Composite box girder beam element with corrugated steel webs considering shear force interaction in flange plates
Article Text (Baidu Translation)
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摘要: 为研究波形钢腹板组合箱梁的剪力分配问题，提出了一种可综合考虑波形钢腹板与翼缘板剪力分配关系以及横隔板约束影响的新型箱梁单元(TBTF-CSW)；通过引入翼缘板剪应变传递系数，实现了上、下翼缘板和波形钢腹板剪力的有效分离；考虑变截面效应，推导了变截面波形钢腹板组合箱梁的剪力分配计算表达式，建立了考虑翼缘板和波形钢腹板剪切变形影响的理论分析模型；基于能量变分原理，推导出考虑翼缘板剪力协调的控制微分方程，并将波形钢腹板的剪切变形引入为附加自由度，选用控制微分方程的齐次解构造了广义位移(竖向挠度、波形钢腹板等效剪应变和等效弯曲转角)的插值函数；结合有限元法，构建了考虑波形钢腹板和翼缘板剪切变形影响的两节点六自由度箱梁单元；通过典型算例分析，验证了TBTF-CSW梁单元计算等截面和变截面波形钢腹板组合箱梁腹板剪应力和剪力分配的精度与适用性。研究结果表明：在等截面波形钢腹板组合箱梁中，波形钢腹板承担主要剪力，其承剪比例受材料特性和截面几何参数影响，端横隔板和集中荷载会引起局部突变；在变截面波形钢腹板组合箱梁中，受下翼缘板轴力的影响，变截面效应显著增强，下翼缘板与波形钢腹板均可能出现“剪力超分配”现象，此时认为腹板承担全部剪力的假设将偏于不安全。提出的TBTF-CSW梁单元可为波形钢腹板组合箱梁的剪力分配理论分析与工程设计提供有效支撑。Abstract: To investigate the shear force distribution in composite box girder with corrugated steel webs (CSWs), a novel box girder beam element (TBTF-CSW) comprehensively was proposed considering the shear force distribution relationship between CSWs and flange plates, as well as the influence of diaphragm constraints. By introducing shear strain transfer coefficients for the flange plates, the shear forces carried by CSWs, top and bottom flange plates were effectively decoupled. Considering the variable cross-section effect, analytical expressions for the shear force distribution in variable cross-section composite box girders with CSWs were derived, and a theoretical analysis model was established considering shear deformation influence in both the flange plates and CSWs. Based on the energy variational principle, the controlled differential equations that consider the shear force interaction of the flange plates were formulated. The shear deformation of the CSWs was then introduced as an additional degree of freedom. The homogeneous solutions of the controlled differential equations were used to construct interpolating functions for the generalized displacements, including vertical deflection, CSWs equivalent shear strain, and equivalent bending rotation. By integrating the finite element method, a two-node six-degree-of-freedom box-girder beam element considering the shear deformation influence of both CSWs and flange plates was developed. A series of typical numerical examples were analyzed to verify the accuracy and applicability of the TBTF-CSW beam element in calculating the shear stress and shear force distribution for composite box girders with constant and variable cross-sections. The results indicate that in the constant cross-section composite box girders with CSWs, the CSWs carry the majority of the shear force, with the distribution primarily affected by material characteristics and geometric parameters. The diaphragms and concentrated loads introduce local disturbances. In variable cross-section composite box girders, the axial force in the bottom flange plate leads to significant variable cross-section effect. Either the bottom flange plate or CSWs may experience "shear overdistribution". In such cases, it becomes unsafe to assume that the CSWs carry the entire shear force. The proposed TBTF-CSW beam element provides an effective support for theoretical analysis of shear force distribution and engineering design for composite box girders with CSWs.
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图 3 新型箱梁单元TBTF-CSW(局部坐标系)
Figure 3. Novel box girder beam element TBTF-CSW (local coordinate system)
图 4 等截面波形钢腹板简支组合箱梁(单位: cm)
Figure 4. Prismatic simply supported composite box girder with CSWs (unit: cm)
图 6 等截面波形钢腹板组合箱梁各组成部分承剪比例(荷载工况1)
Figure 6. Distribution of shear force ratio in prismatic composite box girder with CSWs (loading case 1)
图 7 等截面波形钢腹板组合箱梁各组成部分承剪比例(荷载工况2)
Figure 7. Distribution of shear force ratio in prismatic composite box girder with CSWs (loading case 2)
图 9 变截面波形钢腹板组合箱梁有限元模型
Figure 9. Finite element model of tapered composite box girder with CSWs
图 10 变截面波形钢腹板组合箱梁各部分承剪比例
Figure 10. Distribution of shear force ratio in tapered composite box girder with CSWs
图 12 变截面波形钢腹板-UHPC组合试验梁模型(Solid-FEM)
Figure 12. Solid-FEM Model of tapered cantilever test specimen with CSWs and UHPC flanges
图 14 变截面波形钢腹板悬臂组合箱梁剪应力及承剪比例分布(工况1)
Figure 14. Distribution of shear stress and shear force ratio in tapered cantilever composite box girder with CSWs (working condition case 1)
图 15 变截面波形钢腹板简支组合箱梁剪应力及承剪比例分布(工况2)
Figure 15. Distribution of shear stress and shear force ratio in tapered simply supported composite box girder with CSWs (working condition case 2)
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