苗林, 陈德伟. 考虑剪力滞后效应结合梁的长期性能计算[J]. 工程力学, 2012, 29(9): 252-258. DOI: 10.6052/j.issn.1000-4750.2010.12.0941
引用本文: 苗林, 陈德伟. 考虑剪力滞后效应结合梁的长期性能计算[J]. 工程力学, 2012, 29(9): 252-258. DOI: 10.6052/j.issn.1000-4750.2010.12.0941
MIAO Lin, CHEN De-wei. LONG-TERM BEHAVIOR OF COMPOSITE BEAM INCORPORATING SHEAR LAG EFFECT[J]. Engineering Mechanics, 2012, 29(9): 252-258. DOI: 10.6052/j.issn.1000-4750.2010.12.0941
Citation: MIAO Lin, CHEN De-wei. LONG-TERM BEHAVIOR OF COMPOSITE BEAM INCORPORATING SHEAR LAG EFFECT[J]. Engineering Mechanics, 2012, 29(9): 252-258. DOI: 10.6052/j.issn.1000-4750.2010.12.0941

考虑剪力滞后效应结合梁的长期性能计算

LONG-TERM BEHAVIOR OF COMPOSITE BEAM INCORPORATING SHEAR LAG EFFECT

  • 摘要: 目前结构施工仿真计算多采用平面杆系有限元模型,而桥面板剪力滞后效应会使平面杆系模型分析结果产生误差.该文考虑混凝土的长期性能,引入翘曲位移形状函数与强度函数,描述结合梁剪力滞后效应.利用最小势能原理,以整体竖向挠度和翘曲强度函数为未知函数,推导出结合梁微段平衡微分方程及边界条件方程,引入“附加弯矩”描述剪力滞后效应对结构变形的影响;可根据具体结构形式的边界条件,得到结合梁模型变形的解析解.通过算例验证了模型和解析解的正确性,并分析了结合梁剪力滞后效应的时效性.考虑承受均布荷载的固端梁,采用现行规范有效宽度计算的结果介于弹性与粘弹性结果之间.利用该文计算方法,可以减小剪力滞后效应对杆系模型计算结果带来的误差.

     

    Abstract: The finite element method employed in a plane bar-system is usually applied in the structural analysis of construction simulation for the bridge with a composite deck; however, it will produce significant errors if the shear lag effect within slabs is neglected. Taking into account the long-term behavior of the concrete material, the shear lag effect within slabs of a composite deck is considered by means of a shear warping shape function and an intensity function. As two unknown variables, which are the vertical displacement of the deck and the intensity of warping, a variational balance condition is derived by the virtual work theorem. As a result, the shear-lag effect is expressed as “an additional bending moment”. Analytic solution for a specific structural form with relevant boundary conditions can be conducted. This method is verified by the finite element method correctly and applied to the investigation of the long-term behavior of a composite deck with two fixed end constrains. The results obtained from the code based on the effective flange width are intervenient between those obtained from the elastic and viscoelastic model. The errors of a plane finite element model considering shear lag effect can be minimized by the method proposed in this paper.

     

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