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基于Monte Carlo法,提出了结构可靠度计算的特殊边缘区间抽样法,其基本思想是基于抽取的样本点大部分落在最大似然点附近且处于可靠域,只有少数远离最大似然点的特殊边缘区间抽样点才有可能落入失效域,故只对特殊边缘区间抽样点进行功能函数和示性函数的计算,以替代全局计算。所需进行的功能函数和示性函数的计算次数大大降低,特别适合于需用有限元程序进行隐式功能函数拟合的大型复杂结构的可靠度计算,可大大减小随机变量的计算区间,减少有限元计算次数。用此算法编制了Matlab仿真程序对算例进行验证,表明该算法抽样效率高,且具有较高的模拟计算精度。
Based on the Monte Carlo method, a special edge interval sampling method is proposed to calculate the structural reliability. The basic idea is that most of the sample points that are extracted fall near the maximum likelihood point and are in the reliable domain. There are only a few special points far away from the maximum likelihood point. The edge interval sampling points may fall into the failure domain. Therefore, only the special edge interval sampling points are used to calculate the function function and the indicative function instead of the global calculation. The number of calculations of functional and explanatory functions required to be performed is greatly reduced, and it is particularly suitable for the reliability calculation of large-scale complex structures that require fitting of implicit functional functions with finite element programs, which can greatly reduce the calculation interval of random variables. Reduce the number of finite element calculations. Using this algorithm, a Matlab simulation program was compiled to verify the example. It was shown that the algorithm has high sampling efficiency and high simulation accuracy.