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基于生物地理-海鸥群优化的高维结构可靠性分析
Biogeography-based seagull optimization for high-dimensional structural reliability analysis
投稿时间:2021-07-26  修订日期:2021-09-09
DOI:
中文关键词:  结构可靠性分析  一阶可靠度法  高维问题  海鸥群优化算法  生物地理优化算法
英文关键词:Structural reliability analysis  First-order reliability method  High-dimensional problems  Seagull optimization algorithm  Biogeography-based optimization
基金项目:国家自然科学基金(118721420);国家重点研发计划(2019YFA0706803)资助项目.
作者单位邮编
钟昌廷 大连理工大学 工程力学系 工业装备结构分析国家重点实验室 116024
李 刚 大连理工大学 工程力学系 工业装备结构分析国家重点实验室 116024
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中文摘要:
      结构可靠度分析中,一阶可靠度方法由于简单高效而被广泛使用。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优计算。生物地理优化和海鸥群优化分别控制在探索和开发阶段的种群位置更新,提高了海鸥群优化算法的探索能力。所提方法易于实施,无需梯度信息,全局收敛能力良好。最后,采用了两个包含高维随机变量的框架结构和网架结构可靠度分析案例,验证了所提算法的有效性。
英文摘要:
      In the structural reliability analysis, first-order reliability method (FORM) is popular due to its efficiency and simplicity, but it may fail in convergence or be premature in high-dimensional nonlinear problems. This paper presents an improved FORM combined with the hybrid biogeography-based seagull optimization algorithm. To deal with premature of 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 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 by two engineering structures with high-dimensional random variables, including a frame structure and a dome structure.
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