): 33-35. (in Chinese)
[17] Y Zhang, B McClain, X D Fang. Design of interference fits via finite element method. International Journal of Mechanical Sciences, 2000, 42: 1835-1850.
[18] L Amanan, K R Krishna, R Sriraman. Thermo-mechanical finite element analysis of a rail wheel. International Journal of Mechanical Sciences, 1999, 41: 487-505.
[19] Z B Wang. Research on lightweight design technology for large scale yaw and pitch gearboxes. Zhengzhou: Zhengzhou Machinery Research Institute, 2012. (in Chinese)
[20] Z H Zhang, Z M Liu, H P Zhang, et al. The structural analysis of single planet carrier for yaw and pitch gearbox. Journal of Mechanical Engineering, 2012, 48(6): 68-70. (in Chinese)
[21] L G Pu, G D Chen. Design of machinery. Beijing: Higher Education Press, 2012. (in Chinese)
[22] D Q Xu, R W Sun. The design, calculation, assembly and disassembly of the interference fit. Beijing: China Metrology Press, 1992. (in Chinese)
[23] R J Teng, Y B Zhang, X J Zhou, et al. Mechanical properties and design method of cylindrical interference fit. Journal of Mechanical Engineering, 2012, 48(13): 160-166. (in Chinese)
[24] Z X Liu, L Wang. Experimental design & data processing. Beijing: Chemical Industry Press, 2015. (in Chinese)
[25] T H Zhang, Y Wang, X F Fang, et al. Research status and development of residual stress detection and elimination methods. Journal of Netshape Forming Engineering, 2017, 9(5): 122-127. (in Chinese)
[26] Ines Fernandez Pariente, Mario Guagliano. Contact fatigue damage analysis of shot peened gears by means of X-ray measurements. Engineering Failure Analysis, 2009, 16: 964-971.
[27] Standardization Administration of the People's Republic of China. GB/T 3480.5-2008 Rules for content, calculation of load capacity of spur and helical gears-part 5: strength and quality of materials. Beijing: China Standard Publishing House, 2008. (in Chinese)
[28] Vincent Savaria, Florent Bridier, Philippe Bocher. Predicting the effects of material properties gradient and residual stresses on the bending fatigue strength of induction hardened aeronautical gears. International Journal of Fatigue, 2016, 85(4): 70-84.
[29] Gabriel Marsh, Colin Wignall, Philipp R Thies, et al. Review and application of Rainflow residue processing techniques for accurate fatigue damage estimation. International Journal of Fatigue, 2016, 82(3): 757-765.
[30] Mir Ali Ghaffari, Eric Pahl, Shaoping Xiao. Three dimensional fatigue crack initiation and propagation analysis of a gear tooth under various load conditions and fatigue life extension with boron/epoxy patches. Engineering Fracture Mechanics, 2015, 135: 126-146.
