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为研究滑移和剪切变形对部分充填式钢箱-混凝土组合梁变形影响,基于Timoshenk两广义位移理论和能量变分原理,提出组合梁变分计算模型和假定.利用最小势能原理并结合边界条件,分别推导考虑双重变形模式的简支组合钢箱梁负弯矩区滑移微分方程、挠度及附加弯矩的联合弹性解析解.对比两根不同抗剪连接程度组合梁的实测值及理论公式计算值,分析结果表明:在弹性阶段运用变分法推导的挠度及其滑移计算值与实测值相吻合,从而证明了理论公式的有效性.
In order to study the effect of slip and shear deformation on the deformation of partially filled steel box-concrete composite beams, the variational calculation model and assumption of composite beams are proposed based on the generalized Timoshenk theory and energy variational principle. By using the principle of minimum potential energy and combining with the boundary The differential equations of elasticity, the deflection and the additional bending moment of the composite box girder with simply supported composite box girder considering the double deformation mode are deduced respectively.The results of two measured values and theory of the composite beams with different shear connection degrees are compared The results show that the calculated deflection and the slip calculated by the variational method coincide with the measured values in the elastic phase, which proves the validity of the theoretical formula.