应用数学和力学2025，Vol.46Issue(4)：483-494,12.DOI:10.21656/1000-0887.450181
基于SABRE软件的大规模RBE3单元快速求解方法及程序开发
A Fast Solution Method and Program Development for Large-Scale RBE3 Elements Based on the SABRE Software
摘要
Abstract
With the increasing sophistication of complex structural simulation modeling,the number of RBE3 elements applied to component connections and load distribution increases dramatically,which brings difficul-ties in the numerical solution with autonomous structural analysis software.First the displacement constraint relationship between the master and slave nodes of the RBE3 element was established,the reasons for the line-ar elimination theory bringing the difficulty in solving the problem was analyzed,and then the augmented La-grange theory was used to introduce the displacement constraint relationship into the functional for the finite el-ement problem,and derive the explicit expression of the stiffness matrix for the RBE3 element by means of the variation of the functional.Thereby,the constraint processing problem was converted into an element solution problem.Finally,based on the above theory,the design and development of relevant functional modules were combined with autonomous structural analysis software SABRE.The engineering example verification shows that,the developed program is basically consistent with NASTRAN in solving the analysis model containing large-scale RBE3 elements,with significantly improved solution efficiency.关键词
有限元法/增广Lagrange理论/RBE3单元快速求解方法/SABRE软件Key words
finite element method/augmented Lagrange theory/RBE3 element fast solution method/SABRE software引用本文复制引用
张长兴,王立凯,常亮,聂小华..基于SABRE软件的大规模RBE3单元快速求解方法及程序开发[J].应用数学和力学,2025,46(4):483-494,12.基金项目
国家重点研发计划(2021YFB3302301) （2021YFB3302301）
陕西省重点研发计划(2022ZDLGY02-08) （2022ZDLGY02-08）
