基于Dynaform板材成形回弹控制的变压边力研究
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摘要
板料冲压成形是一种重要的塑性加工方法,是现代工业的基本制造手段之一,随着对冲压件质量的要求越来越高,对冲压生产工艺优化控制的要求也随之提高。随着计算机软硬件技术,有限元技术及计算机图形学等学科的快速发展,基于数值模拟的计算机辅助工程技术(CAE)在板料成形领域得到了广泛应用。
本文在有限元理论的基础上,应用动力显示算法,讨论金属板料弹塑性本构模型,在Dynaform软件的帮助下,讨论压边力对弯曲和翻边工艺的影响规律。
压边力是影响金属成形的重要工艺参数,对金属板料拉深,弯曲,翻边等成形质量,特别是形状和尺寸精度的保证影响巨大,是各国学者研究的重点。作为冲压成形中控制成形质量的主要手段,实现压边力的优化控制,对充分利用板料成形性能,提高成形极限具有重要意义。本文在推导变压边力数学模型基础上,对“双变”理论进行了探讨,并基于Dynaform对变压边力控制进行了数值模拟,得出了优化的变压边力控制曲线。
回弹控制是本文讨论的第二个内容。翻边回弹与压边力控制有较密切的关系。本文系统分析了回弹产生的原因及控制措施。针对易产生回弹的典型大变形纵梁件,借助于有板材成形限元模拟软件Dynaform,提出了不同的控制回弹的设计方案,并在采用变压边力模拟的基础上,通过一组正交试验,优化了变压边力曲线。试验结果表明变压边力冲压工艺比恒压边力冲压工艺有较广的适用范围,能更好地控制回弹和板料成形。
本文力图以理论指导实践,故在第一、二章较详细的阐述了板材成形力学原理及数学分析、有限元法及数值模拟等基本理论。在此基础上,用二、三章的篇幅分析了材料冲压成形回弹控制中压边力的作用,并通过试验模拟,优化了有效控制回弹的变压边力曲线。本文的研究方法和研究结果对冲压成形中压边力的调整具有一定的指导意义和借鉴作用。
Sheet stamping is the most important plastic working method, and it's applied to modern industry widely more and more. With the increasingly drastic market competition in modern industry, it requires not only high production efficiency, but also optimized control on the production process. So the continuous improvement of sheet stamping technique and process has been the research hotspot of sheet forming all along. With the swift and violent development of computer hardware and software, finite element method and computer graphics, the computer aided engineering(CAE)technology based on numerical simulation is widely used in sheet forming field.
This paper introduced the finite element theory of sheet stamping. Discussed the process of computer simulation about the forming of sheet metal in detail; And introduced some CAE simulation analysis software which wide used in industry and research, then explain the software Dynaform which devised by ETA and LSTC about its function and simulate steps.
Blank holder force(BHF)is one of the most important process variables controlling the sheet forming process for a given tool design. Researches have been carried out all over the world because of its crucial status. As a main control parameter to control the quality during sheet stamping, more reasonable BHF controlling is very important for fully using the deforming ability and raising the forming limit. In this paper, we deduce a new mathematics model of mutative BHE, and bring forward the "double-change" theory. then numerically simulate the control of Variable Blank-Holder Force(VBHF) with DYNAFORM software. obtain the optimum control curve of BHE at last.
Springback is an essential thing in auto stamping parts, however, it should be controlled exactly for requirements of assemble and use. This thesis systemically analyzed the reason for how springback produced and the ways how to control it. The CAE simulation analysis software Dynaform was used to simulate the process of a typical sheet metal forming. The numerical simulation result indicates that the appropriate Variable Blank-Holder Force (VBHF) can improve the thickness and springback of sheet metal forming.
In the paper, we explored the surface parts forming in detail. Including forming mechanism, mechanics model analysis, finite element numerical simulation, Variable Blank-Holder Force(VBHF) controlling, and bring out new formula and theory. The research approach and the result in this paper has some academic value and significance to study Variable Blank-Holder Force(VBHF) for sheet metal forming.
