基于主应力法和滑移线法求解圆棒料锥模拉拔力
|
摘要
针对圆棒料锥模拉拔,建立了拉拔力的计算模型,通过对微元体进行受力分析,建立了力的平衡微分方程,并引入屈服条件、摩擦条件和边界条件,采用主应力法,推导出单位拉拔力的计算公式;另外,利用滑移线理论,建立了变形区的滑移线场,依据屈服准则和汉基方程,求解出金属圆棒料拉拔时单位拉拔力的计算公式,进而求出总拉拔力。通过实例进行了验证,主应力法得到的拉拔力为4. 2 kN,滑移线法得到的拉拔力为2. 6 kN,经验公式法得到的拉拔力为4. 6 kN。结果表明,根据主应力法和滑移线法求解拉拔力符合工程要求,能够实现设备吨位的选择。
For the drawing of round bar with conical die,the calculating model of drawing force was established,and the equilibrium differential equation was built by the force analysis of microelement. Then,the yielding condition,friction condition and boundary condition were introduced,and the calculating formula of unit drawing force was deduced by the principal-stress method. Besides,the slip-line field of deformation zone was obtained by the slip-line theory,and based on the yield criterion and Hencky equation,the calculating formula of unit drawing force for metal round bar was solved to obtain the total drawing force. Through the verification of examples,the drawing forces gained by the principal-stress method and the slip-line method are 4. 2 and 2. 6 kN,respectively,and the drawing forces gained by the empirical formula is 4. 6 kN. The results show that the drawing forces calculated by the principal-stress method and the slip-line method meet the engineering requirement,which can realize the choice of equipment tonnage.
For the drawing of round bar with conical die,the calculating model of drawing force was established,and the equilibrium differential equation was built by the force analysis of microelement. Then,the yielding condition,friction condition and boundary condition were introduced,and the calculating formula of unit drawing force was deduced by the principal-stress method. Besides,the slip-line field of deformation zone was obtained by the slip-line theory,and based on the yield criterion and Hencky equation,the calculating formula of unit drawing force for metal round bar was solved to obtain the total drawing force. Through the verification of examples,the drawing forces gained by the principal-stress method and the slip-line method are 4. 2 and 2. 6 kN,respectively,and the drawing forces gained by the empirical formula is 4. 6 kN. The results show that the drawing forces calculated by the principal-stress method and the slip-line method meet the engineering requirement,which can realize the choice of equipment tonnage.
引文
[1]董湘怀.金属塑性成形原理[M].北京:机械工业出版社,2013.Dong X H. Principle of Metal Plastic Forming[M]. Beijing:China Machine Press,2013.
[2]马怀宪.金属塑性加工学:挤压、拉拔与管材冷轧[M].北京:冶金工业出版社,2002.Ma H X. Metal-plastic Processing:Extruding,Drawing and Tube Cold Rolling[M]. Beijing:Metallurgical Industry Press,2002.
[3]许永强,姜志宏,曾艳祥,等.薄壁铜管固定芯头拉拔和游动芯头拉拔的对比分析[J].锻压技术,2017,42(6):88-91.Xu Y Q,Jiang Z H,Zeng Y X,et al. Comparative analysis on fixed-mandrel drawing and floating-mandrel drawing for thin-walled copper tube[J]. Forging&Stamping Technology,2017,42(6):88-91.
[4]郭丰伟,雷君相,江鸿,等.异形花键截面钢丝辊模拉拔模拟研究[J].塑性工程学报,2018,25(1):125-130.Guo F W,Lei J X,Jiang H,et al. Simulation research on roller die drawing of special-shaped section steel wire[J]. Journal of Plasticity Engineering,2018,25(1):125-130.
[5]祖方遒.材料成形基本原理[M].北京:机械工业出版社,2016.Zu F Q. Fundamentals of Materials Forming Processes[M]. Beijing:China Machine Press,2016.
[6]郭胜利,李德富,马志新,等.主应力法和功平衡法求解管材挤压变形力的再探讨[J].塑性工程学报. 2008,15(1):31-35.Guo S L,Li D F,Ma Z X,et al. Rediscussion on force of tube extrusion deduced by block method and the method of balance of work[J]. Journal of Plasticity Engineering,2008,15(1):31-35.
[7]梅瑞斌,包立,齐西伟,等.“主应力法”理论的课堂教学问题研究[J].机械设计,2018,35(S2):130-133.Mei R B,Bao L,Qi X W,et al. Study on classroom teaching of the“principal stress method”[J]. Journal of Machine Design,2018,35(S2):130-133.
