钢-混凝土组合梁静动力响应

发布时间：2018-10-11 07:52

【摘要】：为了准确分析钢-混凝土组合梁的静力和动力响应,基于接触理论和有限单元法的基本思想,提出了组合梁单元的合理位移函数,推导了考虑剪切滑移效应的组合梁单元刚度方程,并结合动力学经典理论,给出了组合梁无阻尼状态下考虑交界面剪切滑移效应的各阶自振频率和振型计算方法。通过具体算例分析了钢-混凝土简支组合梁在竖向荷载作用下的挠度和交界面的剪切滑移应变差沿梁长的分布形态,并与试验结果进行了对比,结果表明:有限元解与试验结果基本一致,说明该有限元解是合理、可信的。利用上述刚度矩阵,基于经典动力学理论,计算了组合梁在考虑剪切滑移效应时的频率和振型,并与完全相互作用的结果进行了对比分析,说明在进行动力响应计算时应考虑剪切滑移的影响,为实际工程的设计提供了一种可靠的理论计算方法。
[Abstract]:In order to accurately analyze the static and dynamic responses of steel-concrete composite beams, based on the contact theory and the basic idea of finite element method, the reasonable displacement function of composite beam elements is proposed. The stiffness equation of composite beam considering shear-slip effect is derived, and combining with the classical theory of dynamics, the calculation method of natural frequency and vibration mode of composite beam considering the shear slip effect at interface is given under the condition of undamped state. The deflection of steel-concrete simply supported composite beam under vertical load and the distribution of shear slip strain difference at interface along the beam length are analyzed through a concrete example, and the results are compared with the experimental results. The results show that the finite element solution is basically consistent with the experimental results, which indicates that the finite element solution is reasonable and reliable. Based on the classical dynamic theory and the stiffness matrix mentioned above, the frequency and mode shape of composite beam considering shear slip effect are calculated and compared with the results of complete interaction. It is shown that the influence of shear slip should be taken into account in the calculation of dynamic response, which provides a reliable theoretical calculation method for practical engineering design.
【作者单位】：吉林建筑大学交通科学与工程学院;长春建筑学院交通学院;吉林大学交通学院;
【基金】：国家自然科学基金面上项目(51478203)
【分类号】：U441

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