摘要
考虑了输入参数和荷载的有界不确定性,用区间变量来表示.将区间有限元分析同摄动方法、优化技术相结合,提出了求解区间有限元方程的区间参数摄动法和区间参数优化法,针对参数在较大范围内变化的情况,提出了参数分区求解的方法.通过数值算例进行了对比分析和讨论,说明了所提出方法的可行性和有效性.
Interval variables were used to denote the input parameters and loads which were considered the unknown but bounded property in engineering analysis. By combining the interval finite element(FEM) analysis with perturbation method and optimization technique, the interval parameter perturbation method and interval parameter optimization method were presented to solve the equations of interval FEM. When uncertain parameters and loads changed in large bound , the divisional parameters method was presented to deal with it. By contrastive analysis of the numerical example, it is showed that the proposed method is effective and feasi-ble.
出处
《三峡大学学报（自然科学版）》
CAS
2004年第3期237-240,260,共5页
Journal of China Three Gorges University：Natural Sciences
基金
国家自然科学基金(50128908)
法国国家科研中心(CNRS)资助
关键词
区间有限元法
摄动方法
端点组合法
区间参数
荷载
interval FEM
perturbation method
interval parameter
optimization technique
combina- tion approach
