摘要
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。
The border domain sampling method, based on the Monte Carlo method, is proposed to calculate structural reliability indices. The basic principle of this method is that the major random sampling point near the most joint probability density function of the random variables （PDF） is in a safe domain. Only little random sampling point which is far away the PDF may be in a failure domain. This domain far away the PDF is a specially specified border domain. The calculative number of performance functions and indicator functions which use little random sampling point in the special border domain is cut down. This method can be applied to analyzing the structural reliability by finite element method for the implicit function. It requires fewer f＇mite element calculations with this method, achieving satisfactory accuracy. Meanwhile, the Matlab emulation program is complied to verify this method. Through an example, the efficiency of sampling and the precision of simulating calculation of this method are verified.
出处
《工程力学》
EI
CSCD
北大核心
2009年第9期56-60,共5页
Engineering Mechanics