本文在有限元理论的基础上,应用动力显示算法,讨论金属板料弹塑性本构模型,在Dynaform软件的帮助下,讨论压边力对弯曲和翻边工艺的影响规律。
压边力是影响金属成形的重要工艺参数,对金属板料拉深,弯曲,翻边等成形质量,特别是形状和尺寸精度的保证影响巨大,是各国学者研究的重点。作为冲压成形中控制成形质量的主要手段,实现压边力的优化控制,对充分利用板料成形性能,提高成形极限具有重要意义。本文在推导变压边力数学模型基础上,对“双变”理论进行了探讨,并基于Dynaform对变压边力控制进行了数值模拟,得出了优化的变压边力控制曲线。
回弹控制是本文讨论的第二个内容。翻边回弹与压边力控制有较密切的关系。本文系统分析了回弹产生的原因及控制措施。针对易产生回弹的典型大变形纵梁件,借助于有板材成形限元模拟软件Dynaform,提出了不同的控制回弹的设计方案,并在采用变压边力模拟的基础上,通过一组正交试验,优化了变压边力曲线。试验结果表明变压边力冲压工艺比恒压边力冲压工艺有较广的适用范围,能更好地控制回弹和板料成形。
本文力图以理论指导实践,故在第一、二章较详细的阐述了板材成形力学原理及数学分析、有限元法及数值模拟等基本理论。在此基础上,用二、三章的篇幅分析了材料冲压成形回弹控制中压边力的作用,并通过试验模拟,优化了有效控制回弹的变压边力曲线。本文的研究方法和研究结果对冲压成形中压边力的调整具有一定的指导意义和借鉴作用。
Sheet stamping is the most important plastic working method, and it's applied to modern industry widely more and more. With the increasingly drastic market competition in modern industry, it requires not only high production efficiency, but also optimized control on the production process. So the continuous improvement of sheet stamping technique and process has been the research hotspot of sheet forming all along. With the swift and violent development of computer hardware and software, finite element method and computer graphics, the computer aided engineering(CAE)technology based on numerical simulation is widely used in sheet forming field.
This paper introduced the finite element theory of sheet stamping. Discussed the process of computer simulation about the forming of sheet metal in detail; And introduced some CAE simulation analysis software which wide used in industry and research, then explain the software Dynaform which devised by ETA and LSTC about its function and simulate steps.
Blank holder force(BHF)is one of the most important process variables controlling the sheet forming process for a given tool design. Researches have been carried out all over the world because of its crucial status. As a main control parameter to control the quality during sheet stamping, more reasonable BHF controlling is very important for fully using the deforming ability and raising the forming limit. In this paper, we deduce a new mathematics model of mutative BHE, and bring forward the "double-change" theory. then numerically simulate the control of Variable Blank-Holder Force(VBHF) with DYNAFORM software. obtain the optimum control curve of BHE at last.
Springback is an essential thing in auto stamping parts, however, it should be controlled exactly for requirements of assemble and use. This thesis systemically analyzed the reason for how springback produced and the ways how to control it. The CAE simulation analysis software Dynaform was used to simulate the process of a typical sheet metal forming. The numerical simulation result indicates that the appropriate Variable Blank-Holder Force (VBHF) can improve the thickness and springback of sheet metal forming.
In the paper, we explored the surface parts forming in detail. Including forming mechanism, mechanics model analysis, finite element numerical simulation, Variable Blank-Holder Force(VBHF) controlling, and bring out new formula and theory. The research approach and the result in this paper has some academic value and significance to study Variable Blank-Holder Force(VBHF) for sheet metal forming.
