考虑层与层相互支援的框架层抗侧刚度

摘要

This study found that the linear storey lateral stiffness of frame structures is decided not only by the bending and shearing stiffness of the beams and columns in the storey, but also by the stiffness of adjacent upper and lower floors, and by the form of the lateral loads, and this is inconsistent with the traditional frame theory. According to a study of the storey lateral stiffness of the one-span two-storey symmetric frame under different lateral loads, an analytical solution is proposed. Comparing the analytical solution of the storey stiffness with the traditional solutions, it is found that the traditional ones involve larger errors. Based on these new characteristics of the storey lateral stiffness, a new approximate solution for storey lateral stiffness of frame structures is proposed, with the effects of the shear deformations of the components and the interactions between different floors taken into account. Comparing with the analytical solutions and the FEM solutions, the proposed approximate solution is accurate and practical.%研究发现框架层的线性抗侧刚度是一个相对的概念，与相邻上下层的侧向刚度以及外荷载的形式有关，这与传统框架理论的结论不符。通过对简单的单跨二层对称框架结构在不同水平荷载作用下，层抗侧刚度的研究，提出各层抗侧刚度的解析解，与传统框架理论的结论相对比，发现传统框架理论求解框架线性层抗侧刚度的误差很大。根据上述属性，提出求解多层多跨框架层抗侧刚度的近似解法，近似法同时考虑框架梁柱构件的剪切变形影响，以及框架层与层之间的相互支援作用。与解析解以及有限元法的结果对比，文中提出的近似计算方法具有较好的精度，便于实际应用。