吉林大学学报(工学版) ›› 2021, Vol. 51 ›› Issue (1): 225-232.doi: 10.13229/j.cnki.jdxbgxb20200451

• 交通运输工程·土木工程 • 上一篇    

基于有限元方法的裂缝箱梁桥自振特性分析

孔庆雯1(),谭国金1,王龙林2(),王勇3,魏志刚4,刘寒冰1   

  1. 1.吉林大学 交通学院，长春 130022
    2.广西交科集团有限公司，南宁 530007
    3.吉林省公路管理局，长春 130021
    4.吉林省高等级公路建设局，长春 130033
  • 收稿日期:2020-05-06 出版日期:2021-01-01 发布日期:2021-01-20
  • 通讯作者: 王龙林 E-mail:kongqw18@mails.jlu.edu.cn;wangll18577888161@gmail.com
  • 作者简介:孔庆雯（1996-），女，博士研究生. 研究方向：桥梁检测与加固. E-mail: kongqw18@mails.jlu.edu.cn
  • 基金资助:
    国家自然科学基金项目(51978309);吉林省科技厅科技攻关项目(20190303052SF);吉林省交通运输厅科技项目(2020-1-3);吉林省发展改革委项目(2019C041-5);吉林省教育厅“十三五”科学技术项目(JJKH20190150KJ)

Analysis of free vibration characteristics of cracked box girder bridge based on finite element method

Qing-wen KONG1(),Guo-jin TAN1,Long-lin WANG2(),Yong WANG3,Zhi-gang WEI4,Han-bing LIU1   

  1. 1.College of Transportation，Jilin University，Changchun 130022，China
    2.Guangxi Transportation Science and Technology Group Co. ，Ltd. ，Nanning 530007，China
    3.Jilin Provincial Highway Administration，Changchun 130021，China
    4.Jilin Provincial High Class Highway Construction Bureau，Changchun 130033，China
  • Received:2020-05-06 Online:2021-01-01 Published:2021-01-20
  • Contact: Long-lin WANG E-mail:kongqw18@mails.jlu.edu.cn;wangll18577888161@gmail.com

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摘要：

为了准确分析裂缝箱形截面梁的自振特性，基于局部柔度形成的基本原理推导了箱型截面梁在深裂缝和浅裂缝情况下的附加柔度矩阵，得到了裂缝梁单元的刚度矩阵，进而形成了基于有限元方法的裂缝箱梁桥自振特性分析方法。对裂缝悬臂钢梁进行动力特性实验，将实验结果与自振频率计算结果进行对比分析以验证本文方法的准确性与可靠性。对连续钢筋混凝土箱梁进行数值分析，剖析了裂缝位置、深度和数量对箱梁桥的自振频率的影响以及裂缝对振型的影响。

关键词: 桥梁工程, 箱梁桥, 裂缝, 自振特性

Abstract:

The free vibration characteristics of cracked box girder bridges were analyzed in this paper. Firstly， the additional flexibility matrices of box girder in the cases of deep crack and shallow crack were derived based on the basic principle of local flexibility formation， and the stiffness matrix of cracked beam element was obtained， and then the free vibration characteristic analysis method of cracked box girder bridge based on finite element method was formed. Next， the dynamic characteristics of the cracked cantilever steel beam were tested， and the experimental results were compared with the natural frequency calculation results to verify the accuracy and reliability of the proposed method. Finally， the numerical analysis of continuous reinforced concrete box girder was carried out， and the influence of crack location， depth and number on the natural frequency of box girder bridge and the influence of crack on vibration mode were analyzed.

Key words: bridge engineering, box section beam bridge, crack, free vibration characteristics

中图分类号: 

  • U446

图1

裂缝梁单元"

图2

裂缝箱型横截面"

图3

悬臂钢梁几何尺寸"

图4

箱型截面梁测试现场"

图5

悬臂钢梁前2阶自振频率改变率"

图6

桥梁立面图（单位：cm）"

图7

桥梁横截面（单位：cm）"

图8

悬臂钢梁前2阶自振频率改变率"

图9

连续箱梁桥前两阶自振频率改变率"

图10

连续箱梁桥前两阶振型"

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