引文
[1]杨玉英,大型薄板成形技术,国防工业出版社,1995
[2]T.B.Stoughton,Model of drawbead forces in sheet metal forming,J.Proc.of 15th Biennial IDDRG Congress,1988,205-214
[3]M.A.Ahmetoglu,T.Alnat and GL.Kinezl,Improvement of part quality in stamping by controlling BHF and Pressure,J.of Material Processing Technology,1998,81-82:421-426
[4]赵军,圆锥形什拉深成形智能化的研究,哈尔滨工业大学博士论文,1997
[5]K Manable et aI.Artificial intelligence identification of process pramemeters and adaptive control system or deep-drawing process,J.of Material Processing Technology,1998,81-82:421-426
[6]王东哲,极料拉深成形变压边力理论和实验研究,上海交通大学博士论文,2001
[7]雷鹃,方盒形件拉深成形过程的压边力计算,西北工业大学硕士论文,2002
[8]D E Hardt,etal,Close-loop control of sheet metal stability during stamping,Proceedings of 13th North American Manutacturing Research Conference,1986:315,322
[9]S Thiruvdchelvan,W G Lewis,Deep drawing with blank-holder force approximately proportional to he punch force ASME J.Eng.lnd.1990,112;278-285
[10]R Kergen et al.,Computerized control of the blank holder pressure on deep drawing presses,SAE paper,No.920433,Warrendale,PA 1992
[11]S Yossifon et al On the acceptable blank-holder force range in the deep-drawing process.J.Mater,Process,Technol,1992,33,175-194
[12]K Manable et al,Artificial intelligence identification of process pamemeters and adaptive control system for deep-drawing process of Material processing Technology,1998,81-82:421-426
[13]李良福等,在拉深盒形件时控制压边力的研究,模具技术1997,No.5
[14]K.Siegert,CNC hydraulic multipoint blank holder system for sheet metal forming presses,Ann.CIRP,1993,Vol42,NO.1,319-322
[15]S.A.Saeed,S.A.Majlessi,An improved manufacturing process in sheet metal forming,Proceedings of the 19th Biennial Congress IDDRG,International Deep Drawing Research Group,Eger,Hungary,1996,119-130
[16]Murata,M.Matsui Effect of control of local blank-holding force on deep drawability of square shell.Proceeding of the 18th Biennial Congress of the IDDRG[J],International Deep Drawing research group,1994,503-512
[17]K Manabe et al,Artificial intelligence indentification of process parameters and adaptive control system for deep-drawing process,Journal of Material processing Technology,1998,81-82:421-426
[18]赵军、罗亚军、曹宏强,轴对称件拉深成形智能化控制过程中材料参数识别的神经网络模型设计,燕山大学学报,2002,24(2):95-98
[19]汪锐等,基于模糊神经网络的压边力优化控制专家系统,上海交通大学学报,2001,35(3):411-415
[20]H.B.Sim,M.C.Boyce,Finite element analyses of real-time stability control in sheet forming processes,A SME[J].Eng.Mater.Technol.114(1992) 180-188
[21]Michael J.Saran,Mahmoud Y.Demeri,Formability improvements via variable binder pressure[J],Automotive Engineering International/February,1998:101-103
[22]W.Kubli,J.Reissner,Optimization of sheet-metal forming processes using the special purpose program AUTOFORM[J],Materals Processing Technology,50(1995) 292-305
