| 基于 h 型自适应有限元法在薄板冲压
成型中的应用 |
| |
| 作者姓名： | 刘习洲 王城璟 王琥 |
| |
| 作者单位： | 湖南大学汽车车身先进设计制造国家重点实验室，湖南 长沙 410082 |
| |
| 基金项目： | 国家自然科学基金项目(11972155，51621004) |
| |
| 摘 要： | 在对薄板冲压成型这一过程进行有限元仿真分析时，难以精确分析场变量发生剧烈变化的应力
集中及应变梯度大的区域，如何平衡精度和效率间的关系是冲压成型仿真的关键。因此，基于非线性有限元大
变形的相关理论，针对动态仿真的网格自适应关键技术，建立了自适应分析模式下的薄板冲压成型算法。为了
提高计算精度，提出基于单元应变能增量的能量误差准则以及基于板料成型几何特征的几何误差准则，并结合
2 类误差准则，建立了基于自适应分析算法的误差判断准则；为了提高计算效率，引入阻尼因子提出了阻尼子
循环算法，将自适应加密后的板料单元按时间步长划分为若干个区域，并按照不同时间步长分别求解。结果表
明，该算法有效提高了薄板冲压成型有限元仿真的精度与效率。
|
| 关 键 词： | 非线性有限元分析 薄板冲压成型 自适应网格加密 误差估计 子循环算法 |
Application in sheet metal forming based on h-adaptive finite element method |
| |
| Authors: | LIU Xi-zhou WANG Cheng-jing WANG Hu |
| |
| Affiliation: | State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha Hunan 410082, China |
| |
| Abstract: | In the finite element simulation analysis of the sheet metal forming process, it is difficult to accurately
analyze the stress concentration and strain gradient areas where the field variables change drastically. How to balance
the relationship between accuracy and efficiency becomes the key to stamping simulation. Therefore, based on the
related theory of nonlinear finite element large deformation and the key technology of mesh adaptation for dynamic
simulation, an algorithm for sheet metal forming under the adaptive analysis mode was established. In order to
improve the calculation accuracy, an energy error criterion based on the unit strain energy increment and a geometric
error criterion based on the geometric characteristics of sheet metal forming were proposed. Combining these two
types of error criteria, an error judgment criterion based on an adaptive analysis algorithm was established. In order to
enhance the calculation efficiency, by introducing a damper factor, a damper subcycling algorithm was proposed,
which divided the adaptive sheet element unit into several regions according to the time step, and each region was
integrated separately according to the time step. The results show that the algorithm improves the accuracy and
efficiency of finite element simulation of sheet metal forming. |
| |
| Keywords: | nonlinear finite element analysis sheet metal forming adaptive mesh refinement error estimation subcycling algorithm |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《》浏览原始摘要信息 |
|
点击此处可从《》下载全文 |
