多自由度惯容系统耗能体系减震性能的实用分析方法  

Practical analysis method for seismic reduction performance of multiple-degree-of-freedom structure with inerter

作　　者：邓林[1,3] 葛新广 李祚华 DENG Lin;GE Xin-guang;LI Zuo-hua(School of Architecture and Civil Engineering,Huangshan University,Huangshan 245041,China;School of Civil Engineering and Architecture,Liuzhou Institute of Technology,Liuzhou 545616,China;Prefabricated Building Technology Innovation Center of Huangshan City,Huangshan 245041,China;School of Civil and Environmental Engineering,Harbin Institute of Technology(Shenzhen),Shenzhen 518055,China)

机构地区：[1]黄山学院建筑工程学院,安徽黄山245041 [2]柳州工学院土木建筑工程学院,广西柳州545616 [3]装配式建筑黄山市技术创新中心,安徽黄山245041 [4]哈尔滨工业大学(深圳)土木与环境工程学院,广东深圳518055

出　　处：《振动工程学报》2024年第12期2034-2044,共11页Journal of Vibration Engineering

基　　金：安徽省高校自然科学重点项目(2023AH051381,2022AH051956);国家自然科学基金资助项目(51978224)。

摘　　要：本文推导了由设置惯容系统的高层建筑结构组成的耗能体系随机地震动响应的简明封闭解,并探究了惯容系统在建筑结构中的设置方案,提出了惯容系统耗能体系实用分析法。根据串联型惯容系统的力学构造图及在建筑结构中的设置方案,建立了耗能体系耦合地震动方程。针对实际结构动力方程中阻尼和刚度参数不易求解的问题,利用有限元技术和动力学原理获得了以实模态振动参数表示的无控结构动力方程的等效形式,并重构了串联型惯容系统耗能体系的地震动方程。基于功率谱密度函数的二次式分解法推导出建筑结构相对于地面位移、层间位移及惯容阻尼力等系列响应谱矩的简明封闭解。通过算例验证了所提简明封闭解的正确性;并研究了实模态振型数对于系列响应0~2阶谱矩的影响和惯容系统设置楼层位置对高层建筑结构减震效果的影响。研究表明,在对多自由度耗能结构进行响应分析时,采用无控结构自由振动分析时振型参与质量比累计达到100%所对应的实振型个数可获得稳定的分析精度和计算效率;以减少无控结构层间位移作为串联型惯容系统在建筑结构中的布置策略是可行的。本文可为复杂建筑结构设置串联型惯容系统的随机地震动响应分析提供参考。A practical analysis method for inertia damper energy dissipation systems composed of building structures with inertia dampers is proposed,including of concise closed-form solutions for the random seismic response and a practical setting strategy for inertia dampers.Based on the mechanical structure diagram of the series inertial damper and installation method in buildings,the coupled seismic motion equation of the energy dissipation system is established.In response to the difficulty in solving the damping and stiffness parameters in the actual dynamic equations of structures,an equivalent form of the uncontrolled structure represented by real modal vibration parameters is obtained based on finite element technology and dynamic principles,and the dynamic equation of the inertia damper energy dissipation system is reconstructed.Based on the quadratic decomposition method of the power spectral density function,closed-form solutions of the spectral moments of the building structure relative to ground displacement,interlayer displacement,and inertial damping force are derived.The correctness of the proposed concise closed form solution is verified through numerical examples,and the influence of real mode number on the 0~2 spectral moment of series response and the influence of floor position of inertia dampers on the seismic reduction effect of structures are studied.Results show that,using the number of actual vibration modes corresponding to the cumulative participation coefficient of 100%in the free vibration analysis of uncontrolled structures can achieve stable analysis accuracy and computational efficiency for the response analysis of multi-degree of-freedom energy dissipating structures,and to use reducing interlayer displacement of uncontrolled structures as the placement strategy for installation of inertial dampers is simple and feasible.This paper can provide a reference for the analysis of random ground motion response of complex building structure with series inertia capacity system.

关 键 词：串联型惯容系统 二次式分解法 谱矩 封闭解 实用分析法 

分 类 号：TU311.3[建筑科学—结构工程] TU352.1