二维型材拉弯成形有限元模拟夹头运动轨迹设计算法
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摘要
当采用位移法进行型材拉弯成形过程有限元模拟时,需要设计夹头的运动轨迹。针对于拉弯件引导线是复杂的二维变曲率问题难以处理,提出了一种根据型材拉弯零件数模截面形心引导线离散点数据,得出不同预拉量和在拉弯过程中截面中性层内移量与夹头在拉弯过程中的位移轨迹坐标的关系的计算模型,并根据有限元边界条件的定义要求,通过变换和归一处理,建立了拉弯成形模拟过程中夹头的位移边界条件定义数据的计算方法。通过有限元模拟实例验证,表明所建立的拉弯成形夹头轨迹设计算法准确可靠。
When using displacement method to simulate 2 D profile stretch bending process,the jaw trajectory needs to be designed firstly. Aiming at the problem that it is difficult to design jaw trajectory of complex 2 D variable curvature of centroid guide line of the profile,based on the discrete point data of the centroid guide line of digital model of the stretch bending profile,a calculation model was presented to obtain the relationship between the internal displacement of the neutral layer of the section,different prestressing amounts and the displacement trajectory coordinates of the jaw in the process of stretch bending forming. According to the definition of finite element boundary condition,the calculation method of displacement boundary condition definition data of jaw in the process of forming simulation was established by transformation and normalization. It is verified with a case that the jaw trajectory design algorithm in the process of stretch bending forming is accurate and reliable.
When using displacement method to simulate 2 D profile stretch bending process,the jaw trajectory needs to be designed firstly. Aiming at the problem that it is difficult to design jaw trajectory of complex 2 D variable curvature of centroid guide line of the profile,based on the discrete point data of the centroid guide line of digital model of the stretch bending profile,a calculation model was presented to obtain the relationship between the internal displacement of the neutral layer of the section,different prestressing amounts and the displacement trajectory coordinates of the jaw in the process of stretch bending forming. According to the definition of finite element boundary condition,the calculation method of displacement boundary condition definition data of jaw in the process of forming simulation was established by transformation and normalization. It is verified with a case that the jaw trajectory design algorithm in the process of stretch bending forming is accurate and reliable.
引文
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[9]金朝海,周贤斌,谷诤巍,等.基于位移控制的型材2D张臂式拉弯加载轨迹设计及数控代码生成[J].塑性工程学报,2009,16(2):66-71.JIN Chaohai,ZHOU Xianbin,GU Zhengwei,et al. Jaw trajectory design for displacement-controlled profile 2D stretch-wrap bending and part program generation[J]. Journal of Plasticity Engineering,2009,16(2):66-71.
[10]刘天骄,王永军,夏晓娇,等.型材拉弯数值模拟轨迹建模方法[J].锻压技术,2014,39(7):132-137.LIU Tianjiao,WANG Yongjun,XIA Xiaojiao,et al. Trajectory modeling of extrusion stretch bending simulation[J]. Forging&Stamping Technology,2014,39(7):132-137.
[2] OUAKDI E H,LOUAHDI R,KHIRANI D,et al. Evaluation of springback under the effect of holding force and die radius in a stretch bending test[J]. Materials&Design,2012,35:106-112.
[3] CORONA E. A simple analysis for bend-stretch forming of aluminum extrusions[J]. International Journal of Mechanical Science,2004,46(3):433-448.
[4] CLAUSEN A H,HOPPERSTAD O S,LANGSETH M. Sensitivity of model parameters in stretch bending of aluminum extrusions[J]. International Journal of Mechanical Sciences,2001,43(2):427-453.
[5]温宏杰.夹钳轨迹计算及异形截面铝合金型材拉弯研究[D].吉林:吉林大学,2015.WEN Hongjie. Jaw trajectory design and research on stretch bending process of aluminum alloy profile with lrregular cross-section[D]. Jilin:Jilin University,2015.
[6]刘志军,金朝海,李东升,等.基于PSBPD的T型材拉弯夹钳加载轨迹设计及有限元模拟[J].塑性工程学报,2012,19(6):109-115.LIU Zhijun, JIN Chaohai, LI Dongsheng, et al. PSBPD-based jaw trajectory design and numerical simulation for T-section profile during stretch-bending[J]. Journal of Plasticity Engineering,2012,19(6):109-115.
[7]李小强,周贤斌,金朝海,等.型材拉弯数值模拟夹钳边界条件的一种等效模型[J].塑性工程学报,2009,16(1):64-69.LI Xiaoqiang,ZHOU Xianbin,JIN Chaohai,et al. An equivalent model of jawps boundary condition in numerical simulation of stretch bending for extrusions[J]. Journal of Plasticity Engineering,2009,16(1):64-69.
[8]王永军,黄云华,王俊彪,等.数控转台拉弯机切点跟踪轨迹生成算法[J].机械工程学报,2005,41(10):123-127.WANG Yongjun,HUANG Yunhua,WANG Junbiao,et al. Numerical control table drawing and bending machine cutting point tracking path generation algorithm[J]. Journal of Mechanical Engineering,2005,41(10):123-127.
[9]金朝海,周贤斌,谷诤巍,等.基于位移控制的型材2D张臂式拉弯加载轨迹设计及数控代码生成[J].塑性工程学报,2009,16(2):66-71.JIN Chaohai,ZHOU Xianbin,GU Zhengwei,et al. Jaw trajectory design for displacement-controlled profile 2D stretch-wrap bending and part program generation[J]. Journal of Plasticity Engineering,2009,16(2):66-71.
[10]刘天骄,王永军,夏晓娇,等.型材拉弯数值模拟轨迹建模方法[J].锻压技术,2014,39(7):132-137.LIU Tianjiao,WANG Yongjun,XIA Xiaojiao,et al. Trajectory modeling of extrusion stretch bending simulation[J]. Forging&Stamping Technology,2014,39(7):132-137.
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