【摘要】 针对β球方法不能独立使用的特点,提出了一种自适应β球方法.发展了一般β球法使其能够计算含有非正态相关随机变量的可靠性.提出了一种自适应抽样算法来确定初始β球的大小,并采用3个算例验证了提出的自适应抽样算法的有效性和准确性.结合自适应抽样算法和扩展的一般β球法,形成了一种适用性较强的自适应β球方法.使用提出的自适应β球方法计算了潜水器耐压圆柱壳结构可靠性,并和重要抽样法、PCM方法以及Drezner积分方法进行了比较.更多还原

【Abstract】 In view of characteristic of general β-sphere method don’t be used directly,an adaptive β-sphere method is presented for structural reliability calculation.Firstly,a method is proposed to develop general β-sphere method for the calculation of structural reliability included non-normal correlated random variable.Secondly,an adaptive sampling algorithm is presented to determine the β-sphere dimension,and three numerical examples demonstrate the efficiency and accuracy of the adaptive sampling algorithm.Combining developed general β-sphere method with the adaptive sampling algorithm,a new robust adaptive β-sphere method is presented.At last,the method proposed is used to calculate the structural reliability of pressure cylindrical hulls of submersible.The result is compared with important sampling method,PCM approach and Drezner integral method.The conclusion indicated that the present approach is efficient and accurate.更多还原