Abstract
Due to the complex metal flow in the cold extrusion of sun gear, the teeth accuracy of formed sun gear is poor. In order to improve the accuracy of extruded sun gear, a precision sizing method was proposed in this study. Finite element simulation for predicting tooth deviations of finished sun gear was performed using DEFORM, and the influences of key process parameters such as the sizing amount of external gear, interference value of internal spline, die bearing length, and friction factor on gear deviations were examined. The simulation results reveal that the accuracy of extruded sun gear can be significantly improved with the sizing amount of external gear as 0.2 mm, spline interference value as 0.10 mm, die bearing length as 19 mm, and friction factor as 0.12. Finally, experimental investigation was carried out by the developed precision shaping method. The experimental results show that the profile accuracy of external gear after cold shaping operation is the seventh, the gear lead accuracy is the eighth, and the total M value deviation of internal spline is reduced to 0.07 mm, which proves the feasibility of precision sizing method and the correctness of numerical simulation results.
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Abbreviations
- f α :
-
Single profile deviation of external gear
- F α :
-
Total profile deviation of external gear
- F β :
-
Total helix deviation of external gear
- Q :
-
Accuracy grade of external gear
- M :
-
M value of internal spline
- F M :
-
Total M value deviation of internal spline
- T L :
-
Left tooth thickness of external gear
- T R :
-
Right tooth thickness of external gear
- ΔL 1 :
-
Sizing amount of external gear
- ΔL 2 :
-
Interference value of internal spline
References
Zhang C, Shang X, Xiang R (2011) Study on cold extrusion process and die for vehicle sleeve gear with spline. Adv Mater Res 189-193:2832–2837. https://doi.org/10.4028/www.scientific.net/AMR.189-193.2832
Hu C, Wang K, Liu Q (2007) Study on a new technological scheme for cold forging of spur gears. J Mater Process Technol 187-188:600–603. https://doi.org/10.1016/j.jmatprotec.2006.11.037
Sun X-L, Zhuang X-C, Yang F-C, Zhao Z (2019) Reduction of die roll height in duplex gears through a sheet-bulk metal forming method. Adv Manuf 7(1):42–51. https://doi.org/10.1007/s40436-018-00245-y
Plancak M, Barisic B, Grizelj B (2008) Different possibilities of process analysis in cold extrusion. Key Eng Mater 367:209–214. https://doi.org/10.4028/www.scientific.net/KEM.367.209
Gronostajski Z, Hawryluk M (2008) The main aspects of precision forging. Archives Civil Mech Eng 8(2):39–55. https://doi.org/10.1016/s1644-9665(12)60192-7
Politis DJ, Politis NJ, Lin J, Dean TA (2018) A review of force reduction methods in precision forging axisymmetric shapes. Int J Adv Manuf Technol 97(5-8):2809–2833. https://doi.org/10.1007/s00170-018-2151-2
Cai J, Dean TA, Hu ZM (2004) Alternative die designs in net-shape forging of gears. J Mater Process Technol 150(1-2):48–55. https://doi.org/10.1016/j.jmatprotec.2004.01.019
Choia JC, Choi Y (1999) Precision forging of spur gears with inside relief. Int J Mach Tools Manuf 39(10):1575–1588. https://doi.org/10.1016/S0890-6955(99)00015-2
Tiernan P, Hillery MT, Draganescu B, Gheorghe M (2005) Modelling of cold extrusion with experimental verification. J Mater Process Technol 168(2):360–366. https://doi.org/10.1016/j.jmatprotec.2005.02.249
Michalczyk J, Wiewiórowska S, Muskalski Z (2018) The development and modeling of an innovative process of forming the internal toothing of flange coupling spline sleeves. Arch Metall Mater 63(4):1981–1986. https://doi.org/10.24425/amm.2018.125133