[23]Y.Wang,S.A.Majlessi,The design of an optimum binder force system for improving sheet metal formability,Proceedings of the 18th Biennial Congress IDDRG,International Deep Drawing Research Group,Lisbon,Portugal,1994,P491-502
[24]孙成智、陈关龙、李淑惠、林忠钦,变压边力对矩形件成形性能的影响,塑性工程学报,2003,8(4):6-9
[25]Z Q Sheng,et al,Adaptive FEM simulation for prediction of variable blank holder force in conical cup drawing,International Journal of Machine Tool & Manufacture,44(2004):487-494
[27]王远钟,董定福,俞芙芳,数值模拟波动压边力对拉深件成形质量的影响,塑性工程学报,2005,12(3):46-50
[26]孙成智等,变压边力对铝合金板冲压成形的影响研究,塑性工程学报,2005,12(3):41-45
[28]罗亚军等,板料成形中的有限元数值模拟技术,金属成形工艺,2000.6:1-3
[29]N.M.Wang,Large plastic deformation of a circular sheet caused by punch stretching,J.Appl.Mech.ASME,Vol.37,1970:431-440
[30]N.M.Wang,Budiansky B.,Analysis of sheet metal stamping by a finite element method,J.of Applied Mechanics,ASME,1978,100:72-82
[31]Nakamachi E.,Development of FEA of sheet metal forming with arbitrarily shaped tools,Advanced Technology of Plasticity,1990,3:1129-1134
[32]N.M.Wang & B.Budiansky,Analysis of Sheet Metal Stamping by a Finite Element Method,J.App.Mech.,Vol.45,1978
[33]N.M.Wang,S C Tang,Analysis of bending effects in sheet forming operation,In:Proceeding of NUMIFORM'86,Rotterdam,1986:77-86
[34]S.C.Tang,Finite element prediction of the deformed shape of automobile trunk deck-lid during the binder-wrap stage,In:C.C.Chen ed,Experimental Verification of Process Models,ASM Metals Park,OH,1981:189-203
[35]Wang Chuantao.Wagoner R.H..,Square punch forming:section analysis and bending study,SAETrans of Materials,1999
[36]Nakamachi E.,Development of FEA of sheet metal forming with arbitrarily shaped tools,Advanced Technology of Plasticity,1999,1129-1134
[37]Nakamachi.T,Makinouchi A,Wei J,Application of laser stereolithography in FE sheet-metal foming simulation,1993
[38]H.Aoh and E.Nakamachi,3-D shent metal forming simulation of auto panels by thin shell finite element method,VDl BERICHTE NR894:357-379
[39]Zhou D,Wagoner R.H,An algorithm for improved convergence in forming analysis,Int.J.of Mechanical Science,1997:1367-1384
[40]肖景容、李尚健等,刚塑性变形模拟的相似条件,华中理工大学学报,1987,第15卷,第一期,35-39
[4]]贾明华、曾宪章等,杯-杯复合挤压过的刚塑性有限元分析,模具技术,1988:1-11
[42]李赞、李尚健等,刚塑性有限元中的约束分析,华中理工大学学报,1991,增刊,73-76
[43]熊火轮,计算机辅助板料成形分析模拟系统,北京航空航大大学博士学位论文,1990
[44]董湘怀等,晶体塑性模型在板料成形计算机模拟中的应用,中国机械工程,1994,8:27
[45]董湘怀,轴对称及二维金属板料成形过程的有限元模拟,华中理工大学博士论文,1991
[46]张凯峰,三维板壳成形过程的粘塑性有限元分析,中国机械工程学会锻压分会第五届学术年会论文集,1995
[47]李光耀,三维板料成形过程的显式有限元分析,计算结构力学及其应用,1996,13:253-267
[48]李光耀、钟志华,显式有限元方法求解二维壳体塑性大变形接触问题,工程力学,第14卷第3期,1997
[49]钟志华、李光耀编著,薄板冲压成形过程的计算机仿真与应用,北京理工大学出版社,1998
[50]徐康聪,汽车车身覆盖件成形过程计算机数值分析与应用研究,湖南大学博士论文,1995
[51]彭颖红,金属塑性变形仿真技术,上海交通大学出版社,1999
[52]中国哲,金属板料成形的动力半显式算法及其工程应用,吉林工业大学博士论文,2002:54-56
