[1]王刚,周晓青.过滤白噪声地震动模型的CQC振型相关系数计算[J].深圳大学学报理工版,2018,35(No.2(111-220)):128-131.[doi:10.3724/SP.J.1249.2018.02128]
 WANG Gang and ZHOU Xiaoqing.Calculation of CQC mode correlation coefficients under filtered white noise model of earthquake ground motion[J].Journal of Shenzhen University Science and Engineering,2018,35(No.2(111-220)):128-131.[doi:10.3724/SP.J.1249.2018.02128]
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过滤白噪声地震动模型的CQC振型相关系数计算()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第35卷
期数:
2018年No.2(111-220)
页码:
128-131
栏目:
土木建筑工程
出版日期:
2018-03-20

文章信息/Info

Title:
Calculation of CQC mode correlation coefficients under filtered white noise model of earthquake ground motion
文章编号:
201802003
作者:
王刚周晓青
深圳大学土木工程学院,广东深圳 518060
Author(s):
WANG Gang and ZHOU Xiaoqing
seismic engineering; modal correlation coefficient; complete quadratic combination; mode-superposition response spectrum analysis; Lyapunov equation; filtered white noise
关键词:
工程抗震 振型相关系数 完全二次型组合 振型分解反应谱法 Lyapunov方程 过滤白噪声
Keywords:
seismic engineering modal correlation coefficient complete quadratic combination response- spectrum analysis Lyapunov equation filtered white noise
分类号:
TU 311.3
DOI:
10.3724/SP.J.1249.2018.02128
文献标志码:
A
摘要:
当地震动模型为过滤白噪声时,通过频域有理分式积分,求完全二次型组合(complete quadratic combination,CQC)振型相关系数的闭合表达式将变得困难和不实用.本研究提出将传递函数转化为状态空间方程,通过求解Lyapunov方程得到振型相关系数的方法,且通过用Kanai/Tajimi模型验证了方法的有效性.该方法可推广到常见的过滤白噪声地震动模型,避免了频域有理分式积分闭合解的冗长公式,计算量小,可靠性好,是精确解.
Abstract:
When filtered white noise is used to model ground motion, the computation of complete quadratic combination (CQC) modal correlation coefficients by integration of rational function becomes difficult, and the closed-form formulas become tedious and impractical. We propose a new method to obtain modal correlation coefficients by transforming transfer function model into state space model and then by solving a Lyapunov equation. This method can be extended to the situation where filtered white noise ground motion models are used. Kanai/Tajimi model is used to verify the correctness of the proposed method. It is not only concise, reliable and numerical efficient but also can avoid solving tedious closed-form formulas of integration of rational functions.

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备注/Memo

备注/Memo:
Received:2017-12-04;Accepted:2018-01-15
Foundation:National Natural Science Foundation of China (51678364)
Corresponding author:Associate professor ZHOU Xiaoqing.E-mail: xqzhou@szu.edu.cn
Citation:WANG Gang, ZHOU Xiaoqing. Calculation of CQC mode correlation coefficients under filtered white noise model of earthquake ground motion[J]. Journal of Shenzhen University Science and Engineering, 2018, 35(2): 128-131.(in Chinese)
基金项目:国家自然科学基金资助项目(51678364)
作者简介:王刚(1972—),男,深圳大学副教授、博士.研究方向:结构振动,工程抗震.E-mail:cewangg@szu.edu.cn
引文:王刚,周晓青.过滤白噪声地震动模型的CQC振型相关系数计算[J]. 深圳大学学报理工版,2018,35(2):128-131.
更新日期/Last Update: 2018-03-07