考虑剪力滞的波形钢腹板连续曲线箱梁内力求解方法

Internal force calculation of continuous curved box girder with corrugated steel webs considering shear lag

由于受到弯扭耦合效应的影响,波形钢腹板连续曲线箱梁受力情况极其复杂。为了研究波形钢腹板连续曲线箱梁的力学性能,考虑剪力滞效应和剪切变形的影响,基于能量法对波形钢腹板曲线箱梁(简称CCBG(CSWs))一次简支超静定结构的约束扭转控制微分方程进行补充修正,并结合CCBG(CSWs)简支结构进行分析验证;运用该微分方程结合三弯矩法对三跨波形钢腹板连续曲线箱梁进行内力求解,并与曲杆结构力学法、有限元分析结果进行比较。结果表明:考虑剪力滞效应和剪切变形的影响,采用该方法求得的内力结果与有限元求得的内力结果契合度较高,验证了方法的正确性;剪力滞效应和剪切变形对CCBG(CSWs)的内力存在着一定的影响,且对于多跨CCBG(CSWs)结构内力的影响更加明显。

The response of continuous curved box girder with corrugated steel webs is rather complicated due to the coupling effect of bending and torsion.In order to study the mechanical properties of continuous curved box girder with corrugated steel webs,considering the effect of shear lag and shear deformation,the restrained torsion differential equation of simply supported statically indeterminate curved box girder with corrugated steel webs(CCBG(CSWs))are derived based on the energy method,and then analyzed and verified by combining CCBG(CSWS)simply-supported structure,using the differential equation combined with the three-bending moment method to solve the internal force of a three-span continuous curved box girder with corrugated steel webs,and the results are compared with those of the curved bar structure mechanics method and of the finite element analysis.The results show that:considering the effect of shear lag and shear deformation,the internal force results obtained by the method proposed in this paper are in good agreement with those obtained by finite element method,which verifies the correctness of the method proposed.The shear lag effect and shear deformation have a certain influence on the internal forces of CCBG(CSWS),and the influence on the internal forces of multi-span CCBG(CSWS)structure is more obvious.