[53]汪晨,板料成形回弹的数值模拟及考虑回弹反向补偿的模具设计方法研究,上海交通大学博士论文,1999:40-45
[54]韦东来,汽车覆盖件成形性分析和数值模拟,吉林大学硕士论文,2004
[55]马永春,薄板成形仿真分析研究及其在车身覆羔件中的运用,北京理工大学学位论文,1999.21
[56]李建华、胡道钟等,汽车覆盖件板成形数值模拟和工程应用关键技术研究,汽车科技,2002:36-37
[57]陈文亮,板料成形CAE分析教程,机械工业出版社,2005:2-12
[58]胡轶敏.车身覆盖件冲压成形的三维仿真与试验研究.上海交通大学博士学位论文,1999
[59]解汝升.冲乐模具设计与制造技术.北京:中国标准出版社,1997:10-13
[60]Liu Yuqi,Hu Ping,Wang Jinchen.Springback simulation and analysis of strong anisotropic sheet metals in U-channel bending process.Acta Mechanica Sinica,2002,18(3):264-273
[61]Jiang Dan,Wang Lancheng.Direct generation of die surfaces from measured data points based on springback compensation.The International Journal of Advanced Manufacturing Technology,2006,31(5-6):574-579
[62]Zhong-Yi Cai,Ming-Zhe Li,Xi-Di Chert.Digitized die forming system for sheet metal and springback minimizing technique.The International Journal of Advanced Manufacturing Technology,2006,28(11 - 12):1089-1096
[63]K.M.Liew,H.Tan,T.Ray,M.J.Tan.Optimal process design of sheet metal forming for minimum springback via an integrated neural network evolutionary algorithm.Structural and Multidisciplinary Optimization,2004,26(3-4):284-294
[64]Yuung-Hwa Lu.Integration of RP and explicit dynamic FEM for the visualization of the sheet metal forming process.The International Journal of Advanced Manufacturing Technology,2006,28(3-4):255-26 I
[65]徐丙坤,施法中.板料冲压成形回弹的数值模拟.北京航空航天大学学报,2001,27(2):194-197
[66]Joannic D,Gelin J C.Accurate Simulation of Springback in 3D Sheet Metal Forming Processes[A].In:NUMIFORM'95[C],1995:729-734
[67]A M Prior.Application of Implicit and Explicit Finite Element Techniques to Metal Forming.Journal of Materials Processing Technology,1994,(45):649-656
[68]Zhang Dong-juan,Cui Zhen-shan,Chert Zhi-ying,Ruan Xue-yu.An analytical model for predicting sheet springback after V-bending.Journal of Zhejiang University-Science A,2006,8(2):237-244
[69]李雪春,杨玉英,乇永志,包军,李顺平.材料硬化模式对弯曲回弹模拟精度的影响.材料科学与工艺,2002,10(3):277-280
[70]李雪春,杨玉英,王永志,包军.宽板V型自由弯曲回弹的有限元模拟.塑性工程学报,2001,8(2):1-3
[71]赵叶锋,陈靖芯,陆国民.U形仆弯曲成形中回弹的数值模拟研究.拖拉机与农用运输车,2005,(2):42-47
[72]刘罡.基于回弹控制的提高轿车冲压件成形精度方法研究.上海交通大学博士学位论文,2001:8-10
[73]付宝连.金屈成形过程的回弹最小势能原理及其应用.锻压技术,2001,(4):24-26
[74]赵叶锋,陈靖芯,陆国民.U形件弯曲成形中回弹的数值模拟研究.拖拉机与农用运输车,2005,(2):42-47
[75]S W Lee,D Y Yang.An Assessment of Numerical Parameters Influencing Springback in Explicit Finite Element Analysis of Sheet Metal Forming Process.Journal of Material Processing Technology,1998,(8):60-67
[76]Dynaform用户手册.美国ANSYS公司北京办事处,2000
[77]王孝培,冲压手册,机械工业出版社,北京,1990,498-552
[78]汪锐、罗亚军、何丹农,基于模糊神经网络的压边力优化控制专家系统,上海交通大学学报,NO.3(2001)
[79]张晓静,周贤宾,孔永明,板料成形数值模拟研究,锻压技术,1(2001),13-17
[80]姜海峰、刘玉峰,变压边力拉深的原理及实验系统,塑性工程学报,6(1)(1999),30-33
[81]谭晶,孙胜,拉深工艺变压力控制数值模拟研究,中国机械工程,14(4)(2003),287-289
[82]孙成智,陈关龙等,新型计算机控制多点变压边力液压压力机的研制,机械设计,20(11)(2003),16-19.
