基于能量法的变参数桥梁结构内力优化及试验

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (3): 134-142.

基于能量法的变参数桥梁结构内力优化及试验

杨国俊^*1,2, 李喜梅^1,2, 赵行¹, 吕明航¹

1.兰州理工大学土木工程学院, 甘肃兰州 730050;
2.兰州理工大学西部土木工程防灾减灾教育部工程研究中心, 甘肃兰州 730050

收稿日期:2021-09-01 出版日期:2025-06-28 发布日期:2025-06-30
通讯作者: 杨国俊(1988-),男,甘肃临夏人,教授,工学博士.Email:yanggj403@163.com
基金资助:
国家自然科学基金(52468042,52168042),中国博士后科学基金面上项目(2019M653897XB)

Internal force optimization and experiment of variable parameter bridge based on energy methods

YANG Guo-jun^1,2, LI Xi-mei^1,2, ZHAO Hang¹, LYU Ming-hang¹

1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Western Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China

Received:2021-09-01 Online:2025-06-28 Published:2025-06-30

摘要/Abstract

摘要： 为确定变参数桥梁最优内力,针对第十四届全国大学生结构设计竞赛赛题中的模型进行理论分析与优化,建立单目标线性优化设计数学模型和桥梁结构简化计算模型.采用穷举算法,结合Visual C++编程优化计算,其中包括桥梁主跨跨径的优化、加载点荷载值选择,进行静力分析、结构优化设计和实际模型试验.推导了数值计算公式,提出以弯曲应变能最小为目标的桥梁跨径、荷载加载位置等参数随机优化的方法,寻求在荷载作用下结构的竖向位移和内力的最小值,得到荷载布置方式,反算主跨跨径,利用有限元软件建模分析,并进行试验验证,得到布载方式1为最优布载,P₁~P₈值分别为40、50、120、130、60、70、80、90 N.

关键词: 桥梁工程, 有限元分析, 穷举算法, 优化分析, 能量法

Abstract: In order to determine the optimal internal force of variable parameter bridge, the model in the 14th National College Students’ structural design competition is theoretically analyzed and optimized, and the single objective linear optimization design mathematical model and the simplified calculation model of bridge structure are established. The exhaustive algorithm and Visual C++ programming is used for optimization calculation, including the optimization of bridge main span and the selection of load value at loading point, the static analysis, structural optimization design and actual model test are carried out. The numerical calculation formula is deduced, and the random optimization method of bridge span, load loading position and other parameters aiming at the minimum bending strain energy is proposed. The minimum values of vertical displacement and internal force of the structure under load are sought, obtaining the load layout. The span of the main span is inversely calculated. Then the finite element software is used for modeling analysis and experimental verification. Testing confirms that the load distribution mode 1 is the optimal load distribution, withP₁-P₈ values set to 40 N, 50 N, 120 N, 130 N, 60 N, 70 N, 80 N and 90 N.

Key words: bridge engineering, finite element analysis (FEA), exhaustive algorithm, optimization analysis, energy methods

中图分类号:

TU318+1

杨国俊, 李喜梅, 赵行, 吕明航. 基于能量法的变参数桥梁结构内力优化及试验[J]. 兰州理工大学学报, 2025, 51(3): 134-142.

YANG Guo-jun, LI Xi-mei, ZHAO Hang, LYU Ming-hang. Internal force optimization and experiment of variable parameter bridge based on energy methods[J]. Journal of Lanzhou University of Technology, 2025, 51(3): 134-142.

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