钢-混凝土简支结合梁基本动力特性的解析解

摘要

Considering the slip between the steel girder and concrete slab,the basic equations governing the mo-tion of steel-concrete composite beams with damping were deduced with the direct balanced method.By varia-ble separation approach,the analytical solutions to natural frequencies and modes of vibration of simply-sup-ported composite beams were obtained,and the orthogonal conditions were discussed.By comparison,the the-oretical,numerical and experimental results were found to agree well.The analysis results also show that due to the flexible shear connectors,the relative slip occurs between the steel girder and concrete slab of the com-posite beams and the dynamic equilibrium equations become more complex and demonstrate dynamic character-istics different from conventional beams.%考虑钢梁与混凝土板之间的相对滑移，对考虑阻尼的钢-混凝土结合梁基本动力方程进行推导，采用分离变量法得到简支结合梁自振频率与振型的解析解，并对其正交条件进行探讨。将理论分析结果、数值结果及试验结果进行对比分析，结果吻合良好。分析结果表明：由于柔性抗剪连接件的存在，结合梁中钢梁与混凝土板之间发生相对滑移，其动力平衡方程形式更为复杂，表现出与普通梁不同的动力特性。