Title A Model-based Study on the Expansion of Measured Data and the Damage Detection
Authors Kang, Taik-Seon ; Lee, Byeong-Hyeon ; Eun, Hee-Chang
DOI https://doi.org/10.5659/JAIK_SC.2018.34.3.3
Page pp.3-10
ISSN 1226-9107
Keywords damage detection ; data expansion ; static approach ; eigenfunction ; minimization
Abstract 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.