[83]卢险峰,冲压工艺模具学,机械工业出版社,北京,1999.3
[84]WangY,MajlessiSA.The design of an optimum binder force system for improving sheet metal formability,Proceedings of the 18th Biennial Congress IDDRG,International Deep Drawing Research Group,Lisbon,Portuga,11994:491-502
[85]张如华,赵向阳,章跃荣.冲压工艺与模具设计.北京:清华大学出版社,2006:130-133
[86]王新华.冲模设计与制造实用计算手册.北京:机械工业出版社,2003:87-90
[87]Y.C.Liu.The Effect of Restraining Force on Shape Deviation in Flanged Channels Tran ASME[J].Engineering Material Technology,1988(6):30-34
[2]T.B.Stoughton,Model of drawbead forces in sheet metal forming,J.Proc.of 15th Biennial IDDRG Congress,1988,205-214
[3]M.A.Ahmetoglu,T.Alnat and GL.Kinezl,Improvement of part quality in stamping by controlling BHF and Pressure,J.of Material Processing Technology,1998,81-82:421-426
[4]赵军,圆锥形什拉深成形智能化的研究,哈尔滨工业大学博士论文,1997
[5]K Manable et aI.Artificial intelligence identification of process pramemeters and adaptive control system or deep-drawing process,J.of Material Processing Technology,1998,81-82:421-426
[6]王东哲,极料拉深成形变压边力理论和实验研究,上海交通大学博士论文,2001
[7]雷鹃,方盒形件拉深成形过程的压边力计算,西北工业大学硕士论文,2002
[8]D E Hardt,etal,Close-loop control of sheet metal stability during stamping,Proceedings of 13th North American Manutacturing Research Conference,1986:315,322
[9]S Thiruvdchelvan,W G Lewis,Deep drawing with blank-holder force approximately proportional to he punch force ASME J.Eng.lnd.1990,112;278-285
[10]R Kergen et al.,Computerized control of the blank holder pressure on deep drawing presses,SAE paper,No.920433,Warrendale,PA 1992
[11]S Yossifon et al On the acceptable blank-holder force range in the deep-drawing process.J.Mater,Process,Technol,1992,33,175-194
[12]K Manable et al,Artificial intelligence identification of process pamemeters and adaptive control system for deep-drawing process of Material processing Technology,1998,81-82:421-426
[13]李良福等,在拉深盒形件时控制压边力的研究,模具技术1997,No.5
[14]K.Siegert,CNC hydraulic multipoint blank holder system for sheet metal forming presses,Ann.CIRP,1993,Vol42,NO.1,319-322
[15]S.A.Saeed,S.A.Majlessi,An improved manufacturing process in sheet metal forming,Proceedings of the 19th Biennial Congress IDDRG,International Deep Drawing Research Group,Eger,Hungary,1996,119-130
[16]Murata,M.Matsui Effect of control of local blank-holding force on deep drawability of square shell.Proceeding of the 18th Biennial Congress of the IDDRG[J],International Deep Drawing research group,1994,503-512
[17]K Manabe et al,Artificial intelligence indentification of process parameters and adaptive control system for deep-drawing process,Journal of Material processing Technology,1998,81-82:421-426
[18]赵军、罗亚军、曹宏强,轴对称件拉深成形智能化控制过程中材料参数识别的神经网络模型设计,燕山大学学报,2002,24(2):95-98
[19]汪锐等,基于模糊神经网络的压边力优化控制专家系统,上海交通大学学报,2001,35(3):411-415
[20]H.B.Sim,M.C.Boyce,Finite element analyses of real-time stability control in sheet forming processes,A SME[J].Eng.Mater.Technol.114(1992) 180-188
[21]Michael J.Saran,Mahmoud Y.Demeri,Formability improvements via variable binder pressure[J],Automotive Engineering International/February,1998:101-103
