弹性阶段波形钢腹板简支曲线组合梁弯扭变形的解析解

摘要

为了研究波形钢腹板简支曲线组合梁在弯扭复合作用下的挠度及扭转角效应,根据波形钢腹板自身的结构特点,考虑曲梁曲率、箱梁剪力滞效应、剪切变形和扭转变形,利用最小势能原理和变分法推导了弯扭效应微分方程,并采用伽辽金法进行求解,得到了竖向均布荷载下波形钢腹板简支曲线组合梁的挠度、扭转角的解析解,将计算结果与有限元模型计算结果进行了对比,结果吻合良好.%In order to research the deformation and torsional angle of the simply supported curved composite beams with corrugated steel webs,the bending-torsional differential equations are deduced by using the minimum energy principle according to the structural characteristics of the corrugated steel web,and considering the curvature of curved girder,shear lag effect of box girder,shear deformation and torsional deformation.The analytical solutions of the vertical deformation and torsional angle of the simply supported curved composite beams with corrugated steel webs under the vertical distribution load are obtained by Galerkin Method.The theoretical results have good consistency with the numerical results of the finite element model.