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基于翼板横向位移模式的箱梁剪力滞效应分析

Analysis on Shear Lag Effect of Box Girder Based on Lateral Displacement Mode of Flanges

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【作者】 张玉元马啸张元海张慧

【Author】 ZHANG Yuyuan;MA Xiao;ZHANG Yuanhai;ZHANG Hui;School of Civil Engineering, Lanzhou Jiaotong University;

【通讯作者】 张元海;

【机构】 兰州交通大学土木工程学院

【摘要】 以剪翘变形状态为分析对象,综合运用广义坐标法、剪翘变形协调条件和平衡微分方程,提出箱梁的翼板横向位移模式。基于最小势能驻值原理,推导考虑翼板横向位移影响的箱梁剪力滞解析解。引入翼板横向位移对剪力滞影响的差值比参数,详细分析截面参数及梁端约束条件对剪力滞差值比的影响。算例分析表明:翼板横向位移对剪力滞有一定的削弱作用,考虑横向位移的纵向应力与有限元解、实测值吻合更好;跨宽比、高宽比越大,剪力滞差值比越小;悬臂板宽度越大,剪力滞系数差值比越小;梁端约束条件越强,剪力滞差值比分布曲线越陡峭,约束条件较强时需考虑横向位移的影响。

【Abstract】 Based on the analysis of the shear warping deformation state, the lateral displacement mode for flanges of a box girder was proposed by comprehensively applying the generalized coordinate method, the coordination conditions of shear warping deformation and equilibrium differential equations. Based on the principle of minimum potential energy stationary value, an analytical solution for shear lag in box girder was derived considering the influence of lateral displacement of flanges. By introducing the difference ratio of the influence of the lateral displacement of flanges on the shear lag, the influences of the section parameters and the end restraint condition on the difference ratio for shear lag were analyzed in detail. The numerical analysis shows that the lateral displacement of flanges has a certain weakening effect on the shear lag, and the longitudinal stress considering the lateral displacement is better consistent with the finite element solution and measured values. The larger the span width ratio and height width ratio, the smaller the difference ratio for shear lag. The larger the width of cantilever plate, the smaller the difference ratio for shear lag coefficient. The stronger the end restraint conditions, the steeper the distribution curve of shear lag difference ratio. When the end restraint conditions are strong, the influence of lateral displacement should be considered.

【基金】 国家自然科学基金(51968040,52168019);甘肃省青年科技基金计划(20JR10RA267);甘肃省高等学校创新基金(2021B-096)
  • 【文献出处】 铁道学报 ,Journal of the China Railway Society , 编辑部邮箱 ,2024年05期
  • 【分类号】U441
  • 【下载频次】36
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