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箱形梁剪力滞效应的分离求解方法及参数影响分析

张玉元 张元海 张慧

张玉元, 张元海, 张慧. 箱形梁剪力滞效应的分离求解方法及参数影响分析[J]. 应用数学和力学, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073
引用本文: 张玉元, 张元海, 张慧. 箱形梁剪力滞效应的分离求解方法及参数影响分析[J]. 应用数学和力学, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073
ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073
Citation: ZHANG Yuyuan, ZHANG Yuanhai, ZHANG Hui. A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1282-1291. doi: 10.21656/1000-0887.380073

箱形梁剪力滞效应的分离求解方法及参数影响分析

doi: 10.21656/1000-0887.380073
基金项目: 国家自然科学基金(51468032;51268029;51508255);2017年度陇原青年创新创业人才资助项目
详细信息
    作者简介:

    张玉元(1989―),男,博士生(E-mail: zyy161208@163.com);张元海(1965―),男,教授,博士,博士生导师(通讯作者. E-mail: zyh17012@163.com).

  • 中图分类号: U448.213

A Separate Solution Method for Shear Lag Effects in Box Girders and Parameter Analysis

Funds: The National Natural Science Foundation of China(51468032;51268029;51508255)
  • 摘要: 选取剪力滞效应引起的附加挠度为广义位移,将箱梁的剪力滞变形状态从初等梁挠曲变形状态中分离出来,作为一种独立的变形状态进行分析,运用能量变分法建立了以附加挠度为未知量的截面控制微分方程及边界条件;结合简支边界条件分别导出了集中荷载和均布荷载作用下箱梁的附加挠度和纵向应力计算公式.纵向应力分析表明:该文方法计算的应力结果和样条函数法计算的应力结果吻合良好,从而验证了其方法的正确性.挠度研究表明:剪力滞附加挠度由跨中向两侧支点递减;针对于该文算例而言,均布荷载和集中荷载作用下跨中截面的剪力滞附加挠度分别占初等梁挠度的2.57%和3.03%;随着高跨比和宽跨比的增大,相应箱梁跨中截面的附加挠度逐渐减小,且宽跨比对附加挠度的影响远大于高跨比的影响.
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出版历程
  • 收稿日期:  2017-03-29
  • 修回日期:  2017-12-05
  • 刊出日期:  2018-11-01

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