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基于Reddy理论的新型波形钢腹板组合箱梁挠度计算

王力 刘世忠 路韡 牛思胜 毛亚娜

王力, 刘世忠, 路韡, 牛思胜, 毛亚娜. 基于Reddy理论的新型波形钢腹板组合箱梁挠度计算[J]. 西南交通大学学报, 2021, 56(4): 752-759. doi: 10.3969/j.issn.0258-2724.20200377
引用本文: 王力, 刘世忠, 路韡, 牛思胜, 毛亚娜. 基于Reddy理论的新型波形钢腹板组合箱梁挠度计算[J]. 西南交通大学学报, 2021, 56(4): 752-759. doi: 10.3969/j.issn.0258-2724.20200377
WANG Li, LIU Shizhong, LU Wei, NIU Sisheng, MAO Yana. Deflection Calculation of New Type Composite Box Girder with Corrugated Steel Webs Based on Reddy Theory[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 752-759. doi: 10.3969/j.issn.0258-2724.20200377
Citation: WANG Li, LIU Shizhong, LU Wei, NIU Sisheng, MAO Yana. Deflection Calculation of New Type Composite Box Girder with Corrugated Steel Webs Based on Reddy Theory[J]. Journal of Southwest Jiaotong University, 2021, 56(4): 752-759. doi: 10.3969/j.issn.0258-2724.20200377

基于Reddy理论的新型波形钢腹板组合箱梁挠度计算

doi: 10.3969/j.issn.0258-2724.20200377
基金项目: 国家自然科学基金(51568036,51868040)
详细信息
    作者简介:

    王力(1993—),男,讲师,博士,研究方向为组合结构桥梁理论,E-mail:wanglilzjtu@126.com

    通讯作者:

    刘世忠(1962—),男,教授,博士生导师,研究方向为桥梁结构有限元分析,E-mail:Liusz2000@163.com

  • 中图分类号: U448

Deflection Calculation of New Type Composite Box Girder with Corrugated Steel Webs Based on Reddy Theory

  • 摘要: 为准确计算新型波形钢腹板(CSW)组合箱梁的挠度,基于Reddy高阶剪切变形理论,考虑钢-混接触面滑移变形和全截面高阶剪切变形效应,以形函数作为单元内高度变化的插值函数,利用最小势能原理推出新型CSW组合箱梁等参有限元行列式;以一根8.0 m新型波形钢腹板简支组合箱型试验梁为例,基于本文理论编制了相应的计算程序,计算了集中、均布荷载作用下该梁的竖向挠度,并通过模型试验和有限元模拟验证了本文解析计算方法的可靠性;最后分析了剪力键剪切刚度、波形腹板型号、子梁高度比、跨高比等参数对新型CSW组合箱梁挠度的影响程度. 研究结果表明:考虑新型CSW组合箱梁全截面剪切变形效应后的挠度值较初等梁理论值增大约10%,较Timoshenko理论值增大约1.87%. 全截面剪切变形效应对挠度贡献随跨高比逐渐增大而减小. 跨高比和剪力键剪切刚度越小或子梁高度比越大,剪切变形效应对结构竖向挠度的影响越发显著,而波形钢腹板型号对箱梁挠度影响较小.

     

  • 图 1  新型CSW组合箱梁轴向位移场假定

    Figure 1.  Axial displacement hypothesis of a new type of composite box girder with CSWs

    图 2  波形腹板波段尺寸

    Figure 2.  Unit band size of CSW

    图 3  试验现场

    Figure 3.  Test site

    图 4  试验梁有限元模型

    Figure 4.  Finite element model of test girder

    图 5  边界条件及荷载示意

    Figure 5.  Boundary conditions and load schematic

    图 6  箱梁挠度对比

    Figure 6.  Deflection comparison of box girder

    图 7  关键参数对组合箱梁挠度的影响

    Figure 7.  Effect of key parameters on deflection of composite box girder

    表  1  材料特性

    Table  1.   Material propoties

    材料 Ei/GPa 质量密度 ρ/(kg•m−3
    混凝土 34.3 2556
    Q235钢材 208.0 7860
    下载: 导出CSV

    表  2  箱梁跨中挠度(工况1)

    Table  2.   Midspan deflection of box girder (case 1) mm

    荷载/(kN•m−1初等梁理论本文理论FEM 值Timoshenko 理论实测
    31.9022.0812.0642.0601.969
    63.8044.1594.1284.1214.032
    95.7056.2406.1926.1816.160
    下载: 导出CSV

    表  3  箱梁跨中挠度(工况2)

    Table  3.   Midspan deflection of box girder (case 2) mm

    荷载/kN初等梁理论本文理论FEM 值Timoshenko 理论实测
    405.2975.6675.6335.5615.658
    8010.59411.33411.26611.12311.084
    10013.24314.16714.08313.90314.026
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-06-12
  • 修回日期:  2020-11-16
  • 网络出版日期:  2020-11-17
  • 刊出日期:  2021-08-15

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