锻压技术

基于主应力法和滑移线法求解圆棒料锥模拉拔力

英文标题：Solution to drawing force of conical die for round bar based on principal-stress method and slip-line method

作者：张晗赵军王敏张丽桃陈久川任兆坤

单位：北华航天工业学院

分类号：TG356.11

出版年,卷(期):页码：2019,44(7):174-176

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.

基金项目：

河北省自然科学基金资助项目（E2013409002）；河北省高等学校科学技术研究重点项目（ZD2018239）；河北省教育厅科技指导类项目（Z2019094）；廊坊市科技支撑计划项目资助（2018011048）；北华航天工业学院科研基金重点项目资助（ZD-2016-03）；廊坊市科技支撑计划项目资助（2018011014）

张晗（1979-），女，硕士，讲师，E-mail：zhanghan790108@163.com

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