多室薄壁箱梁剪力滞效应的解析解
发布时间：2019-01-01 16:06
【摘要】：为研究单箱多室箱梁的剪力滞效应,对不同翼板分别设置不同剪滞纵向位移差函数,纵向翘曲位移函数横向分布规律采用k次抛物线,同时考虑全截面轴力自平衡的条件,根据能量变分法推导出n室箱梁剪滞效应的控制微分方程组及其闭合解,并通过双室和三室箱梁算例将本文变分解与有限元计算结果进行对比,结果表明:本文变分解与有限元解比较吻合,两种方法计算的翼板应力沿横向变化规律基本一致,剪滞翘曲位移抛物线取高次时箱梁顶板结果更接近于有限元解,取低次时悬臂板更接近于有限元解,抛物线次数对腹板位置结果影响较小。
[Abstract]:In order to study the shear lag effect of single-box multi-chamber box girder, different longitudinal displacement difference functions are set up for different wing plates. The transverse distribution law of longitudinal warping displacement function is k times parabola, and the condition of self-balance of axial force of full section is taken into account at the same time. Based on the energy variation method, the governing differential equations and their closed solutions for the shear lag effect of n-chamber box girder are derived, and the results of variation decomposition and finite element analysis are compared with those of two-chamber and three-chamber box girder examples. The results show that the variational decomposition in this paper is consistent with the finite element solution, the stress of the flange calculated by the two methods is basically the same along the transverse variation, and the result of the box girder roof is closer to the finite element solution when the shear lag warping displacement parabola is taken. The cantilever plate is closer to the finite element solution when the lower order is taken, and the number of parabola has little effect on the web position.
【作者单位】： 铁道第三勘察设计院集团有限公司;天津华兴勘察设计有限公司;
【分类号】：U441;U448.213
[Abstract]:In order to study the shear lag effect of single-box multi-chamber box girder, different longitudinal displacement difference functions are set up for different wing plates. The transverse distribution law of longitudinal warping displacement function is k times parabola, and the condition of self-balance of axial force of full section is taken into account at the same time. Based on the energy variation method, the governing differential equations and their closed solutions for the shear lag effect of n-chamber box girder are derived, and the results of variation decomposition and finite element analysis are compared with those of two-chamber and three-chamber box girder examples. The results show that the variational decomposition in this paper is consistent with the finite element solution, the stress of the flange calculated by the two methods is basically the same along the transverse variation, and the result of the box girder roof is closer to the finite element solution when the shear lag warping displacement parabola is taken. The cantilever plate is closer to the finite element solution when the lower order is taken, and the number of parabola has little effect on the web position.
【作者单位】： 铁道第三勘察设计院集团有限公司;天津华兴勘察设计有限公司;
【分类号】：U441;U448.213
【参考文献】
相关期刊论文 前9条
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