留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

基于抽象翘曲位移函数的箱形梁剪力滞效应分析

姚晓东 张元海

姚晓东, 张元海. 基于抽象翘曲位移函数的箱形梁剪力滞效应分析[J]. 应用数学和力学, 2018, 39(12): 1351-1363. doi: 10.21656/1000-0887.390142
引用本文: 姚晓东, 张元海. 基于抽象翘曲位移函数的箱形梁剪力滞效应分析[J]. 应用数学和力学, 2018, 39(12): 1351-1363. doi: 10.21656/1000-0887.390142
YAO Xiaodong, ZHANG Yuanhai. Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1351-1363. doi: 10.21656/1000-0887.390142
Citation: YAO Xiaodong, ZHANG Yuanhai. Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions[J]. Applied Mathematics and Mechanics, 2018, 39(12): 1351-1363. doi: 10.21656/1000-0887.390142

基于抽象翘曲位移函数的箱形梁剪力滞效应分析

doi: 10.21656/1000-0887.390142
基金项目: 国家自然科学基金(51468032;51268029)
详细信息
    作者简介:

    姚晓东(1994—),男,硕士生(E-mail: 1813465688@qq.com);张元海(1965—),男,教授,博士生导师 (通讯作者. E-mail: zyh17012@163.com).

  • 中图分类号: O39

Analysis of Shear Lag Effects in Box Girders Based on Abstract Warping Displacement Functions

