设置柔性横隔板的曲线波形钢腹板钢箱组合梁畸变效应

doi:10.13229/j.cnki.jdxbgxb.20240260

摘要/Abstract

摘要：

为准确分析设置柔性横隔板的曲线波形腹板钢箱组合梁（CSBCG-CSWs）的畸变效应，本文基于畸变翘曲位移、弯扭耦合位移与梁体内力的关系，建立CSBCG-CSWs的畸变翘曲位移模式，并导出由弯扭耦合效应引起的附加畸变框架挠曲势能；应用虚功原理求解柔性横隔板的抗畸变刚度；基于能量变分法建立畸变微分方程，分析CSBCG-CSWs畸变效应的影响因素。研究结果表明：本文解析解与实验值、Abaqus数值解吻合良好；与未设置实腹式跨内横隔板的结果相比，当设置1~2道实腹式跨内横隔板时，跨内最大畸变双力矩分别降低77.7%、85.6%；与设置X型、K型横隔板的结果相比，当设置实腹式横隔板时，跨内最大畸变双力矩降低25%；集中荷载引起的畸变效应主要受加载点是否设置横隔板影响；均布荷载更能反映设置跨内横隔板曲梁的整体畸变效应；当波形腹板钢箱组合梁畸变应力比分别控制在10%、5%以内时，直线钢箱组合梁横隔板间距需满足分别<8 、6 m，曲线钢箱组合梁横隔板间距需满足分别<6 、5 m，且计入自重荷载可降低畸变应力比；当跨内实腹式横隔板厚度>6mm时，增加厚度对直线、曲线波形腹板钢箱组合梁畸变效应的抑制效果无明显提升；当圆心角从0°增加至28°时，CSBCG-CSWs 1/4跨和1/2跨截面畸变翘曲正应力分别增加74.6%和87.4%。

关键词: 桥梁工程, 波形钢腹板组合梁, 变分法, 畸变, 横隔板刚度

Abstract:

In order to accurately analyze distortion effect of supported curved steel box composite girders with corrugated webs （CSBCG-CSWs） and flexible diaphragms， in this paper the distortion warping displacement mode of CSBCG-CSWs was established based on the relationship between distortional warping displacement， bending-torsion coupled displacement and internal force of composite girder， and the potential energy of the additional distortion frame deflection caused by the bending-torsion coupled effect was derived. The anti-distortion stiffness of flexible diaphragms was solved by using virtual work principle. The distortion differential equation was established based on the energy variational method， and the influencing factors of CSBCG-CSWs distortion effect were analyzed. The results if the study show that the analytical solution in this paper was in good agreement with the experimental value and Abaqus numerical solution. Compared with the results without the intermediate diaphragm of plate-type， the maximum distortion bi-moment is reduced by 77.7%， 85.6% respectively when 1~2 passes intermediate diaphragm of plate-type are set. Compared with the results of setting intermediate diaphragms of X-type and K-type， the maximum distortion bi-moment is reduced by 25% when diaphragm of plate-type is set. The distortion effect caused by concentrated load is mainly affected by the presence or absence of diaphragms at the loading point. The uniform load can better reflect the overall distortion effect of the composite box girder with intermediate diaphragm. When the distortion stress ratio of the steel box composite girder with corrugated webs is controlled within 10% and 5% respectively， the intermediate diaphragm spacing needs to be satisfied： the straight steel box composite girder is less than 8m and 6m， and the curved steel box composite girder is less than 6m and 5m respectively，and distortion stress ratio can be reduced when the self-gravity load is taken into account. The increase of intermediate diaphragm thickness has no obvious enhance on suppressing effect the distortion effect of the straight and curved steel box composite girder with corrugated web when the thickness of the intermediate diaphragm of plane-type is more than 6mm. When the central angle increases from 0° to 28°， the distortional warping normal stresses of 1/4-span and 1/2-span cross-setions of CSBCG-CSWs increase by 74.6% and 87.4%， respectively.

Key words: bridge engineering, composite girder with corrugated steel web, variation calculus, distortion, diaphragm rigidity

中图分类号:

U448.213

王瑞正,张元海. 设置柔性横隔板的曲线波形钢腹板钢箱组合梁畸变效应[J]. 吉林大学学报(工学版), 2025, 55(11): 3641-3652.

Rui-zheng WANG,Yuan-hai ZHANG. Distortion effect of supported curved steel box composite girders with corrugated webs and flexible diaphragms[J]. Journal of Jilin University(Engineering and Technology Edition), 2025, 55(11): 3641-3652.

