隔震结构动力时程响应的一种工程实用算法

英文篇名：A practical engineering method for calculating dynamic time history response of construction with seismic isolation
中文刊名：甘肃工业大学学报
英文刊名：Journal of Gansu University of Technology
作者：杜永峰 ; 李慧 ; B.F.Spencer ; Jr ; 白莉 ; 张丽娟
英文作者：DU Yongfeng1 ; LI Hui1 ; Billie F. SPENCER ; Jr.2 ; BAI Li1 ; ZHANG Lijuan1 (1. Institute of Earthquake Protection and Disaster Mitigation ; Lanzhou Univ. of Tech. ; Lanzhou730050 ; China ; 2. Dept of Civil and Environmental Engineering ; University of Illinois at Urbana and Champaign ; IL 61801 ; USA)
中文关键词：基础隔震 ; 非比例阻尼 ; 结构控制 ; 动力分析
英文关键词：base isolation ; non-proportional damping ; structural control ; dynamic analysis
出版日期：2003-09-25
机构：兰州理工大学防震减灾研究所,兰州理工大学防震减灾研究所,美国伊利诺伊大学土木与环境工程系,兰州理工大学防震减灾研究所,兰州理工大学防震减灾研究所甘肃兰州　730050 ,甘肃兰州　730050 ,伊利诺伊厄巴纳　61801 ,甘肃兰州　730050 ,甘肃兰州　730050
年：2003
期：03
出版单位：甘肃工业大学学报

摘要

对非比例阻尼体系动力响应的时域一般解答做了简介,分析了非比例阻尼隔震体系在阻尼耦联及频域响应方面的特点,提出了任意多自由度体系时域动力响应的一种工程实用算法.并通过实际隔震工程算例的结果对比,表明本文算法与复振型分解法、双精度Fortran下的Wilson θ法及Matlab下的Simulink这3种方法几种算法的时程曲线完全重合.
A brief introduction is made to the general solution of dynamic time domain response of nonproportionally damped seismic isolation system. The characteristics of damping coupling and frequency response of such system is analysed, and a practical engineering method is suggested for calculating dynamic time domain response of nonproportionally damped MDOF isolated structure. Taking a real seismic isolation building as engineering illustration, the seismic response is calculated using the method suggested in this paper, and the results are compared with those from complex mode super position method, Wilsonθ method, and Simulink method in Matlab. The displacement, velocity and acceleration time history response curves obtained from the four different methods agree very well with each other.

引文

[1]　SpencerBF,Jr.,JohnsonEA,RamalloJC.Smartisolationforseismiccontrol[J].JSMEInternationalJournal,SpecialissueonFrontiersofMotionandVibrationControl,2000,43(3):704711.
    [2]　KellyJM.Theroleofdampinginseismicisolation[J].EarthqEngrgandStrucDyn,1999,28(1):3 20.
    [3]　杜永峰,许铁生.多层隔震框架多自由度体系解耦动力分析[J].甘肃工业大学学报,1996,22(1):94 100.
    [4]　李　慧,杜永峰,屠锦敏,等.叠层橡胶垫隔震技术的研究[J].甘肃工业大学学报,1999,22(1):80 83.
    [5]　周锡元.一般有阻尼线性体系地震反应的振型分解方法[A].国家地震局工程力学研究所主编.地震工程研究进展(刘恢先80寿辰纪念文集)[C].北京:地震出版社,1992.120 125.
    [6]　杜永峰,赵国藩.隔震结构中非经典阻尼影响及最佳阻尼比分析[J].地震工程与工程振动,2000,20(3):100 107.
    [7]　FossFA.Co ordinateswhichuncoupletheequationofmotionofdampedlinearsystem[J].JAppMech,1958,26(3):361 364.
    [8]　CrandallSH,McCalleyRB,Jr.Numericalmethodofanalysis[M].NewYork:McGraw Hill,1961.
    [9]　IgusaT,DerKiureghianA,SackmanJL.Modeldecompositionmethodforstationaryresponseofnon classicallydampedsystems[J].EarthqEngrgandStrucDyn,1984,12(1):121 136.
    [10]　DuYongfeng,LiHui,SpencerBF,Jr.Effectofnon proportionaldampingonseismicisolation[J].JournalofStructuralControl,2002,9(3):205 236.
    [11]　大崎顺彦.振动理论[M].谢礼立译.北京:地震出版社,1990.
    [12]　HeylenW,LammensS,SasP.Modalanalysistheoryandtesting[M].Heverlee(Belgium):KatholiekeUniversiteitLeuven,1997.
    [13]　SinhaR,IgusaT.CQCandSRSSmethodfornon classicallydampedstructures[J].EarthqEngrgandStrucDyn,1990,24(4):615 619.
    [14]　杜永峰,杜小妮,赵国藩.用拉普拉斯变换方法求解非比例阻尼隔震结构[J].兰州大学学报(自然科学版),2000,36(11):40 45.