[8]张晗,王敏,赵军,等.基于滑移线法求解的板料拉深凸缘区的应力[J].锻压技术,2018,43(6):71-73.Zhang H,Wang M,Zhao J,et al. Stress of sheet metal in drawing flange area solved by slip-line method[J]. Forging&Stamping Technology,2018,43(6):71-73.
[9]潘成刚,王华昌,王凯封,等.基于滑移线理论的工件塑性区的确定方法[J].塑性工程学报,2004,11(5):75-77.Pan C G,Wang H C,Wang K F,et al. Determination of plastic section of workpiece based on the slip-line field theory[J]. Journal of Plasticity Engineering,2004,11(5):75-77.
[10]江荧,彭炎荣.复杂滑移线场的三种理论求解方法及其应用[J].常州工学院学报,2013,26(3):32-38.Jiang Y,Peng Y R. Three solving processes for construction of the complex slip-line fields and their application[J]. Journal of Changzhou Institute of Technology,2013,26(3):32-38.
[11]钟毓斌.冲压工艺与模具设计[M].北京:机械工业出版社,2010.Zhong Y B. Stamping Process and Mold Design[M]. Beijing:China Machine Press,2010.
[2]马怀宪.金属塑性加工学:挤压、拉拔与管材冷轧[M].北京:冶金工业出版社,2002.Ma H X. Metal-plastic Processing:Extruding,Drawing and Tube Cold Rolling[M]. Beijing:Metallurgical Industry Press,2002.
[3]许永强,姜志宏,曾艳祥,等.薄壁铜管固定芯头拉拔和游动芯头拉拔的对比分析[J].锻压技术,2017,42(6):88-91.Xu Y Q,Jiang Z H,Zeng Y X,et al. Comparative analysis on fixed-mandrel drawing and floating-mandrel drawing for thin-walled copper tube[J]. Forging&Stamping Technology,2017,42(6):88-91.
[4]郭丰伟,雷君相,江鸿,等.异形花键截面钢丝辊模拉拔模拟研究[J].塑性工程学报,2018,25(1):125-130.Guo F W,Lei J X,Jiang H,et al. Simulation research on roller die drawing of special-shaped section steel wire[J]. Journal of Plasticity Engineering,2018,25(1):125-130.
[5]祖方遒.材料成形基本原理[M].北京:机械工业出版社,2016.Zu F Q. Fundamentals of Materials Forming Processes[M]. Beijing:China Machine Press,2016.
[6]郭胜利,李德富,马志新,等.主应力法和功平衡法求解管材挤压变形力的再探讨[J].塑性工程学报. 2008,15(1):31-35.Guo S L,Li D F,Ma Z X,et al. Rediscussion on force of tube extrusion deduced by block method and the method of balance of work[J]. Journal of Plasticity Engineering,2008,15(1):31-35.
[7]梅瑞斌,包立,齐西伟,等.“主应力法”理论的课堂教学问题研究[J].机械设计,2018,35(S2):130-133.Mei R B,Bao L,Qi X W,et al. Study on classroom teaching of the“principal stress method”[J]. Journal of Machine Design,2018,35(S2):130-133.
[8]张晗,王敏,赵军,等.基于滑移线法求解的板料拉深凸缘区的应力[J].锻压技术,2018,43(6):71-73.Zhang H,Wang M,Zhao J,et al. Stress of sheet metal in drawing flange area solved by slip-line method[J]. Forging&Stamping Technology,2018,43(6):71-73.
[9]潘成刚,王华昌,王凯封,等.基于滑移线理论的工件塑性区的确定方法[J].塑性工程学报,2004,11(5):75-77.Pan C G,Wang H C,Wang K F,et al. Determination of plastic section of workpiece based on the slip-line field theory[J]. Journal of Plasticity Engineering,2004,11(5):75-77.
[10]江荧,彭炎荣.复杂滑移线场的三种理论求解方法及其应用[J].常州工学院学报,2013,26(3):32-38.Jiang Y,Peng Y R. Three solving processes for construction of the complex slip-line fields and their application[J]. Journal of Changzhou Institute of Technology,2013,26(3):32-38.
[11]钟毓斌.冲压工艺与模具设计[M].北京:机械工业出版社,2010.Zhong Y B. Stamping Process and Mold Design[M]. Beijing:China Machine Press,2010.
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |