土木工程学报  2016, Vol. 49 Issue (6): 32-37    
  结构工程 本期目录 | 过刊浏览 | 高级检索 |
统筹考虑全截面剪切变形能的单剪滞位移参数的薄壁箱梁剪力滞计算方法
舒小娟 钟新谷 沈明燕 黄敦文 张天予
湖南科技大学, 湖南湘潭 411201
Calculation method with single shear-lag displacement parameter for the shear lag of thin-wall  box girders considering the shear deformation energy of whole section
Shu Xiaojuan Zhong Xingu Shen Mingyan Huang Dunwen Zhang Tianyu
Hunan Science and Technology University, Xiangtan 411201, China
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摘要 
从薄壁箱梁弯曲剪应力、剪切变形与截面纵向位移之间的关系入手,推导了箱梁全截面翼板与腹板纵向位移沿箱室周线的分布函数,据此提出优化的
箱梁全截面剪力滞翘曲广义坐标函数。基于能量变分原理建立了综合考虑全截面剪切变形能的单剪滞位移的弯曲剪力滞控制微分方程组。该微分方程与既有
的箱梁剪力滞理论形式上保持一致,而将翼板剪力滞分析与腹板的弯翘分析统一起来。均布荷载作用下的简支梁与悬臂梁算例分析表明,该算法求得的剪力
滞系数和挠度值与块体元模型吻合良好。与不考虑腹板剪切变形的算法比较,该理论计算的剪力滞系数和挠度计算结果误差更小。
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舒小娟 钟新谷 沈明燕 黄敦文 张天予
关键词  箱梁 剪切变形能 剪力滞广义坐标 剪力滞系数 挠度    
Abstract
According to the relationships among the flexural shear stress, shear deformation and sectional longitudinal displacement of
thin-walled box girder, the distribution function of longitudinal displacement around the cross-sectional perimeter of the girder was
derived. Based on this function, the optimized shear-lag warping generalized coordinate function for the full cross section of box
girder was proposed. Therefore, according to the energy variation principle, the flexural shear lag differential equation system, which
considers the shear deformation of flanges and webs with single shear-lag generalized displacement parameter, was established. The
equation system has the same form as that of existing ones, and it unifies the shear lag analysis of flange and the bending-warping
analysis of web. Based on the analysis of simply supported beam and cantilever beam under the uniform load, it was found that the shear
lag coefficient and deflection using the present algorithm agree well with those using the block element model. Compared with the
existing algorithms without considering the shear deformation of web, the present algorithm may lead to smaller errors in both shear
coefficients and deflections.
Key wordsbox girder    shear deformation energy    shear lag generalized coordinate    shear lag coefficient    deflection
    
引用本文:   
舒小娟 钟新谷 沈明燕 黄敦文 张天予. 统筹考虑全截面剪切变形能的单剪滞位移参数的薄壁箱梁剪力滞计算方法[J]. 土木工程学报, 2016, 49(6): 32-37.
Shu Xiaojuan Zhong Xingu Shen Mingyan Huang Dunwen Zhang Tianyu. Calculation method with single shear-lag displacement parameter for the shear lag of thin-wall  box girders considering the shear deformation energy of whole section. 土木工程学报, 2016, 49(6): 32-37.
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