摘要
区间有限元的静力控制方程常被归结为区间方程组来求解。但实际上两者并不等价。本文根据不确定结构有限元分析的力学背景,直接从问题的基本参量的不确定性出发,将基本区间参量的边界组合与求解区间方程组的有关解法相结合,提出了线性区间有限元静力控制方程的两种组合解法——参量边界全组合法和组合迭代法。可以以较小的计算量获得或逼近位移和应力区间的准确界限。且不受基本参量变化范围的限制。算例分析表明文中方法是实用和可行的。
The static governing equations of interval finite element method (FEM) are always transformed into interval equations to be solved. But, in fact, they are not equivalent. The mechanical background of the finite element analysis of uncertain structures are taken into account, and starting directly from the uncertainties of the basic parameters, two combinatorial procedures for solving the governing equations of linear static interval FEM are presented. In these procedures, the boundary combination of basic interval parameters is used for solving the interval equations of the interval analysis of structures. The presented procedures may have a high accuracy and low computational burden, and are not restricted by the variation ranges of the basic parameters. Two numerical examples have illustrated the applicability and the effectiveness of the proposed procedures.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2003年第1期34-38,共5页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(59575040
59775032)
航空基金(00B53010)资助项目.
