摘要
基于加快刚塑性有限元法迭代收敛的三次因子法原理 ,首次建立了在刚粘塑性有限元迭代计算中确定减速因子的公式 ,并结合进退搜索法的优点 ,提出了改进的三次因子快速算法。并将该方法应用于自主开发的叶片三维刚粘塑性有限元模拟系统。计算结果表明 。
Rapid developments in high technology industries require advanced plastic forming technology, which, in turn, requires using FEM (finite element method) to simulate process of plastic deformation. In our opinion, Zhang′s cubic factor rapid algorithm for rigid plastic FEM simulation of 3D (3 dimensional) complex deformation [7] still needs not only modification to make it applicable to rigid viscoplastic FEM simulation but also other improvements. Different from Zhang′s algorithm, we make use of penalty function in our algorithm. Section 1 derives the equations needed by our cubic factor algorithm, using penalty function. Also different from Zhang′s algorithm, section 3 discusses incorporating the advantages of advance retreat search method into our improved cubic factor algorithm. Fig. 3 shows the blade forging whose rigid viscoplastic 3D complex deformation section 3 simulates. Table 1 gives comparison of results of two methods: (1) Zhang′s cubic factor algorithm modified so as to be applicable to rigid viscoplastic FEM simulation, (2) our improved cubic factor algorithm. Iteration steps required by our algorithm are much less than those required by the modified Zhang′s algorithm, showing preliminarily that the computation efficiency of our improved cubic factor algorithm is higher than that of modified Zhang′s algorithm.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
2003年第2期148-151,共4页
Journal of Northwestern Polytechnical University
基金
国家自然科学基金 (5 9975 0 76 )
航空科学基金 (95 G5 3110 )
关键词
快速算法
刚粘塑性
FEM
迭代收敛
rapid cubic factor algorithm, rigid viscoplastic FEM (finite element method), iteration
