基于有限元法的结构可靠度分析优化算法的实现  

Implementation of An Optimum Algorithm for Structural Reliability Analysis Based on FEM

作　　者：程颖[1] 涂宏茂[1] 樊红丽[1] 

机构地区：[1]北京理工大学机械与车辆工程学院,北京100081

出　　处：《北京理工大学学报》2006年第4期305-308,共4页Transactions of Beijing Institute of Technology

摘　　要：为快速、高效地进行基于随机有限元法的结构可靠度分析,从结构可靠性指标的几何意义出发,提出了在ANSYS平台上采用有限元法和梯度优化算法相结合的方法进行可靠度分析的构想,对ANSYS进行二次开发实现了该方法.算例结果表明,该方法与Monte-Carlo法的计算精度基本一致,但需要的计算量比验算点法还要少.因而,该方法能用较少的有限元计算次数得到较精确的可靠度和验算点值.In order to analyse the structural reliability by stochastic finite element method rapidly and efficiently, a method combined with finite element method and gradient optimum algorithm based on ANSYS is presented when referring to the geometric interpretation of structural reliability index. ANSYS-based development is adopted to implement it. Results of an example demonstrate that it requires fewer FE calculations with this method compared with the design point method and Monte-Carlo simulation, achieving satisfactory accuracy.

关 键 词：结构可靠度 优化算法 ANSYS 随机有限元法 

分 类 号：TH122[机械工程—机械设计及理论]