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矩形截面单箱双室箱梁的畸变效应分析

王兆南 张元海

王兆南, 张元海. 矩形截面单箱双室箱梁的畸变效应分析[J]. 西南交通大学学报, 2022, 57(5): 1122-1129. doi: 10.3969/j.issn.0258-2724.20200813
引用本文: 王兆南, 张元海. 矩形截面单箱双室箱梁的畸变效应分析[J]. 西南交通大学学报, 2022, 57(5): 1122-1129. doi: 10.3969/j.issn.0258-2724.20200813
WANG Zhaonan, ZHANG Yuanhai. Distortion Effect of Single Box Double-Cell Box Girders with Rectangular Cross Section[J]. Journal of Southwest Jiaotong University, 2022, 57(5): 1122-1129. doi: 10.3969/j.issn.0258-2724.20200813
Citation: WANG Zhaonan, ZHANG Yuanhai. Distortion Effect of Single Box Double-Cell Box Girders with Rectangular Cross Section[J]. Journal of Southwest Jiaotong University, 2022, 57(5): 1122-1129. doi: 10.3969/j.issn.0258-2724.20200813

矩形截面单箱双室箱梁的畸变效应分析

doi: 10.3969/j.issn.0258-2724.20200813
基金项目: 国家自然科学基金(51968040)
详细信息
    作者简介:

    王兆南(1981—),男,讲师,博士,研究方向为薄壁箱梁设计理论和桥梁抗震,E-mail:524299845@qq.com

  • 中图分类号: U448.213

Distortion Effect of Single Box Double-Cell Box Girders with Rectangular Cross Section

  • 摘要:

    为准确研究单箱双室箱梁在偏心竖向荷载作用下的畸变效应,引入双室箱梁反对称和正对称畸变的概念,补充矩形截面单箱双室箱梁畸变研究的假定. 采用不同定义的畸变角分别描述箱梁的反、正对称畸变,用板元分析法和能量变分法分析单箱双室箱梁的畸变;采用2个参数分别描述顶板、底板和腹板上的畸变正应力分布,以适应双室箱梁正对称畸变;考虑正对称畸变对双室箱梁畸变效应的影响,比较对应单室和双室箱梁的畸变效应,研究中腹板厚度改变时双室箱梁畸变角沿梁长的变化. 研究结果表明:考虑了正对称畸变影响的单箱双室箱梁畸变正应力的解析解和有限元数值解更吻合,误差不超过8.71%;正对称畸变正应力较小,最大只占反对称畸变正应力的28.08%;箱梁中腹板能有效减弱偏心竖向荷载作用引起的箱梁畸变,可使角点处的畸变正应力降低到对应单室箱梁的49.09%;采用2个参数描述箱梁正对称畸变时各板件上畸变正应力的分布比传统方法的更合理;改变中腹板厚度可使单箱双室箱梁畸变发生明显的变化,厚度增大时畸变逐渐减小.

     

  • 图 1  单箱双室箱梁截面形式

    Figure 1.  Cross section of single box double-cell box girder

    图 2  正对称和反对称畸变荷载

    Figure 2.  Positive-symmetrical and antisymmetrical distortion load

    图 3  箱梁各板件的面内受力

    Figure 3.  In-plane force of box girder plates

    图 4  箱梁各角点的位移

    Figure 4.  Corner displacements of box girder

    图 5  反对称畸变时各板件的面外受力

    Figure 5.  Out-of-plane force with antisymmetrical distortion

    图 6  箱梁正对称畸变扇性坐标ωd

    Figure 6.  Positive-symmetrical distortion sector coordinates ωd

    图 7  结构AKFD的变形和横向弯矩

    Figure 7.  Deformation and transverse bending moment of structure AKFD

    图 8  箱梁截面尺寸(单位:cm)

    Figure 8.  Box girder cross section (unit: cm)

    图 9  畸变角沿梁长变化

    Figure 9.  Distortional angle changes of box girder

    图 10  角点A畸变正应力沿梁长变化

    Figure 10.  Changes of distortional normal stress of point A

    图 11  中腹板厚度对箱梁畸变角的影响

    Figure 11.  Influence of mid-web thickness on distortional angle of box girder

    表  1  箱梁反对称畸变计算值

    Table  1.   Antisymmetrical distortional values

    方法 Iωd1/m6 IR1/m2 ωdD/m2 ωdA/m2 β1 γd1/( × 10−10 rad) Bd/(N·m2 σdA/kPa σdD/kPa
    单箱单室箱梁畸变 12.1728 0.0040 2.5426 1.2075 0.4749 3.3961 2.6279 0.5213 1.0978
    单箱双室箱梁反对称畸变 12.1728 0.0096 2.5426 1.2075 0.4749 1.7660 2.1110 0.2094 0.4409
    下载: 导出CSV

    表  2  箱梁正对称畸变计算值

    Table  2.   Positive-symmetrical distortional values

    方法 角点应力比 γd/( × 10−10 rad) σdA/kPa σdD/kPa
    单箱双室箱梁正对称畸变 β1 = 0.5000, β2 = 0.6241 0.0160 0.05897 0.11795
    单箱单室箱梁畸变 0.3229 3.7516 0.28055 0.86898
    下载: 导出CSV

    表  3  箱梁角点畸变正应力

    Table  3.   Corner distortion normal stress of box girder

    畸变正应力单箱双室箱梁畸变解析解/kPa有限元解 ②/kPa误差((①−②)/② × 100) /%
    反对称畸变正对称畸变最终结果 ①
    σdA0.209400.058970.268370.26380 1.73
    σdD0.440900.117950.558850.61220−8.71
    下载: 导出CSV
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出版历程
  • 收稿日期:  2020-12-08
  • 修回日期:  2021-08-26
  • 网络出版日期:  2022-07-18
  • 刊出日期:  2022-04-27

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