Song J-H, Im Y-T (2007) The applicability of process design system for forward extrusion of spur gears. J Mater Process Technol 184(1-3):411–419. https://doi.org/10.1016/j.jmatprotec.2006.12.009
Kanani JB, Lalwani DI (2020) An experimental and FEA investigation of near-net-shape cold forging of spur gear. Mater Today: Proceedings 44:92–98. https://doi.org/10.1016/j.matpr.2020.07.422
Zuo B, Wang B-y, Li Z, Zheng M-n, Zhu X-x (2015) Design of relief-cavity in closed-precision forging of gears. J Cent South Univ 22(4):1287–1297. https://doi.org/10.1007/s11771-015-2645-0
Silveira FD, Schaeffer L (2018) Evaluation of different levels of prestressing for cold forging tools by numerical simulation analysis. Int J Adv Manuf Technol 98(9-12):2487–2495. https://doi.org/10.1007/s00170-018-2351-9
Kharka V, Jain NK, Gupta K (2020) Influence of MQL and hobbing parameters on microgeometry deviations and flank roughness of spur gears manufactured by MQL assisted hobbing. J Mater Res Technol 9(5):9646–9656. https://doi.org/10.1016/j.jmrt.2020.06.085
Zuo B, Wang B, Li Z, Li N, Lin J (2016) An investigation of involute and lead deflection in hot precision forging of gears. Int J Adv Manuf Technol 88(9-12):3017–3030. https://doi.org/10.1007/s00170-016-9003-8
Franulovic M, Markovic K, Vrcan Z, Soban M (2017) Experimental and analytical investigation of the influence of pitch deviations on the loading capacity of HCR spur gears. Mech Mach Theory 117:96–113. https://doi.org/10.1016/j.mechmachtheory.2017.07.006
Behrens BA, Doege E (2004) Cold sizing of cold- and hot-formed gears. CIRP Ann 53(1):239–242. https://doi.org/10.1016/s0007-8506(07)60688-x
Stone ERH, Cai J, Hu ZM, Dean TA (2003) An exercise in cold ironing as the post-forging operation for net-shape manufacture. J Mater Process Technol 135(2-3):278–283. https://doi.org/10.1016/s0924-0136(02)00858-0
Li Z, Wang B, Ma W, Yang L (2016) Comparison of ironing finishing and compressing finishing as post-forging for net-shape manufacturing. Int J Adv Manuf Technol 86(9-12):3333–3343. https://doi.org/10.1007/s00170-016-8424-8
Chang YC, Hu ZM, Kang BS, Dean TA (2002) A study of cold ironing as a post-process for net-shape manufacture. Int J Mach Tools Manuf 42(8):945–952. https://doi.org/10.1016/S0890-6955(02)00022-6
Li S, Ji H, Wang B, Mu Y (2019) Numerical analysis and experimental validation of conjunction gear via hot forging-upsetting finishing-radial extrusion. Archives Civil Mech Eng 19(2):391–404. https://doi.org/10.1016/j.acme.2018.11.006
Liu GH, Zhong ZP, Bian Y, Li Q (2012) Numerical simulation on precision forging process for spur-gear with large module. Adv Mater Res 538-541:927–931. https://doi.org/10.4028/www.scientific.net/AMR.538-541.927
Funding
This research was financially supported by the National Key Research and Development Program of China (No.2018YFB1106504) and Postdoctoral Science Foundation of Chongqing Natural Science Foundation (No. cstc2020jcyj-bshX0006).
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Zuofa Liu and Wenjie Feng conceived and designed the study. Zuofa Liu, Zhiyuan Qu, Xi Wang, and Jie Zhou performed the experiments. Jie Zhou provided funding. Zuofa Liu and Jie Zhou wrote the paper. Wenjie Feng, Qiang Liang, Zhiyuan Qu, and Xi Wang reviewed and edited the manuscript. All authors read and approved the manuscript.
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Liu, Z., Zhou, J., Qu, Z. et al. A precision sizing method for cold extruded sun gear with internal-external tooth shapes. Int J Adv Manuf Technol 115, 3331–3344 (2021). https://doi.org/10.1007/s00170-021-07405-8
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DOI: https://doi.org/10.1007/s00170-021-07405-8