基于生物地理-海鸥群优化的高维结构可靠性分析

结构可靠度分析中,一阶可靠度方法由于简单高效而得到广泛使用.然而,对于高维非线性问题,一阶可靠度方法可能导致不收敛或者早熟.为克服这一缺陷,本文提出了基于生物地理-海鸥群优化的改进一阶可靠度方法.针对海鸥群优化算法在寻优过程中存在的早熟现象,引入生物地理优化算法中的变异与迁移机制,提出生物地理-海鸥群混合优化策略进行寻...

Biogeography-based seagull optimization for high-dimensional structural reliability analysis

In structural reliability analysis, first-order reliability method (FORM) is popular due to its efficiency and simplicity, but it may fail to converge or be premature when applied to high-dimensional nonlinear problems.This paper presents an improved FORM combined with the hybrid biogeography-based seagull optimization algorithm.To deal with prematurity of the seagull optimization algorithm during optimization process, the mutation and immigration on the biogeography-based optimization are introduced, and the hybrid biogeography-based seagull optimization algorithm is presented to find the optimal solution.In the proposed method, the updating strategies of position in exploration phase and exploitation phase are controlled by the biogeography-based optimization and seagull optimization algorithm, respectively.The convergence of the seagull optimization algorithm is enhanced by the hybrid strategy.The proposed algorithm is easy to implement, and it has global convergence without derivative information during optimization process.Finally, the proposed method is verified on two engineering structures (a frame and a dome) with high-dimensional random variables.