椭圆异型材挤压及模腔共形优化  

Plastic Shaping Extrusion and Optimized Analysis of Die Cavity in Ellipse-Shaped Product

作　　者：成海宝[1] 齐红元[2] 

机构地区：[1]西安重型机械研究所,陕西西安710032 [2]北京交通大学机械与电子控制工程学院

出　　处：《模具制造》2005年第4期48-51,共4页Die & Mould Manufacture

摘　　要：针对金属椭圆异型挤压塑性成型及模腔优化的理论课题,应用复变共形映射数学研究成果,利用奇偶点相互迭代的三角插值法和法线收敛法,将三维金属异型材挤压塑性成型问题转化为二维轴对称成型问题,求解异型挤压模腔曲面函数,建立映射函数解析方法,推导椭圆异型材挤压金属塑性成型连续流动场和应变速度场的数学解析式,并应用金属塑性成型能量极值原理,进行异型材挤压模腔参数的优化,同时为精密快速地实现挤压模腔的CAD/CAM一体化目标提供技术支持。On basis of the theory of metal plastic shaping and optimization of die cavity in ellipse-shaped extrusion,by mathematical research fruit of the conformal mapping in complex function,using trigonometric iterative method of interpolation between odd and even coordinate value,and method of normal convergence,three-dimension metal plastic shaping is transformed into two-dimension axis-symmetry extrusion.Function of curved surface of extruding die cavity is describes,and numerical value analysis of mapping function is built. Analysis formulas of the continuous stream and strain rate fields are expressed in metal plastic deformation of ellipse-shaped product.By energy extreme value principle in metal plastic shaping theory,parameter of die cavity is optimized to ellipse-shaped extrusion.At one time,integrative goal that realizes quickly CAD/CAM of exact die cavity ellipse-shaped product is supplied technique support.

关 键 词：型材挤压 椭圆 CAD/CAM一体化 金属塑性成型 模腔优化 研究成果 共形映射 问题转化 曲面函数 解析方法 映射函数 技术支持 收敛法 插值法 轴对称 解析式 速度场 流动场 异型 数学 应用 

分 类 号：TG376[金属学及工艺—金属压力加工] O182.1[理学—数学]