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Uncertainty analysis of strain modal parameters by Bayesian method using frequency response function
作者姓名:徐丽  易伟建  易志华
作者单位:Beijing University of Technology,Guangzhou University Guangzhou 510405 China,Hunan University,City College of New York NY 10031 USA,Beijing 100022 China,Changsha 410082 China
基金项目:建设部科技攻关项目 , 广东省广州市建设科技发展基金 , 广东省自然科学基金 , 广东省广州市科技局科技攻关项目
摘    要:Structural strain modes are able to detect changes in local structural performance, but errors are inevitably intermixed in the measured data. In this paper, strain modal parameters are considered as random variables, and their uncertainty is analyzed by a Bayesian method based on the structural frequency response function (FRF). The estimates of strain modal parameters with maximal posterior probability are determined. Several independent measurements of the FRF of a four-story reinforced concrete frame structural model were performed in the laboratory. The ability to identify the stiffness change in a concrete column using the strain mode was verified. It is shown that the uncertainty of the natural frequency is very small. Compared with the displacement mode shape, the variations of strain mode shapes at each point are quite different. The damping ratios are more affected by the types of test systems. Except for the case where a high order strain mode does not identify local damage, the first order strain mode can provide an exact indication of the damage location.

关 键 词:不确定分析  频率  变形模型  地震
文章编号:1671-3664(2007)02-0183-07
收稿时间:1 April 2007
修稿时间:2007-04-01

Uncertainty analysis of strain modal parameters by Bayesian method using frequency response function
Xu?Li,Yi?Weijian,Zhihua?Yi.Uncertainty analysis of strain modal parameters by Bayesian method using frequency response function[J].Earthquake Engineering and Engineering Vibration,2007,6(2):183-189.
Authors:Xu Li  Yi Weijian  Zhihua Yi
Institution:1. Beijing University of Technology, Beijing 100022, China;Guangzhou University, Guangzhou 510405, China
2. Hunan University, Changsha 410082, China
3. City College of New York, NY 10031, USA
Abstract:Structural strain modes are able to detect changes in local structural performance, but errors are inevitably intermixed in the measured data. In this paper, strain modal parameters are considered as random variables, and their uncertainty is analyzed by a Bayesian method based on the structural frequency response function (FRF). The estimates of strain modal parameters with maximal posterior probability are determined. Several independent measurements of the FRF of a four-story reinforced concrete frame structural model were performed in the laboratory. The ability to identify the stiffness change in a concrete column using the strain mode was verified. It is shown that the uncertainty of the natural frequency is very small. Compared with the displacement mode shape, the variations of strain mode shapes at each point are quite different. The damping ratios are more affected by the types of test systems. Except for the case where a high order strain mode does not identify local damage, the first order strain mode can provide an exact indication of the damage location.
Keywords:frequency response function  uncertainty  strain mode  Bayesian method  local damage  damage detection  concrete frame
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