(1.北方交通大學(xué) 機電工程學(xué)院， 北京 100044；
2. 燕山大學(xué) 機械工程學(xué)院，秦皇島 066004)
摘 要: 針對非軸對稱金屬異型擠壓塑性流動及模腔研究的理論課題，借助于近代共形映射數(shù)學(xué)理論研究成果，利用法線收斂法，建立了映射函數(shù)解析方法。將三維金屬異型材擠壓塑性成形問題轉(zhuǎn)化為二維軸對稱成形問題，求解橢圓異型擠壓金屬塑性成形連續(xù)流動場和應(yīng)變速度場的數(shù)學(xué)解析模型，并應(yīng)用金屬塑性成形理論，建立了精密擠壓異型材優(yōu)化模腔的數(shù)學(xué)模型，同時為精密快速地實現(xiàn)擠壓模腔的CAD/CAM一體化目標(biāo)提供了技術(shù)支持。
關(guān)鍵字: 塑性成形； 擠壓； 模腔； 優(yōu)化
die cavity in ellipse special-shaped extrusion
DU Feng-shan2， LIU Cai2， QIU Cheng1
（1. College of Mechanical and Electronic Engineering，
Northern Jiaotong University, Beijing 100044， P.R. China;
2. College of Mechanical Engineering， Yanshan University，
Qinhuangdao 066004， P.R. China）
Abstract: On basis of the theory of metal plastic fluid and research of die cavity on non-axis-symmetry extrusion of special-shaped products, in virtue of mathematical research results of the conformal mapping theory，by using method of normal convergence， numerical value analysis of mapping function was built. Three-dimension metal plastic deformation of special-shaped products was transformed into two-dimension axis-symmetry problem， analysis model of the continuous stream and strain rate fields were sought in metal plastic deformation of ellipse-shaped product. By metal plastic theory， the mathematical model optimized to ellipse die cavity is established in exact extrusion. The integrative goal that realizes quickly CAD/CAM of exact ellipse product die cavity is supported.
Key words: plastic deformation; extrusion; die cavity; optimization