Funds: The National Natural Science Foundation of China(51468032; 51268029)
  • 摘要: 针对薄壁箱梁剪力滞问题,基于抽象的翘曲位移函数,通过对控制微分方程的形式进行分析研究,构造出剪力滞翘曲位移函数的基本形式;对翼板引入边界约束影响的修正系数,然后通过能量变分原理推导出了箱形梁剪力滞的控制微分方程及其解析解.根据有限元结果确定翼板边界约束影响修正系数的具体值,以带翼板的简支箱形梁分别作用集中荷载和均布荷载为数值算例,进行了计算分析.分析结果表明:采用该文方法计算的结果与有限元结果总体吻合良好,并且该文的计算结果也反映出了翼板应力小于顶板应力的分布规律,从而验证了该文分析方法的正确性.
  • [1] 郭金琼, 房贞政, 郑振. 箱形梁设计理论[M]. 北京: 人民交通出版社, 2008.(GUO Jinqiong, FANG Zhenzheng, ZHENG Zhen. Design Theory of Box Girder [M]. Beijing: China Communications Press, 2008.(in Chinese))
    [2] 倪元增, 钱寅泉. 弹性薄壁梁桥分析[M]. 北京: 人民交通出版社, 2000.(NI Yuanzeng, QIAN Yinquan. Elastic Analysis of Thin-Walled Beam Bridges [M]. Beijing: China Communications Press, 2000.(in Chinese))
    [3] 张士铎, 邓小华, 王文州. 箱形薄壁梁剪力滞效应[M]. 北京: 人民交通出版社, 1998.(ZHANG Shiduo, DENG Xiaohua, WANG Wenzhou. Shear Lag Effect in Box Girders [M]. Beijing: China Communications Press, 1998.(in Chinese))
    [4] 李丽园, 周茂定, 张元海. 薄壁箱梁的弯曲纵向位移函数与剪力流[J]. 中南大学学报(自然科学版), 2015,46(10): 3928-3935.(LI Liyuan, ZHOU Maoding, ZHANG Yuanhai. Longitudinal displacement function and shear flow of thin-walled box girders in bending[J]. Journal of Central South University(Science and Technology),2015,46(10): 3928-3935.(in Chinese))
    [5] 张元海, 胡玉茹, 林丽霞. 基于修正翘曲位移模式的薄壁箱梁剪力滞效应分析[J]. 土木工程学报, 2015, 48(6): 44-50.(ZHANG Yuanhai, HU Yuru, LIN Lixia. Analysis on shear lag effect of thin-walled box girder based on a modified warping displacement mode[J]. China Civil Engineering Journal,2015, 48(6): 44-50.(in Chinese))
    [6] REISSNER E. On the problem of stress distribution in wide-flanged box-beam[J]. Journal of the Aeronautical Sciences,1938, 5(8): 295-299.
    [7] 蔺鹏臻, 周世军. 基于剪切变形规律的箱梁剪力滞效应研究[J]. 铁道学报, 2011, 33(4): 100-104.(LIN Pengzhen, ZHOU Shijun. Analysis on shear-lag effect of box girders based on flange-slab shear deformation law[J]. Journal of the China Railway Society,2011,33(4): 100-104.(in Chinese))
    [8] 郭金琼, 房贞政, 罗孝登. 箱形梁桥剪滞效应分析[J]. 土木工程学报, 1983,16(1): 1-3.(GUO Jinqiong, FANG Zhenzheng, LUO Xiaodeng. Analysis of shear lag effect in box girder bridges[J]. China Civil Engineering Journal,1983,16(1): 1-3.(in Chinese))
    [9] 张元海, 白昕, 林丽霞. 箱形梁剪力滞效应的改进分析方法研究[J]. 土木工程学报, 2012,45(11): 153-158.(ZHANG Yuanhai, BAI Xin, LIN Lixia. An improved approach for analyzing shear lag effect of box girders[J]. China Civil Engineering Journal,2012,45(11): 153-158.(in Chinese))
    [10] LIN Z B, ZHAO J. Revisit of AASHTO effective flange-width provisions for box girders[J]. Journal of Bridge Engineering,2011,16(6): 881-889.
    [11] 罗旗帜. 薄壁箱形梁剪力滞计算的梁段有限元法[J]. 湖南大学学报, 1991,18(2): 33-38.(LUO Qizhi. Calculation of the shear lag in thin walled box girders by the finite segment method[J]. Journal of Hunan University,1991,18(2): 33-38.(in Chinese))
    [12] CHEN J, SHEN S L, YIN Z Y, et al. Closed-form solution for shear lag with derived flange deformation function[J]. Journal of Constructional Steel Research,2014,102: 104-110.
    [13] LUO Q Z, WU Y M, LI Q S, et al. A finite segment model for shear lag analysis[J]. Engineering Structures,2004,26(14): 2113-2124.
    [14] ZHOU S J. Finite beam element considering shear-lag effect in box girder[J]. Journal of Engineering Mechanics,2010,136(9): 1115-1122.
    [15] 甘亚南, 周广春. 薄壁箱梁纵向剪滞翘曲函数精度选择的研究[J]. 工程力学, 2008,25(6): 100-106.(GAN Yanan, ZHOU Guangchun. An approach for precision selection of longitudinal shear lag warping displacement function of thin-walled box girders[J]. Engineering Mechanics,2008,25(6): 100-106.(in Chinese))
    [16] 陈常松, 邓安. 高次位移函数时箱梁剪滞效应变分法解[J]. 重庆交通大学学报(自然科学版), 2009,28(1): 5-7.(CHEN Changsong, DENG An. Variational solution of shear lag effect of box girder in high order displacement function[J]. Journal of Chongqing Jiaotong University(Natural Science),2009,28(1): 5-7.(in Chinese))
    [17] 韦成龙, 曾庆元, 刘小燕. 薄壁箱梁剪力滞分析的多参数翘曲位移函数及其有限元法[J]. 铁道学报, 2000,22(5): 60-64.(WEI Chenglong, ZENG Qingyuan, LIU Xiaoyan. Warping displacement function and finite element method for calculation of shear lag effect in box girder[J]. Journal of the China Railway Society,2000, 22(5): 60-64.(in Chinese))
    [18] 徐飞鸿, 蔡汶珊. 薄壁箱梁剪力滞效应数值计算[J]. 长沙理工大学学报(自然科学版), 2009,6(4): 16-20.(XU Feihong, CAI Wenshan. Numerical calculation on shear lag effect of thin-walled box girder[J]. Journal of Changsha University of Science and Technology(Natural Science),2009,6(4): 16-20.(in Chinese))
  • 加载中
计量
  • 文章访问数:  987
  • HTML全文浏览量:  127
  • PDF下载量:  590
  • 被引次数: 0
出版历程
  • 收稿日期:  2018-05-08
  • 修回日期:  2018-06-28
  • 刊出日期:  2018-12-01

目录

    /

    返回文章
    返回