.1520. 北京科技大学学报 第35卷 表6入分别为0和0.9三节点的径向和切向位移对比 Table 6 Radial and tangent displacement comparison between A=0 and 0.9 道次 Vo /mm V0.9/mm V-o/mm Vr0.9/mm A B C A A B A B 1-1.03 -0.41 0.16 -1.03 -0.43 0.16 -0.012 -0.41 -0.01 -0.012-0.41 -0.01 2 -0.65 -2.27 -3.40 -0.65 -2.38 -3.38 0.033 1.12 0.05 0.033 1.07 0.05 3-3.85 -2.07 -0.37 -3.82 -2.18 -0.36 -0.056 -1.40 -0.011 -0.065 -1.32 -0.021 4-0.34 -2.06 -3.82 -0.34 -2.17 -3.79 0.015 1.53 0.038 -0.026 1.31 0.060 5-3.61 -2.05 -0.44 -3.59 -2.157 -0.43 -0.014 -1.56 -0.010 -0.041 -1.28 0.024 -0.06 -1.45 -2.87 -0.06 -1.527 -2.85 -0.010 1.31 0.010 -0.031 1.07 0.048 -2.07 -1.03 0.07 -2.05 -1.09 0.07 -0.021 -1.10 0.011 -0.041 -0.84 0.031 8 0.11 -0.27 -0.76 0.11 -0.29 -0.76 -0.006 0.45 0.011 -0.010 0.38 0.022 总计-11.5-11.61-11.43 -11.43-12.22 -11.34 0.071 -0.060.089 -0.193-0.020.204 (⑤)温度对壁厚均匀性影响很大，整个轧制过 [6]Carvalho R N,Ferreira Marcelo A C,Santos D B,et al. 程中，由于塑性功换热的原因，导致孔型角土30°位 Simulation of the process of hot rolling of seamless tubes. 置处金属的温度较高，此处金属变得较软，阻力较 Mater Sci Forum,2007,539-543:4602 小，孔型顶部和辊缝处金属向此处的流动性增强， [7]Li S Z,Zhang Z C,Bao H Y,et al.Influence of roll 导致钢管截面呈内六方形. speed schedule on transverse wall thickness evenness of shell elongated by mandrel mill.Mater Sci Forum,2010, 654-656:1311 参考文献 [8]Yin Y D,Li S Z,Xu J,et al.Analysis of transverse wall thickness precision of steel tube rolled by semi-floating [1]Thieven P.Erperimental and Numerical Investigation of mandrel mill.Adv Mater Res,2010,97-101:3097 Stretch Reduction Rolling of Steel Tubes [Dissertation]. [9]Kara F,Navarro J,Allwood R L.Effect of thickness vari- Germany:TU Clausthal,1995 ation on collapse pressure of seamless pipes.Ocean Eng, [2]Gulyayev GI,Gulyayev YG,Shyfrin YI.Analysis of vari- 2010,37(11):998 ation of the mean wall thickness in stretch reduced tubes [10]Pschera R,Klarner J,Sommitsch C.Modelling the form- /MSBT Conference Proceedings.New Orleans,2004: ing limit during cross-rolling of seamless pipes using a 89 modified continuum damage mechanics approach.Steel [3]Sawamiphakdi K,Jin D,Ferez T.Overview of 3D finite el- Res Int,2010,81(8):686 ement modeling in tube making processes at the Timken [11]Li J H,Yu H.Numerical simulation of seamless tube's company./MSBT Conference Proceedings.New Or- stretch reducing process.Mater Sci Forum,2011,704/ 1eans,2004:99 705:155 (4]Pater Z,Kazanecki J,Bartnicki J.Three dimensional [12]Yu H,Chen Y,Bai X Z.Finite element analysis for wall thermo-mechanical simulation of the tube forming process thickness variation of seamless tube in stretch reducing in Diescher's mill.J Mater Process Technol,2006,177(1): rolling process.Adu Mater Res,2011,291-294:532 167 [13]Livermore Soft ware Technology Corporation.Ls-Dyna 5]Kvackaj T,Zemko M.Recrystallization and mechanical Keyword User's Manual,V971.California:LSTC,2007 properties of hot rolled seamless steel tubes.Mater Sci [14]Ginzburg V B.High-Quality Steel Rolling:Theory and Foum,2007,558/559:1107 Practice.5th Ed.New York:Marcel Decker,1993· 1520 · 北 京 科 技 大 学 学 报 第 35 卷 表 6 λ 分别为 0 和 0.9 三节点的径向和切向位移对比 Table 6 Radial