复杂空间曲面薄板冲压成形回弹预测  

Springback prediction in sheet metal stamping process on complex space curved surface

作　　者：杨忠炯[1] 袁宏亮[1] 周立强[1] 姜东身 

机构地区：[1]中南大学机电工程学院,湖南长沙410083

出　　处：《长安大学学报（自然科学版）》2016年第4期119-126,共8页Journal of Chang’an University(Natural Science Edition)

基　　金：国家重点基础研究发展规划"973"项目(2013CBD35404)

摘　　要：为了预测复杂空间曲面薄板冲压成形的回弹,以混凝土搅拌车螺旋叶片为例,提出了一种基于薄板能量函数的复杂空间曲面薄板的冲压成形回弹预测方法。首先通过粒子群优化算法得到毛坯直线在曲面上的映射,接着引入映射曲线上节点坐标参数u,并将节点转化为控制顶点;然后将由控制顶点表示的曲面函数代入由板壳理论建立的薄板能量函数,借助最小能量原理建立曲面节点应变的解析参数方程,求解方程即能得到曲面各节点应变;最后利用塑性变形理论推导复杂空间曲面各节点的回弹量,拟合回弹后重新分布的节点就能得到回弹后曲面。研究结果表明:基于能量函数的半解析半数值的薄板冲压回弹预测算法能够较为准确地预测螺旋叶片冲压成形的回弹,与现行的数值模拟法相比,简单易行,计算速度快,对复杂空间曲面预测具有一定的工程指导意义。In order to predict thin plate of complex space curved surface＇s springback in sheet metal stamping process, taking concrete mixer helical blade for example, a method to predict complex space curved surface＇s spingback was proposed based on sheet metal plate＇s energy function. Firstly, according to the theory of particle swarm optimization method, blank line＇s mapping on curved surface was obtained, then, mapping curve node＇s coordinate parameters u were introduced and nodes were transformed into control vertexes. And surface function represented by control points were substituted into thin plate＇s energy function established by the shell theory. With the help of minimum energy principle, surface nodes strain＇s parameter equation was established, and surface nodes＇ strains could be obtained by solving the equations. Finally, using the deformation theory of plasticity, springback of each node on complex space curved surface was deduced, and by fitting the nodes redistributed after springback, the surface after springback was gained. The results show that the semi-analytical and semi-numerical springback prediction algorithm based on energy function can relatively accurately predict springback of helical blade in sheet metal stamping process, has the advantages of simple implementation and fast computation speed when compared with nowadays popular numerical simulation method and is of certain instructive significance on complex space curved surface prediction. 1 tab, 12 figs, 20 refs.

关 键 词：机械工程 回弹预测 粒子群优化 最小能量原理 塑性变形理论 

分 类 号：TG386[金属学及工艺—金属压力加工]