多道负刚度阻尼伸臂结构减震性能的随机响应分析  

Random seismic response analysis on damping performance of multiple damped outrigger structures incorporating negative stiffness devices

作　　者：孙飞飞[1,2] 杨光 刘越 杨嘉琦 SUN Feifei;YANG Guang;LIU Yue;YANG Jiaqi(State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Department of Structural Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程防灾国家重点实验室,上海200092 [2]同济大学建筑工程系,上海200092

出　　处：《建筑结构学报》2024年第5期55-68,共14页Journal of Building Structures

基　　金：国家自然科学基金项目(52378531)。

摘　　要：针对传统黏滞阻尼伸臂(conventional damped outrigger, CDO)结构中由于外柱刚度有限造成最大附加阻尼比受限的不足,引入负刚度机制,将负刚度装置与阻尼器并联,形成负刚度阻尼伸臂(negative stiffness damped outrigger, NSDO)结构,在降低阻尼需求、控制结构的风振及地震作用响应方面具有显著的优势。基于连续化的Timoshenko梁建立多道负刚度阻尼伸臂结构的简化分析模型,并通过虚拟小质量法建立核心筒-伸臂结构的状态空间方程,最终通过求解Lyapunov方程得到结构的随机地震响应。并以两道伸臂为例,对两道NSDO(简称“2NSDO”)结构、两种布置方案的混合伸臂结构进行了随机地震响应参数化分析。结果表明:与传统阻尼伸臂结构相比,合理设置的NSDO结构的减震效果明显提高,层间位移角与无控结构(仅核心筒)层间位移角之比(即层间位移角减震效果)从0.68降至0.25以下,有害层间位移角的减震效果从0.71降至0.4以下,加速度、基底剪力和倾覆弯矩的减震效果均从0.7左右降至0.5以下;对比不同的NSDO布置形式,对于有害层间位移角、加速度、基底剪力和倾覆弯矩指标,2NSDO结构和传统伸臂(conventional outrigger, CO)在下部、NSDO在上部(1CO+1NSDO)的混合伸臂结构具有基本相同的显著减震效果,均能降至0.55以下,NSDO在下部、CO在上部(1NSDO+1CO)混合伸臂结构的可降至0.82以下;对于层间位移角,2NSDO结构的减震效果最好,可降至0.25左右,1CO+1NSDO和1NSDO+1CO结构的分别降至0.3和0.4以下。综合考虑减震效果及对结构静力刚度的影响,工程中更推荐采用1CO+1NSDO的伸臂布置形式。In response to the restriction of the maximum additional damping ratio caused by the limited stiffness of the perimeter columns in the conventional damped outrigger(CDO)structure,the concept of negative stiffness damped outrigger(NSDO)is proposed which introduces the negative stiffness device parallel with the damper.It has significant advantages in reducing the cost of damping and controlling the wind-induced vibration and seismic response of the structure,which is a novel idea of vibration reduction for high-rise buildings.In this paper,the analysis model of the multi-outrigger structure is established based on the continuous Timoshenko beam,and the state space equation of the structure-outrigger is established by the virtual small mass method.Finally,the random seismic response of the system is obtained by solving the Lyapunov equation.Taking the structure with two outriggers as an example,the parametric analysis of the random seismic response of the structure with two NSDOs(2NSDO)and the hybrid outrigger structures with two layout schemes are carried out.The results show that the seismic performance of the reasonably arranged NSDO structure is better than that of the CDO structure.The inter-story drift decreases from 0.68 times to less than 0.25 times of the uncontrolled structure(only the core tube),the harmful inter-story drift decreases from 0.71 times to 0.4 times,and the acceleration,base shear and bending moment all decrease from about 0.7 times to 0.5 times.Compared with different NSDO arrangement forms,the 2NSDO structure and the hybrid outriggers structure with a lower conventional outrigger(CO)and an upper NSDO(1CO+1NSDO)have significant control effects on the indexes of harmful inter-story drift,acceleration,base shear and bending moment,which can be reduced to 0.55 times.The hybrid-outriggers structure with a lower NSDO and an upper conventional outrigger(1NSDO+1CO)can reduce these indexes to 0.82 times.For the inter-story drift,the 2NSDO structure can reduce to about 0.25 times,and 1CO+1NSDO and

关 键 词：伸臂结构 负刚度 阻尼伸臂 多伸臂 随机地震响应 减震效果 

分 类 号：TU973.3[建筑科学—结构工程] TU317.1