结构能量反应的振型分解法研究

英文篇名：Research on modal decomposition method for structure's energy response equation
中文刊名：合肥工业大学学报(自然科学版)
英文刊名：Journal of Hefei University of Technology(Natural Science)
作者：常磊 ; 叶献国
英文作者：CHANG Lei ; YE Xian-guo(School of Civil and Hydraulic Engineering ; Hefei University of Technology ; Hefei 230009 ; China)
中文关键词：振型分解 ; 模态能量方程 ; 模态能量 ; 基于能量的抗震设计
英文关键词：modal decomposition ; modal energy response equation ; modal energy ; energy-based seismic design
出版日期：2010-07-28
机构：合肥工业大学土木与水利工程学院;
年：2010
期：07
出版单位：合肥工业大学学报(自然科学版)

摘要

文章利用振型分解理论实现了弹性体系能量方程的振型分解,得出各阶模态能量反应方程,并提出了模态能量的概念;指出结构能量反应方程可以表示为各阶模态能量方程的叠加,并给出了结构总能量反应与SDOF体系相应能量反应间的关系式。此关系式有较强的物理意义,可从能量的角度反映Pushover分析中一些方法的合理性。
The modal decomposition of energy response equation of elastic system is realized in this paper,with each modal energy response equation deduced and a concept of modal energy put forward.It is pointed out that the structure's energy response equation can be expressed as linear assembly of each modal energy response equation.A relation formula between the structure's energy response and the corresponding energy response of Single-Degree of Freedom(SDOF) system with unit mass is proposed.This formula has a strong physical meaning and can reflect the reasonableness of some methods used in the Pushover analysis in the point of energy.

引文

[1]翟希梅,吴知丰.多层结构能量计算的振型分解方法[J].哈尔滨工业大学学报,1998,30(1):121-124.
    [2]Uang C M,Bertero V V.Evaluation of seismic energy instructures[J].Earthquake Engineering&Structural Dy-namics,1990,19(1):77-90.
    [3]Chopra A K,Goel R K.A modal pushover analysis proce-dure for estimating seismic demands for buildings[J].Earthquake Engineering&Structural Dynamics,2002,31(3):561-582.
    [4]程光煜,叶列平.弹性多自由度系统地震输入能量的研究[J].工程抗震与加固改造,2006,28(4):6-17.
    [5]周云,乐登,邓雪松.设计用地震动总输入能量谱研究[J].工程抗震与加固改造,2008,30(5):1-7.
    [6]刘金龙.能力谱方法在模态Pushover分析中的应用[J].沈阳建筑大学学报:自然科学版,2009,25(1):90-94.
    [7]王丰,李宏男.多维结构地震位移反应的近似估计[J].多维能力谱法振动工程学报,2006,19(2):270-276.
    [8]Chopra A K.Dynamics of structures:theory and applica-tions to earthquake engineering[M].北京:清华大学出版社,2005:508-532.
    [9]Li Kangning.CANNY technical manual[M].Singapore:Canny Consultant Pte Ltd,2009:246-281.