工程结构随机地震响应分析的大质量扩阶解法

英文篇名：On large mass expanding rank method of random earthquake response analysis in project structure
中文刊名：山西建筑
英文刊名：Shanxi Architecture
作者：曹春青
英文作者：CAO Chun-qing
中文关键词：结构工程 ; 扩阶 ; 大质量 ; 地震响应 ; 随机分析
英文关键词：structural project ; expanding rank ; large mass ; earthquake response ; random analysis
出版日期：2011-06-10
机构：中铁电气化局集团北京建筑工程有限公司;
年：2011
期：17
出版单位：山西建筑

摘要

为简化求解平稳过滤白噪声地震动激励下工程结构动力响应的求解公式,提出一种大质量扩阶解法,将输入简化为白噪声模型。结合复振型分解理论,即可基于白噪声过程激励下单自由度结构动力响应的求解公式获得结构在复杂地震动作用下的随机动力响应,并指出该方法可避免繁琐的积分运算,求解速度快,值得推广应用。
In order to simplify the solving formula for the engineering dynamic response under the stationary filtered white noise seismic motions,the paper points out the large mass expanding rank method to simplify the input to be the white noise model,combines the complex mode decomposition theory,indicates the random dynamic response of the structure can be obtained in the complicated seismic effect for the solving formula of the single degree of freedom structure under the white-noise process,and points out the method can avoid the complicated integral operation and have speedy solution speed,so it can be further applied.

引文

[1]Fang.T,Wang.Z N.Stationary Response Due to Arbitrarily Fil-tered White Noise Excitation[J].Journal of Northwestern Uni-versity.English Extra Issue,1987,3(1):41-48.
    [2]方同.工程随机振动[M].北京:国防工业出版社,1995.
    [3]姚昌仁,麻永平.结构随机激励的响应灵敏度分析[J].力学学报,1990,22(4):438-445.
    [4]侯志强,李跃.迟滞系统受随机激励的响应计算[J].应用力学学报,2003,20(4):101-104.
    [5]李创第,李暾,黄天立,等.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.
    [6]李暾,李创第,章本照.带TLD结构随机风振响应的解析解[J].哈尔滨工业大学学报,2003,35(4):437-440.
    [7]李创第,丁晓华,陈俊忠,等.基础隔震结构基于Clough-Pe-nzien谱随机地震响应分析的复模态法[J].振动与冲击,2006,25(5):39-43.
    [8]吴存利,冷小磊,方同.随机结构地震响应的TMD控制[J].西北工业大学学报,2007,25(2):305-311.
    [9]Kanai.K.Semi-empirical Formula for the Seismic Characteris-tics of the ground Motion[R].Japan:Earthquake Research In-stitute University of Tokyo,1957:309-325.
    [10]Tajimi.H A.Statistical Method of Determining the MaximumResponse of Building Structure During an earthquake[J].2end Word Conference on Earthquake Engineering,1960(35):781-798.
    [11]Zhou X Y,Yu R F,Dong D.Complex mode superposition algo-rithm for seismic responses of non-classically damped linearMDOF system[J].Journal of Earthquake Engineering,2004,8(4):597-641.