and tangent displacement comparison between λ=0 and 0.9 道次 Vγ0 /mm Vγ0.9/mm Vτ0/mm Vτ0.9/mm A B C A B C A B C A B C 1 –1.03 –0.41 0.16 –1.03 –0.43 0.16 –0.012 –0.41 –0.01 –0.012 –0.41 –0.01 2 –0.65 –2.27 –3.40 –0.65 –2.38 –3.38 0.033 1.12 0.05 0.033 1.07 0.05 3 –3.85 –2.07 –0.37 –3.82 –2.18 –0.36 –0.056 –1.40 –0.011 –0.065 –1.32 –0.021 4 –0.34 –2.06 –3.82 –0.34 –2.17 –3.79 0.015 1.53 0.038 –0.026 1.31 0.060 5 –3.61 –2.05 –0.44 –3.59 –2.157 –0.43 –0.014 –1.56 –0.010 –0.041 –1.28 0.024 6 –0.06 –1.45 –2.87 –0.06 –1.527 –2.85 –0.010 1.31 0.010 –0.031 1.07 0.048 7 –2.07 –1.03 0.07 –2.05 –1.09 0.07 –0.021 –1.10 0.011 –0.041 –0.84 0.031 8 0.11 –0.27 –0.76 0.11 –0.29 –0.76 –0.006 0.45 0.011 –0.010 0.38 0.022 总计 –11.5 –11.61 –11.43 –11.43 –12.22 –11.34 –0.071 –0.06 0.089 –0.193 –0.02 0.204 (5) 温度对壁厚均匀性影响很大，整个轧制过 程中，由于塑性功换热的原因，导致孔型角 ±30◦ 位 置处金属的温度较高，此处金属变得较软，阻力较 小，孔型顶部和辊缝处金属向此处的流动性增强， 导致钢管截面呈内六方形. 参 考 文 献 [1] Thieven P. Experimental and Numerical Investigation of Stretch Reduction Rolling of Steel Tubes [Dissertation]. Germany: TU Clausthal,1995 [2] Gulyayev G I, Gulyayev Y G, Shyfrin Y I. Analysis of vari￾ation of the mean wall thickness in stretch reduced tubes // MS&T Conference Proceedings. New Orleans, 2004: 89 [3] Sawamiphakdi K, Jin D, Ferez T. Overview of 3D finite el￾ement modeling in tube making processes at the Timken company. // MS&T Conference Proceedings. New Or￾leans, 2004: 99 [4] Pater Z, Kazanecki J, Bartnicki J. Three dimensional thermo-mechanical simulation of the tube forming process in Diescher’s mill. J Mater Process Technol, 2006, 177(1): 167 [5] Kvaˇckaj T, Zemko M. Recrystallization and mechanical properties of hot rolled seamless steel tubes. Mater Sci Forum, 2007, 558/559: 1107 [6] Carvalho R N, Ferreira Marcelo A C, Santos D B, et al. Simulation of the process of hot rolling of seamless tubes. Mater Sci Forum, 2007, 539-543: 4602 [7] Li S Z, Zhang Z C, Bao H Y, et al. Influence of roll speed schedule on transverse wall thickness evenness of shell elongated by mandrel mill. Mater Sci Forum, 2010, 654-656: 1311 [8] Yin Y D, Li S Z, Xu J, et al. Analysis of transverse wall thickness precision of steel tube rolled by semi-floating mandrel mill. Adv Mater Res, 2010, 97-101: 3097 [9] Kara F, Navarro J, Allwood R L. Effect of thickness vari￾ation on collapse pressure of seamless pipes. Ocean Eng, 2010, 37(11): 998 [10] Pschera R, Klarner J, Sommitsch C. Modelling the form￾ing limit during cross-rolling of seamless pipes using a modified continuum damage mechanics approach. Steel Res Int, 2010, 81(8): 686 [11] Li J H, Yu H. Numerical simulation of seamless tube’s stretch reducing process. Mater Sci Forum, 2011, 704/ 705:155 [12] Yu H, Chen Y, Bai X Z. Finite element analysis for wall thickness variation of seamless tube in stretch reducing rolling process. Adv Mater Res, 2011, 291-294: 532 [13] Livermore Soft ware Technology Corporation. Ls-Dyna Keyword User 0 s Manual, V971. California: LSTC, 2007 [14] Ginzburg V B. High-Quality Steel Rolling: Theory and Practice. 5th Ed. New York: Marcel Decker, 1993