[22]W.Kubli,J.Reissner,Optimization of sheet-metal forming processes using the special purpose program AUTOFORM[J],Materals Processing Technology,50(1995) 292-305
[23]Y.Wang,S.A.Majlessi,The design of an optimum binder force system for improving sheet metal formability,Proceedings of the 18th Biennial Congress IDDRG,International Deep Drawing Research Group,Lisbon,Portugal,1994,P491-502
[24]孙成智、陈关龙、李淑惠、林忠钦,变压边力对矩形件成形性能的影响,塑性工程学报,2003,8(4):6-9
[25]Z Q Sheng,et al,Adaptive FEM simulation for prediction of variable blank holder force in conical cup drawing,International Journal of Machine Tool & Manufacture,44(2004):487-494
[27]王远钟,董定福,俞芙芳,数值模拟波动压边力对拉深件成形质量的影响,塑性工程学报,2005,12(3):46-50
[26]孙成智等,变压边力对铝合金板冲压成形的影响研究,塑性工程学报,2005,12(3):41-45
[28]罗亚军等,板料成形中的有限元数值模拟技术,金属成形工艺,2000.6:1-3
[29]N.M.Wang,Large plastic deformation of a circular sheet caused by punch stretching,J.Appl.Mech.ASME,Vol.37,1970:431-440
[30]N.M.Wang,Budiansky B.,Analysis of sheet metal stamping by a finite element method,J.of Applied Mechanics,ASME,1978,100:72-82
[31]Nakamachi E.,Development of FEA of sheet metal forming with arbitrarily shaped tools,Advanced Technology of Plasticity,1990,3:1129-1134
[32]N.M.Wang & B.Budiansky,Analysis of Sheet Metal Stamping by a Finite Element Method,J.App.Mech.,Vol.45,1978
[33]N.M.Wang,S C Tang,Analysis of bending effects in sheet forming operation,In:Proceeding of NUMIFORM'86,Rotterdam,1986:77-86
[34]S.C.Tang,Finite element prediction of the deformed shape of automobile trunk deck-lid during the binder-wrap stage,In:C.C.Chen ed,Experimental Verification of Process Models,ASM Metals Park,OH,1981:189-203
[35]Wang Chuantao.Wagoner R.H..,Square punch forming:section analysis and bending study,SAETrans of Materials,1999
[36]Nakamachi E.,Development of FEA of sheet metal forming with arbitrarily shaped tools,Advanced Technology of Plasticity,1999,1129-1134
[37]Nakamachi.T,Makinouchi A,Wei J,Application of laser stereolithography in FE sheet-metal foming simulation,1993
[38]H.Aoh and E.Nakamachi,3-D shent metal forming simulation of auto panels by thin shell finite element method,VDl BERICHTE NR894:357-379
[39]Zhou D,Wagoner R.H,An algorithm for improved convergence in forming analysis,Int.J.of Mechanical Science,1997:1367-1384
[40]肖景容、李尚健等,刚塑性变形模拟的相似条件,华中理工大学学报,1987,第15卷,第一期,35-39
[4]]贾明华、曾宪章等,杯-杯复合挤压过的刚塑性有限元分析,模具技术,1988:1-11
[42]李赞、李尚健等,刚塑性有限元中的约束分析,华中理工大学学报,1991,增刊,73-76
[43]熊火轮,计算机辅助板料成形分析模拟系统,北京航空航大大学博士学位论文,1990
[44]董湘怀等,晶体塑性模型在板料成形计算机模拟中的应用,中国机械工程,1994,8:27
[45]董湘怀,轴对称及二维金属板料成形过程的有限元模拟,华中理工大学博士论文,1991
[46]张凯峰,三维板壳成形过程的粘塑性有限元分析,中国机械工程学会锻压分会第五届学术年会论文集,1995
[47]李光耀,三维板料成形过程的显式有限元分析,计算结构力学及其应用,1996,13:253-267
[48]李光耀、钟志华,显式有限元方法求解二维壳体塑性大变形接触问题,工程力学,第14卷第3期,1997
[49]钟志华、李光耀编著,薄板冲压成形过程的计算机仿真与应用,北京理工大学出版社,1998
[50]徐康聪,汽车车身覆盖件成形过程计算机数值分析与应用研究,湖南大学博士论文,1995
[51]彭颖红,金属塑性变形仿真技术,上海交通大学出版社,1999
[52]中国哲,金属板料成形的动力半显式算法及其工程应用,吉林工业大学博士论文,2002:54-56
[53]汪晨,板料成形回弹的数值模拟及考虑回弹反向补偿的模具设计方法研究,上海交通大学博士论文,1999:40-45
[54]韦东来,汽车覆盖件成形性分析和数值模拟,吉林大学硕士论文,2004
[55]马永春,薄板成形仿真分析研究及其在车身覆羔件中的运用,北京理工大学学位论文,1999.21
[56]李建华、胡道钟等,汽车覆盖件板成形数值模拟和工程应用关键技术研究,汽车科技,2002:36-37
