一种分析区间参数结构可靠性的减基快速计算方法

A rapid reduced basis method for analysis of interval parameter structural reliability

将减基法与蒙特卡洛模拟结合,提出了一种快速计算区间不确定结构可靠性的方法。该方法分为离线和在线计算两个阶段,离线阶段利用减基法建立减基空间,进而形成减缩模型;而在线阶段则将减缩模型融入蒙特卡洛方法,进而快速求解区间失效概率及相应的区间参数失效域。该方法在减基空间而非有限元空间中分析区间结构的可靠性,减少了求解时间,提高了计算效率,通过算例验证了该方法的可行性和有效性。

A rapid method is proposed for computing interval reliability of uncertain structures by combi-nation of reduced basis method and Monte Carlo simulation. The method is divided into two parts off-line and on-line. In off-line part, the reduced space and reduced model are constructed using reduced basis method. Then in on-line part,the formed reduced model is incorporated into Monte Carlo simulation for efficiently computing the interval reliability and corresponding parameterized reliability region. This method can reduce computational time and improve efficiency, since it deals with interval reliability problem in reduced basis space rather than finite element space. The example in the paper illustrates feasibility and validity of this method.