摘要
本文分析了周期结构经有限元离散所形成系数矩阵的元素分布,提出部分组集的有限元法;随后将块SOR、块共轭梯度等方法用于求解相应的线性代数方程组,并以此改造求解大型特征值问题的Lanczos算法。这些工作使得在一类周期结构静动力分析中能够避免对大规模代数方程组的直接计算。
After analyzing the coefficient matrices of periodic structures resulted from the finite element method(FEM), a FEM with partial assemblage was put forward. Some block iteration processes, such as BSOR and BCG/BPCG, were employed to solve the linear algebraic equation. The Lanczos algorithm for treating large eigenvalue problems was then modified by these iteration procedures. The endeavor makes it possible to avoid direct treatment with large scale matrices during the static and dynamic analyses of periodic structures. Examples show that the above work dramatically reduces the necessary incore and outcore space of computers.
出处
《工程力学》
EI
CSCD
北大核心
1997年第4期11-17,共7页
Engineering Mechanics
基金
国家自然科学基金
关键词
周期结构
部分组集
静动力分析
结构
有限元
periodic structures, partial assemblage, iteration algorithm, static and dynamic analyses, Lanczos algorithm