摘要
研究了一步法有限元分析技术,开发了冲压件毛料展开软件系统。建立三维冲压件网格和二维毛料网格之间发生塑性变形的平衡方程,求得毛料网格的修正值,得到的收敛值为冲压件的三维模型展开得到的平面形状。在刚度矩阵中引入阻尼矩阵改善矩阵的病态性,采用Newton下降法扩大算法的收敛范围,提高了非线性方程组的收敛性和算法的网格处理能力。实例表明该方法能较快较准确地求得冲压件的最优毛坯形状,在板料冲压成形领域具有良好的实用性。
One-step finite element analysis technology was studied. The software system of blank development for stamping parts was developed. Equilibrium equations of plastic deformation between the 3D surface meshes of stamping parts and the 2D meshes of blanks were constructed, from which the updated values of the meshes of the blanks were obtained. The convergence value of the blanks is the flattened form of the stamping parts' 3D models. Damp matrix is induced to eliminate morbidity matrix and the Newton descendence method is adopted to expand the convergent range of its algorithm, thus the convergence of nonlinear equation sets and their ability to handle meshes are improved. This method can quickly calculate optimal blank shapes of stamping parts with high precision, and has desirable practical value in sheet metal formation.
出处
《机械科学与技术》
CSCD
北大核心
2006年第4期386-389,共4页
Mechanical Science and Technology for Aerospace Engineering
关键词
有限元
冲压件
一步法
finite element
stamping part
one-step method