基于改进 NSGA-II 算法的钢管混凝土拱桥优化研究
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汤杰豪(2001—),男,硕士研究生,从事桥梁与隧道施工监控与检测的研究。

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U448.27

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Study on optimization of concrete-filled steel tubular arch bridges based on improved NSGA-II algorithm
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    摘要:

    为了有效解决大跨度钢管混凝土拱桥多目标优化设计计算中解集收敛性不足、工程实用性受限的难题,以金平河特大桥为工程背景,通过提出一种融合自适应交叉算子与动态约束处理机制的改进 NSGA-II 算法,以实现承载力、轻量化与经济性的协同优化。优化结果表明:主拱圈重量降低 12.2%,承载力安全系数提升至 1.83;主梁跨中活载挠度降低 14.5%,活载挠度限值降低 17.8%,综合性能显著提升 9.8%。进一步分析验证结果表明:改进后 NSGA-II 算法的 Pareto 解集收敛性与分布性能显著优于传统算法(HV 指标增长率高达 22%),且所有优化方案均严格满足规范要求。本文成果可为复杂拱桥结构的多目标优化设计提供理论支撑与工程实践参考。

    Abstract:

    In order to effectively solve the problems of insufficient convergence of the solution set and limited engineering practicality in the multi-objective optimization design of long-span concrete-filled steel tubular (CFST) arch bridges, in this study, the Tusha river super large bridge is taken as an engineering case and an improved NSGA-II algorithm, integrating an adaptive crossover and mutation operator and a dynamic constraint-handling mechanism is proposed to achieve the collaborative optimization of bearing capacity, lightweight design, and economic efficiency. The optimization results show: a 12.2% reduction in the weight of the main arch ring, an increase in the bearing capacity safety factor to 1.83, a 14.5% decrease in the positive bending moment at the midspan of the main girder, and a 17.8% reduction in live load deflection. The overall cost is reduced by 8% compared to the original design. Further analysis of algorithm performance indicates that the convergence and distribution of Pareto solution sets of the improved NSGA-II significantly increased the hypervolume indicator HV increases by 22% compared to the traditional algorithm), and all optimized schemes strictly meet the requirements of design specifications. The findings of this study can provide theoretical support and practical references for the multi-objective optimization design of complex arch bridge structures.

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汤杰豪,余钱华.基于改进 NSGA-II 算法的钢管混凝土拱桥优化研究[J].工程建设,2026,58(1):39-45

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  • 在线发布日期: 2026-07-24
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