图/表 17

图1

图2

图3

图4

图5

图6

图7

图8

图9

表1

图10

图11

图12

表2

图13

图14

图15

参考文献 20

[1]	聂建国, 陶慕轩, 吴丽丽, 等. 钢-混凝土组合结构桥梁研究新进展[J]. 土木工程学报, 2012, 12(6): 110-122.
	Nie Jian-guo, Tao Mu-xuan, Wu Li-li, et al. Advances of research on steel-concrete composite bridges[J]. China Civil Engineering Journal, 2012, 12(6): 110-122.
[2]	封博文, 刘永健, 周绪红, 等. 曲线工字钢-混凝土组合梁弯扭性能1∶2模型实验[J]. 中国公路学报, 2023, 5(36): 109-127.
	Feng Bo-wen, Liu Yong-jian, Zhou Xu-hong, et al. Experimental study on the flexural-torsional behavior of a 1∶2 scale model of a curved steel-concrete composite twin I-girder bridge[J]. China Journal of HighWay and Transport, 2023, 5(36): 109-127.
[3]	闫新凯, 刘永健, 邢子寒, 等. 曲线双工字钢组合梁桥横梁受力分析研究[J]. 建筑科学与工程学报, 2022, 5(39): 63-73.
	Yan Xin-kai, Liu Yong-jian, Xing Zi-hai, et al. Research on internal force of crossbeam in curved steel-concrete composite twin I-girder bridge[J]. Journal of Architecture and Civil Engineering, 2022, 5(39): 63-73.
[4]	张元海. 设置跨内横隔板的箱形梁畸变效应分析[J]. 土木工程学报, 2021, 54(11): 91-98.
	Zhang Yuan-hai. Analysis on distortion effect of box girders with inner-span diaphragms[J]. China Civil Engineering Journal, 2021, 54(11): 91-98.
[5]	Wang C, Zhang Y S, Zhang X L, et al. Coupled bending-torsion behavior of single-box multi-cell curved composite box-girders with corrugated-steel-webs[J]. Journal of Construction Steel Research, 2022, 196: 107411.
[6]	许立言, 郭婷, 张屹垚, 等. 曲线波形腹板组合箱梁空间受力性能研究[J]. 建筑结构学报, 2023, 44(): 165-173.
	Xu Li-yan, Guo Ting, Zhang Yi-yao, et al. Study on spatial mechanical behavior of curved composite box girder with corrugated steel webs[J]. Journal of Building Structures, 2023, 44(Sup.1): 165-173.
[7]	Zhu L, Su R K, Li M. Finite beam element with 26 DOFs for curved composite box girders considering constrained torsion, distortion, shear lag and biaxial slip[J]. Engineering Structures, 2021, 232: 1-26.
[8]	张元海, 马云亮, 刘泽翔. 考虑扭转与畸变耦联影响的薄壁箱梁翘曲效应分析[J]. 东南大学学报: 自然科学版, 2023, 53(3): 418-424.
	Zhang Yuan-hai, Ma Yun-liang, Liu Ze-xiang. Analysis on distortion effect of thin-walled box girders considering coupling between torsion and distortion[J]. Journal of Southeast University (Natural Science Edition), 2023, 53(3): 418-424.
[9]	Ren Y Z, Cheng W M, Wang Y Q, et al. Distortional analysis of simply supported box girders with inner diaphragms considering shear deformation of diaphragms using initial parameter method[J]. Engineering Structures. 2017, 145: 44-59.
[10]	Ren Y Z, Cheng W M, Wang Y Q, et al. Analysis of the distortion of cantilever box girder with inner flexible diaphragms using initial parameter method[J]. Thin-walled Structure, 2017, 117: 140-154.
[11]	尼颖升, 孙启鑫, 马晔, 等. 基于空间网格分析的多箱室波形钢腹板组合梁腹板剪力分配[J]. 吉林大学学报: 工学版, 2018, 48(6): 1735-1746.
	Ni Ying-sheng, Sun Qi-xin, Ma Ye, et al. Shear distribution of multi-cell corrugated steel web composite beams based on space grid analysis[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(6): 1735-1746.
[12]	尼颖升, 马晔, 徐栋, 等. 波形钢腹板斜拉桥剪力滞效应空间网格分析方法[J]. 吉林大学学报: 工学版, 2017, 47(5): 1453-1464.
	Ni Ying-sheng, Ma Ye, Xu Dong, et al. Space mesh analysis method for shear lag effect of cable-stayed bridge with corrugated steel webs[J]. Journal of Jilin University (Engineering and Technology Edition), 2017, 47(5): 1453-1464.
[13]	邓文琴, 毛泽亮, 刘朵, 等. 单箱三室波形钢腹板悬臂梁扭转与畸变分析及试验研究[J]. 建筑结构学报, 2020, 41(2): 173-181.
	Deng Wen-qin, Mao Ze-liang, Liu Duo, et al. Analysis and experimental study on torsion and distortion of single box three-cell cantilever girder with corrugated steel webs[J]. Journal of Building Structures, 2020, 41(2): 173-181.
[14]	喻文杰, 高子健, 邓文琴, 等. 新型波形腹板组合箱梁桥横隔板间距研究[J]. 现代交通技术, 2021, 18(4): 37-41.
	Yu Wen-jie, Gao Zi-jian, Deng Wen-qin, et al. Research on diaphragm spacing for new type of composite box girder bridge with corrugated steel webs[J]. Modern Transportation Technology, 2021, 18(4): 37-41.
[15]	Shi F, Wang D S, Chen L. Study of flexural vibration of variable cross-section box-girder bridges with corrugated steel webs[J]. Structures, 2021(33): 1107-1118.
[16]	李卓庭, 宋郁民. 曲梁几何方程推导[J]. 工程力学, 2019, 36(): 12-16.
	Li Zhuo-ting, Song Yu-min. Geometric equation derivation of curved beam[J]. Engineering Mechanics, 2019, 36(Sup.1): 12-16.
[17]	孙广华. 曲线梁桥计算[M]. 北京:人民交通出版社, 1995.
	Sun Guang-hua. Curved Girder Bridge Calculation[M]. Beijing: China Communications Press, 1995.
[18]	程翔云. 梁桥理论与计算[M]. 北京:人民交通出版社, 1990.
	Cheng Xiang-yun. Theory and Calculation of Girder Bridge[M]. Beijing: China Communications Press, 1990.
[19]	Zhang Y L, Wang C, Zhang X S, et al. Exact distortional behavior of single-box multicell curved composite box girders with corrugated steel webs in the elastic stage[J]. Engineering Structures, 2023, 297: 116961.
[20]	. 公路钢结构桥梁设计规范 [S].

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed