| 朱伟华,黄练,黄国平,杨山波,姜磊.基于多目标参数优化的悬索桥合理成桥状态确定解析算法[J].计算力学学报,2025,42(5):877~882 |
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| 基于多目标参数优化的悬索桥合理成桥状态确定解析算法 |
| Analytical algorithm for determining the reasonable completion state of suspension bridges based on multi-objective parameter optimization |
| 投稿时间：2024-08-13 修订日期：2024-12-10 |
| DOI：10.7511/jslx20240813001 |
| 中文关键词: 悬索桥 合理成桥状态 悬链线理论 优化原则 解析算法 |
| 英文关键词:suspension bridge reasonable bridge construction status chain theory optimization principle analysis algorithm |
| 基金项目:湖南省教育厅科学研究项目优秀青年科学项目(24B0734);广西民族大学科研基金(引进人才科研启动项目)(2023KJQD48);广西壮族自治区第一批青苗人才资助科研项目(301780209);广西青年科技人才托举工程(GXYESS2025176)资助. |
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| 中文摘要: |
| 针对既有悬索桥成桥状态计算方法的计算机理不清晰、目标状态不合理等问题,提出合理成桥状态数值解析算法。根据悬链线方程理论中初始端缆力夹角与缆力间关系,推导由初始端夹角及水平缆力构成的缆索理论;由悬索桥各构件的目标参数满足最优化原则,构建成桥状态解析方程组;根据悬索桥主缆几何闭合条件,构建主缆位形计算方程;根据吊索及加劲梁力学平衡条件,构建各构件的力学平衡方程;基于悬索桥成桥状态加劲梁构件弯矩最小原则及吊索构件索力均匀性原则,建立加劲梁及吊索计算方程组;利用智能算法GRG对悬索桥成桥状态目标函数进行最优化数值求解。设置千米级悬索桥工程案例,将推导的解析算法与有限元模型、刚性支承连续梁算法的计算结果进行对比,结果表明,在成桥吊索力、主缆线形及加劲梁弯矩数值方面,解析算法与有限元模型计算差值较小;与刚性支承连续梁算法对比,解析算法在成桥吊索索力均匀性、加劲梁弯矩极值具有计算优势。 |
| 英文摘要: |
| The computation mechanism of the calculation method for the completed state of existing suspension bridges is unclear,and the target state is unreasonable.A reasonable numerical analysis algorithm is proposed for bridge formation state.The cable theory consisting of the initial end angle and horizontal cable force is validated based on the relationship between the initial end angle and cable force in the theory of catenary equations.A system of bridge state analytical equations are constructed based on the optimization principle of the target parameters of each component of the suspension bridge.The calculation equation for the main cable configuration based on the geometric closure conditions of the suspension bridge’s main cable.The mechanical equilibrium equations are constructed for each component based on the mechanical equilibrium conditions of the suspension cables and stiffening beams.Based on the principle of minimizing the bending moment of the stiffening beam components and the principle of uniform cable force of the suspension cable components in the completed state of the suspension bridge,a calculation equation system for the stiffening beam and suspension cable is established.The intelligent algorithm GRG is used to optimize the numerical solution of the objective function of the completed state of a suspension bridge.A case study of a kilometer-long level suspension bridge project.The derived analytical algorithm is compared with the calculation results of the finite element model and rigid supported continuous beam algorithm.The results show that the difference between the analytical algorithm and the finite element model calculation is relatively small in terms of force of main cable,shape-finding of main cable,and the bending moment of the stiffening beam.Compared with the rigid support continuous beam algorithm,the analytical algorithm has computational advantages in ensuring the uniformity of cable forces in bridge suspension cables and the extreme bending moment of stiffening beams. |
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