基于配点型无网格法的金属体积成形过程数值模拟  

Collocation-based Meshfree Method for Metal Bulk Forming Process Simulation

作　　者：温宏宇[1] 董湘怀[1] 虞松[1] 阮雪榆[1] 

机构地区：[1]上海交通大学,上海200030

出　　处：《中国机械工程》2006年第16期1716-1718,1755,共4页China Mechanical Engineering

基　　金：国家自然科学基金资助项目(50275059)

摘　　要：基于配点型无网格法的基本原理,阐述了采用配点型无网格法求解偏微分方程的步骤和方法,推导了刚塑性二维轴对称问题的配点型无网格法求解公式。以汽车气门弹簧座冷挤压过程为例,对金属体积成形的塑性变形情况进行了模拟分析。算例表明,配点型无网格法不需要借助背景网格或有限元网格进行数值积分,解决了伽辽金型无网格法计算效率低的问题。计算结果与有限元法比较接近,说明配点型无网格法用于金属塑性大变形过程数值模拟是可行性的。The basic principle of collocation-based meshfree method, the steps and method to solve the partial differential equations were discussed. The formulas for rigid-plastic problem based on reproducing kernel approximation and collocation method were deducted. A meshfree analysis of a 2-D axisymmetric metal bulk forming problem was implemented. No background mesh for integration, the low efficiency problem in Galerkin-based meshfree method are avoided. The solution of symmetric cold forge problem was compared with a sonable results have been obtained. conventional finite element solution, and the reasonable results have been obtained.

关 键 词：体积成形 刚塑性 无网格法 重构核近似 配点法 

分 类 号：TG376[金属学及工艺—金属压力加工]