摘要
在高层建筑设计过程,往往需要通过控制基本周期来实现更合理的设计。现有针对建筑基本周期的理论研究中,对于弯曲变形为主的剪力墙结构和剪切变形为主的框架结构,均有显式表达,但对于高层建筑常用的框架-核心筒结构,则缺少显式表达。本文基于哈密顿原理出发,采用变分法对框架-核心筒结构的基本周期进行推导,在考虑了框架柱轴向变形后,通过引入弯剪协同周期系数得出框架-核心筒结构基本周期的计算公式,并通过高层建筑有限元模型验证了公式的准确性。
During the design process of high⁃rise buildings,it is often necessary to control the fundamental natural period to achieve a more reasonable design.Considering the existing theoretical research on the fundamental natural period of buildings,there are explicit formulas for the shear wall and frame structures which are dominated by bending or shear deformation,while lacking the explicit formula for the frame⁃core structure which is commonly used in high⁃rise buildings.Based on Hamiltonian’s principle,this paper derived the explicit fundamental natural period formula for the frame⁃core structure by variational method.By introducing cooperative period coefficient of bending and shear,the explicit formula is finally obtained which also takes the axial deformation of the frame column into consideration.Finally,the explicit formula is used to calculating the results of finite element models which shows the good accuracy of the prosed formula.
作者
邱盛源
陈才华
Qiu Shengyuan;Chen Caihua(China Academy of Building Research,Beijing 100013,China)
出处
《建筑科学》
CSCD
北大核心
2024年第3期121-126,共6页
Building Science
基金
国家重点研发计划项目(2022YFC3802000)
中国建筑科学研究院有限公司科研项目(20220122330730017)。
关键词
高层建筑
基本周期
框架-核心筒结构
哈密顿原理
有限元模型
high⁃rise buildings
fundamental natural period
frame⁃core wall structure
Hamiltonian principle
finite element model
