Numerical and experimental study of damage identification based on covariance of displacement response
Received:November 26, 2019  Revised:January 06, 2020
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DOI:10.7511/jslx20191126001
KeyWord:structural damage identification  displacement response  covariance  impulse response function  structural health monitoring
     
AuthorInstitution
李雪艳 暨南大学 力学与建筑工程学院 重大工程灾害与控制教育部重点实验室, 广州
汪羽凡 暨南大学 力学与建筑工程学院 重大工程灾害与控制教育部重点实验室, 广州
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Abstract:
      Covariance of displacement response is used for damage detection in the article.The analytical formula of the covariance of displacement response (CoD) is derived and established.It is the function of structural frequency,mode shape and damping ratio and so on.The change of the structural physical parameters will lead to the change of CoD.A seven-floor steel frame structure is numerically studied to demonstrate the feasibility of the proposed method.From the CoD distribution of different damage states and the curve of CoD of every element versus the damage extent,it can be seen that the damaged elements have the biggest changes of CoD and the neighboring and symmetric elements have the second biggest changes.The analysis of a single-damage case and a multiple-damage cases,shows that the damage occurrence and damage location can be identified successfully based on the changes of CoDs between the intact state and the damage state.Finally the proposed method is applied to damage detection of a simply supported steel beam tested in a lab.The displacement responses are obtained by twice integrating the measured acceleration responses of the beam excited by a hammer.Then the CoDs are computed and their changes are obtained due to the cut on the beam.The damage probability vector is obtained from the normalization of the CoD change vector.The sensor nearest the damage location has the biggest damage probability.So the damage location is found satisfactorily.The proposed method has good noise robustness,does not need the analytical structural model and is easily computed.So it has good performance in engineering applications.