[57]陈文亮,板料成形CAE分析教程,机械工业出版社,2005:2-12
[58]胡轶敏.车身覆盖件冲压成形的三维仿真与试验研究.上海交通大学博士学位论文,1999
[59]解汝升.冲乐模具设计与制造技术.北京:中国标准出版社,1997:10-13
[60]Liu Yuqi,Hu Ping,Wang Jinchen.Springback simulation and analysis of strong anisotropic sheet metals in U-channel bending process.Acta Mechanica Sinica,2002,18(3):264-273
[61]Jiang Dan,Wang Lancheng.Direct generation of die surfaces from measured data points based on springback compensation.The International Journal of Advanced Manufacturing Technology,2006,31(5-6):574-579
[62]Zhong-Yi Cai,Ming-Zhe Li,Xi-Di Chert.Digitized die forming system for sheet metal and springback minimizing technique.The International Journal of Advanced Manufacturing Technology,2006,28(11 - 12):1089-1096
[63]K.M.Liew,H.Tan,T.Ray,M.J.Tan.Optimal process design of sheet metal forming for minimum springback via an integrated neural network evolutionary algorithm.Structural and Multidisciplinary Optimization,2004,26(3-4):284-294
[64]Yuung-Hwa Lu.Integration of RP and explicit dynamic FEM for the visualization of the sheet metal forming process.The International Journal of Advanced Manufacturing Technology,2006,28(3-4):255-26 I
[65]徐丙坤,施法中.板料冲压成形回弹的数值模拟.北京航空航天大学学报,2001,27(2):194-197
[66]Joannic D,Gelin J C.Accurate Simulation of Springback in 3D Sheet Metal Forming Processes[A].In:NUMIFORM'95[C],1995:729-734
[67]A M Prior.Application of Implicit and Explicit Finite Element Techniques to Metal Forming.Journal of Materials Processing Technology,1994,(45):649-656
[68]Zhang Dong-juan,Cui Zhen-shan,Chert Zhi-ying,Ruan Xue-yu.An analytical model for predicting sheet springback after V-bending.Journal of Zhejiang University-Science A,2006,8(2):237-244
[69]李雪春,杨玉英,乇永志,包军,李顺平.材料硬化模式对弯曲回弹模拟精度的影响.材料科学与工艺,2002,10(3):277-280
[70]李雪春,杨玉英,王永志,包军.宽板V型自由弯曲回弹的有限元模拟.塑性工程学报,2001,8(2):1-3
[71]赵叶锋,陈靖芯,陆国民.U形仆弯曲成形中回弹的数值模拟研究.拖拉机与农用运输车,2005,(2):42-47
[72]刘罡.基于回弹控制的提高轿车冲压件成形精度方法研究.上海交通大学博士学位论文,2001:8-10
[73]付宝连.金屈成形过程的回弹最小势能原理及其应用.锻压技术,2001,(4):24-26
[74]赵叶锋,陈靖芯,陆国民.U形件弯曲成形中回弹的数值模拟研究.拖拉机与农用运输车,2005,(2):42-47
[75]S W Lee,D Y Yang.An Assessment of Numerical Parameters Influencing Springback in Explicit Finite Element Analysis of Sheet Metal Forming Process.Journal of Material Processing Technology,1998,(8):60-67
[76]Dynaform用户手册.美国ANSYS公司北京办事处,2000
[77]王孝培,冲压手册,机械工业出版社,北京,1990,498-552
[78]汪锐、罗亚军、何丹农,基于模糊神经网络的压边力优化控制专家系统,上海交通大学学报,NO.3(2001)
[79]张晓静,周贤宾,孔永明,板料成形数值模拟研究,锻压技术,1(2001),13-17
[80]姜海峰、刘玉峰,变压边力拉深的原理及实验系统,塑性工程学报,6(1)(1999),30-33
[81]谭晶,孙胜,拉深工艺变压力控制数值模拟研究,中国机械工程,14(4)(2003),287-289
[82]孙成智,陈关龙等,新型计算机控制多点变压边力液压压力机的研制,机械设计,20(11)(2003),16-19.
[83]卢险峰,冲压工艺模具学,机械工业出版社,北京,1999.3
[84]WangY,MajlessiSA.The design of an optimum binder force system for improving sheet metal formability,Proceedings of the 18th Biennial Congress IDDRG,International Deep Drawing Research Group,Lisbon,Portuga,11994:491-502
[85]张如华,赵向阳,章跃荣.冲压工艺与模具设计.北京:清华大学出版社,2006:130-133
[86]王新华.冲模设计与制造实用计算手册.北京:机械工业出版社,2003:87-90
[87]Y.C.Liu.The Effect of Restraining Force on Shape Deviation in Flanged Channels Tran ASME[J].Engineering Material Technology,1988(6):30-34