Influence of radial forging process on strain inhomogeneity of hollow gear shaft using finite element method and orthogonal design

Abstract

Due to the current trend towards lightweight design in automotive industry, hollow stepped gear shafts for automobile and its radial forging process are widely investigated. Utilizing coupled finite element thermo-mechanical model, radial forging process of a hollow stepped gear shaft for automobile was simulated. The optimal combination of three process parameters including initial temperature, rotation rate and radial reduction was also selected using orthogonal design method. To examine the strain inhomogeneity of the forging workpiece, the strain inhomogeneity factor was introduced. The results reveal that the maximum effective strain and the minimum effective strain appeared in the outermost and innermost zones of different cross sections for the hollow stepped gear shaft, respectively. Optimal forging parameters are determined as a combination of initial temperature of 780 °C, rotation rate of 21°/stroke and radial reduction of 3 mm.

Keywords

radial forging process / strain inhomogeneity / orthogonal design / coupled thermo-mechanical analysis / finite element method

References

[1] FanL X, WangZ G, WangH. 3D finite element modeling and analysis of radial forging processes [J]. Journal of Manufacturing Processes, 2014, 16(2): 329-334

[2] SanjariM, TaheriA K, MovahediM R. An optimization method for radial forging process using ANN and Taguchi method [J]. International Journal of Advanced Manufacturing Technology, 2009, 40(7): 776-784 8

[3] KhayatzadehS, PoursinaM, GolestanianH. A simulation of hollow and solid products in multi-pass hot radial forging using 3D-FEM method [J]. International Journal of Material Forming, 2008, 1(1): 371-374

[4] WangK, YuT, SongY, LiH X, LiuM D, LuoR, ZhangJ Y, FangF S, LinX D. Effects of MnS inclusions on the banded microstructure in non-quenched and tempered steel [J]. Metallurgical and Materials Transactions B, 2019, 50(3): 1213-1224

[5] SunZ C, HanF X, WuH L, YangH. Tri-modal microstructure evolution of Ta15 Ti-alloy under conventional forging combined with given subsequent heat treatment [J]. Journal of Materials Processing Technology, 2016, 229: 72-81

[6] XiaoM L, LiF G, ZhaoW, YangG L. Constitutive equation for elevated temperature flow behavior of TiNiNb alloy based on orthogonal analysis [J]. Materials & Design, 2012, 35: 184-193

[7] YuJ Q, LiY, TengF, LiangJC, LinX F, LiangC, ChenG Y, SunG P. Research on the cross section forming quality of three-dimensional multipoint stretch forming parts [J]. Advances in Materials Science and Engineering, 2018, 2018: 1-11

[8] AmeliA, MovahhedyM R. A parametric study on residual stresses and forging load in cold radial forging process [J]. International Journal of Advanced Manufacturing Technology, 2007, 33(1): 7-17 2

[9] AzariA, PoursinaM, PoursinaD. Radial forging force prediction through MR, ANN, and ANFIS models [J]. Neural Computing and Applications, 2014, 25(3): 849-858

[10] SahooA K, TiwariM K, MilehamA R. Six sigma based approach to optimize radial forging operation variables [J]. Journal of Materials Processing Technology, 2008, 202(1): 125-136

[11] JangD Y, LiouJ H. Study of stress development in axi-symmetric products processed by radial forging using a 3-D non-linear finite-element method [J]. Journal of Materials Processing Technology, 1998, 74(1–3): 74-82

[12] SanjariM, SaidiP, TaheriA K, Hossein-ZadehM. Determination of strain field and heterogeneity in radial forging of tube using finite element method and microhardness test [J]. Materials & Design, 2012, 38(6): 147-153

[13] ZhuF, WangZ, LvM. Multi-objective optimization method of precision forging process parameters to control the forming quality [J]. International Journal of Advanced Manufacturing Technology, 2016, 83(9–12): 1-9

[14] HUMPHREYS F J, HATHERLY M. Recrystallization and related annealing phenomena [M]. 2nd ed. Elsevier, 2004: 219–224. DOI: https://doi.org/10.1016/B978-008044164-1/50015-3.

[15] WuY J, DongX H. An upper bound model with continuous velocity field for strain inhomogeneity analysis in radial forging process [J]. International Journal of Mechanical Sciences, 2016, 115–116: 385-391

[16] DongL Y, LanJ, ZhuangW H. Homogeneity of microstructure and Vickers hardness in cold closed-die forged spur-bevel gear of 20CrMnTi alloy [J]. Journal of Central South University, 2015, 22(5): 1595-1605

[17] LindhE, HutchinsonB, UeyamaS. Effect of redundant deformation on recrystallisation behaviour of copper [J]. Scripta Metallurgica Et Materialia, 1993, 29(3): 347-352

[18] KoD C, KimD H, KimB M. Application of artificial neural network and Taguchi method to preform design in metal forming considering workability [J]. International Journal of Machine Tools & Manufacture, 1999, 39(5): 771-785

[19] QinX-peng. Modelling and simulation of contact force in cold rotary forging [J]. Journal of Central South University, 2014, 21(1): 35-42

[20] LahotiG D, AltanT. Analysis of the radial forging process for manufacturing rods and tubes [J]. Journal of Engineering for Industry, 1976, 98(1): 265-271

[21] LahotiG D, LiuzziL, AltanT. Design of dies for radial forging of rods and tubes [J]. Journal of Mechanical Working Technology, 1977, 1(1): 99-109

[22] GhaeiA, MovahhedyM R, TaheriA K. Study of the effects of die geometry on deformation in the radial forging process [J]. Journal of Materials Processing Technology, 2005, 170(1): 156-163

[23] SanjariM, TaheriA K, GhaeiA. Prediction of neutral plane and effects of the process parameters in radial forging using an upper bound solution [J]. Journal of Materials Processing Technology, 2007, 186(1): 147-153

[24] WuY J, DongX H, YuQ. Upper bound analysis of axial metal flow inhomogeneity in radial forging process [J]. International Journal of Mechanical Sciences, 2015, 93: 102-110

[25] WuY, DongX, YuQ. An upper bound solution of axial metal flow in cold radial forging process of rods [J]. International Journal of Mechanical Sciences, 2014, 85(8): 120-129

[26] HsiangS H, HoH L. Investigation of the influence of various process parameters on the radial forging processes by the finite element method (FEM) [J]. International Journal of Advanced Manufacturing Technology, 2004, 23(9): 627-635 10

[27] RongL, NieZ R, ZuoT Y. 3D finite element modeling of cogging-down rotary swaging of pure magnesium square billet—Revealing the effect of high-frequency pulse stroking [J]. Materials Science & Engineering A, 2007, 464(1): 28-37

[28] LiuX R, ZhouX D. The forging penetration efficiency of C45 steel stepped shaft radial forging with GFM forging machine [J]. Advanced Materials Research, 2011, 154–155: 593-596