有鼓形平板锻造的应变速率矢量分析解法

应用科学学报 ›› 2006, Vol. 24 ›› Issue (3): 316-319.

有鼓形平板锻造的应变速率矢量分析解法

赵德文, 王磊, 方琪, 刘相华

东北大学轧制技术与连轧自动化国家重点实验室, 辽宁沈阳 110004

收稿日期:2004-12-26 修回日期:2005-03-28 出版日期:2006-05-31 发布日期:2006-05-31
作者简介:赵德文,教授,博导,研究方向:成形理论与控制工程,E-mail:cral@mail.neu.edu.cn;刘相华,教授,博导,研究方向:成形理论与控制工程.
基金资助:
国家自然科学基金项目资助(50474015)

Solution to Rectangular Slab Forging with Bulge between Two Parallel Platens Using Strain Rate Vector Analysis

ZHAO De-wen, WANG Lei, FANG Qi, LIU Xiang-hua

State Key Lab of Rolling and Automation, Northeastern University, Shenyang 110004, China

Received:2004-12-26 Revised:2005-03-28 Online:2006-05-31 Published:2006-05-31

摘要/Abstract

摘要： 该文开发了一种应变速率矢量的线性化积分方法.首先将有鼓形平板锻造等效应变速率表示成二维应变速率矢量,化为矢量内积后进行逐项积分;其次将逐项积分结果求和并引进鼓形参数计算公式,进而得到应力影响因子的解析解.结果表明,上述线性积分方法所得到的功率表达式与传统直接积分法的表达式相同.按该公式计算的总锻造力与按Avitzur公式计算的结果基本一致,两者比压缩试验的测量值高4.2%.

关键词: 平板锻造, 鼓形, 应变速率矢量, 内积, 线性化积分法

Abstract: A linear integration of strain rate vector is developed.First, effective strain rate for slab forging with bulge is expressed in terms of two-dimensional strain rate vector.Its inner-product is integrated term by term.Second, sum of the integrated results is obtained, and an analytical solution to the stress factor obtained from a bulge formula.It turns out that the expression of power by the above inner-product integration is the same as that of the traditional immediate integration.Also, the calculated result of total forging pressure by formula in the present paper is in general agreement with that by Avitzur's formula, both 4.2% higher than the measured value in a press test.

Key words: slab forging, strain rate vector, inner-product, bulge, linear integration

中图分类号:

TG301

赵德文, 王磊, 方琪, 刘相华. 有鼓形平板锻造的应变速率矢量分析解法[J]. 应用科学学报, 2006, 24(3): 316-319.

ZHAO De-wen, WANG Lei, FANG Qi, LIU Xiang-hua. Solution to Rectangular Slab Forging with Bulge between Two Parallel Platens Using Strain Rate Vector Analysis[J]. Journal of Applied Sciences, 2006, 24(3): 316-319.