简谐荷载作用下组合梁动滑移响应分析

Analytical dynamic slip solution for steel-concrete composite beams under harmonic load

由于组合梁在外力作用下钢梁与混凝土板之间会发生相对滑移,进行结构受力计算时须考虑滑移所致影响,基于组合梁基本动力理论,获得集中简谐荷载作用下组合梁挠度响应表达式,据挠度、滑移微分方程获得动滑移响应表达式。经一系列数学变换使动滑移响应表达式的静态分量部分满足级数求和条件。对比分析理论与实测结果表明,二者吻合良好。可将静滑移结果视为动滑移的特殊形式,简谐荷载分量对组合梁有效滑移影响较小,对连接件受力性能影响较大。

A relative slip will occur at the interface between steel girder and concrete slab of a composite beam when it is subjected to external loads, which should be taken into account in structural analyses. Based on the fundamental dynamic theory, an analytical deflection solution to simply-supported composite beams under concentrated harmonic load was derived, and according to the differential relationships between the deflection and slip, the dynamic slip response was obtained. The static component in the dynamic slip expression was made to meet the series summation conditions by applying a series of mathematical transformations. The theoretical results were compared with the experimental ones, showing a good agreement. The analysis results show that the static slip can be essentially counted as a special case of dynamic response, and the harmonic component has a relatively small effect on the effective slip, but a great influence on the mechanical performance of shear connectors.