框剪结构协同分析的状态空间法

在楼板刚性和连续化假定下,基于并联铁摩辛柯梁模型,引入建筑结构状态变量的概念,导出高层框架-剪力墙结构协同分析的控制微分方程,将方程进行无量纲化,建立框架-剪力墙结构协同分析的状态空间表达式,并采用精细积分法求出其高精度数值解,最终得到框-剪结构协同工作的变形和内力。建立的并联铁摩辛柯梁模型具有通用性,采用的计算方法精度较高,有很强的适用性,可以推广到其他结构的静力和动力计算中。

Coordination analysis of frame-shear wall structure

Under the assumptions of rigid floor and continuum method,based on the parallel Timoshenko beams model,introducing the state vectors concept of high-rise building,this paper found the control differential equation of cooperation analysis of frame-shear wall structure.Using the method,the state space expression of coordination analysis can be obtained.Then the high-precision numerical solution of the expression can be obtained with the precise integration method,so received the deformations and internal forces of structure.The parallel Timoshenko beams model adopted in this paper is a universal model and the precise integration method is effective,which can be used for mechanics analysis of other high-rise building structure systems.