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作 者:李涵钊 LI Han-zhao(The Yangtze River Three Gorges Navigation Administration,Yichang 443002,China)
出 处:《水电能源科学》2022年第11期193-197,共5页Water Resources and Power
基 金:交通运输部重点科技项目清单面上项目(2020-MS1-034);三峡局C类科技项目(KJ2021-03C)。
摘 要:针对一次二阶矩法需对极限状态方程求导,且求解非线性问题时收敛性较差的不足,提出了一种基于大标量分布估计算法改进的细菌觅食算法(LSEDA-BFO)的可靠性分析方法。首先,通过可靠性分析理论建立优化模型;其次,采用增广乘子法将该约束优化问题转化为无约束优化问题;然后,通过基于高斯—莱维混合分布(Gauss-Lévy)的分布估计算法改进细菌觅食算法;最后,通过改进的细菌觅食算法求解优化模型。通过三峡船闸电机—油泵联轴器的实例计算表明,与直接抽样法和拉丁超立方模拟法相比,基于LSEDA-BFO算法的可靠性分析方法的函数调用次数少于两种蒙特卡罗模拟法,且效率更高、可靠指标的方差更小。Considering that the first-order second-moment(FOSM) method needs the derivative of the limit state function and has poor convergence for solving nonlinear problems, a reliability analysis method based on the bacteria foraging optimization(BFO) algorithm improved by the large scalar estimation of distribution algorithm(LSEDA) was proposed. Firstly, the optimization model was established through the reliability analysis theory. Secondly, the constrained optimization problem was transformed into an unconstrained optimization problem by the augmented multiplier method. Then, the bacterial foraging algorithm was improved by the improved estimation of distribution algorithm(EDA) based on the Gauss-Lévy mixed distribution. Finally, the optimization model was solved by the improved bacterial foraging algorithm. The calculation of the motor-oil pump coupling of the Three Gorges Ship Lock indicates that compared with the direct sampling(DS) method and Latin hypercube simulation(LHS) method, the proposed method has fewer function calls and higher efficiency than two kinds of Monte Carlo Simulation(MCS) method and the variance of the reliability index is smaller.
关 键 词:可靠性分析 细菌觅食算法 分布估计算法 蒙特卡罗模拟法 三峡船闸
分 类 号:TV664.9[水利工程—水利水电工程] TH13[机械工程—机械制造及自动化]
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