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강택선(Kang, Taik-Seon),이병헌(Lee, Byeong-Hyeon),은희창(Eun, Hee-Chang) 대한건축학회 2018 大韓建築學會論文集 : 構造系 Vol.34 No.3
It`s not practical to collect all information at the entire degrees of freedom of finite element model. The incomplete measurements should be expanded for subsequent analysis and damage detection. This work presents the analytical methods to expand the incomplete static or dynamic response data. Using the expanded data, introducing the concept of residual force, and minimizing the performance index expressed as the stiffness matrix and its difference before and after damage, the variation in stiffness matrix is derived. Based on the difference in the stiffness matrix, the damage detection method of structures is also provided. The validity of the proposed methods is illustrated in a numerical application, the numerical results are analyzed for applications, and the applicability of both methods is investigated.
파라미터행렬의 변화량 추정에 근거한 트러스 구조물의 손상탐지
강택선(Kang, Taik-Seon),이병현(Lee, Byeong-Hyeon),은희창(Eun, Hee-Chang) 대한건축학회 2018 大韓建築學會論文集 : 構造系 Vol.34 No.1
This work provides the analytical methods to represent the updated form of stiffness or flexibility matrices using the measurements of the first few natural frequencies and the corresponding mode shapes. This study derives the mathematical forms on the variance of stiffness or flexibility matrices to minimize the performance index in the satisfaction of the eigen-function including the residual force depending on the measured data. The proposed methods can be utilized in detecting damage and updating the parameter matrices deviated from the analytical parameter matrices. The validity of the proposed methods is investigated in a numerical experiment of truss structure and the numerical results of stiffness-based and flexibility-based methods are compared. The sensitivity to the external noise is also examined for applying to the practical work.