曲面积分法求解双曲线控轴对称拔制

应用科学学报 ›› 1996, Vol. 14 ›› Issue (2): 223-228.

曲面积分法求解双曲线控轴对称拔制

赵德文¹, 王国栋¹, 钟军², 董希俭²

1. 东北大学;
2. 沈阳线材厂

收稿日期:1994-05-30 修回日期:1994-10-21 出版日期:1996-06-30 发布日期:1996-06-30
作者简介:赵德文:副教授,东北大学金属压力加工系,沈阳 110006

THE SURFACE INTEGRAL TO SOLVE AXISYMMETRIC DRAWING THROUGH HYPERBOLIC DIE

ZHAO DEWEN¹, WANG GUODONG¹, ZHONG JUN², DONG XIJAN²

1. Northeastern University;
2. Shenyang Wire-Working Plant

Received:1994-05-30 Revised:1994-10-21 Online:1996-06-30 Published:1996-06-30

摘要/Abstract

摘要： 锥形模拔制,Avitzur给出下述解^[1]
σ_xf/σ_s=2f(α) ln ((R₁)/(R₂))+2/(√3)[α/sin²α-cotα+mcotα ln ((R₁)/(R₂))](a)式中,R₁,R₂为入、出口半径,α为模半角,f(α)是α的函数.本文研究双曲线模拉拔棒材,与锥形模根本区别在于沿模具纵向剖开,剖面线不是直线而是双曲线,如图.有关双曲线模平面变形拉拔挤压已进行初步研究^[2].本文在于按文献[2~4]方法研究轴对称问题,仍重探索轴对称条件下摩擦功率与变形功率的曲面积分与变上限积分技巧,所得解析解将与式(a)进行比较.

关键词: 双曲线模, 棒材拉拔, 曲面积分

Abstract: A kinematically admissible velocity field for axisymmetric bar drawing through a hyperbolic die is established, and with the surface integral determining the friction power,and the upper limit function integral determining the internal deformation power, an upper bound analytical solution to the field is obtained.

Key words: hyperbolic die, bar drawing, surface integral

赵德文, 王国栋, 钟军, 董希俭. 曲面积分法求解双曲线控轴对称拔制[J]. 应用科学学报, 1996, 14(2): 223-228.

ZHAO DEWEN, WANG GUODONG, ZHONG JUN, DONG XIJAN. THE SURFACE INTEGRAL TO SOLVE AXISYMMETRIC DRAWING THROUGH HYPERBOLIC DIE[J]. Journal of Applied Sciences, 1996, 14(2): 223-228.