组合梁考虑滑移效应的理论分析

Analysis of Composite Beams with Interlayer Slip

钢-混凝土组合梁的刚度和挠度分析因可能受到两者界面的相对滑移影响而十分复杂.针对组合梁受界面滑移效应的影响,进行了静力线弹性分析,提出了组合梁挠度计算的二阶算法,分别建立了关于组合梁考虑滑移效应的挠度和层间相对滑移的二阶常微分方程,给出了相应的边界条件,求得了简支梁、悬臂梁、两端固定梁和一端简支一端固定梁4种不同边界条件组合梁在不同荷载作用下的层间相对滑移和挠度的理论精确解,并给出了组合梁受层间滑移效应影响的内力计算.通过与组合梁挠度计算高阶算法的对比,二阶算法简化了组合梁考虑滑移效应的挠度计算,给出了相对全面的计算结果.

The accurate analysis of the stiffness and deflection of steel and concrete composite beams is complicated due to the possible interface slippage. Exact procedures for static linear-elastic analysis of composite beams with interlayer slip were presented. An efficient second-order algorithm using two second-order ordinary differential equations in terms of interlayer slip and deflection was established to calculate the interlayer slip and the deflection of composite beams, and exact closed-form solutions for four Euler boundary conditions were then derived according to their boundary conditions. The internal forces of composite beams with interlayer slip were also derived. Compared with the higher-order algorithm, the second-order algorithm can simplify the calculation of the deflection of composite beams with interlayer slip and give relatively comprehensive solutions.