Title
Employing incomplete complex modes for model updating and damage detection of damped structures
Document Type
Article
Date of Original Version
12-1-2008
Abstract
In the study of finite element model updating or damage detection, most papers are devoted to undamped systems. Thus, their objective has been exclusively restricted to the correction of the mass and stiffness matrices. In contrast, this paper performs the model updating and damage detection for damped structures. A theoretical contribution of this paper is to extend the cross-model cross-mode (CMCM) method to simultaneously update the mass, damping and stiffness matrices of a finite element model when only few spatially incomplete, complex-valued modes are available. Numerical studies are conducted for a 30-DOF (degree-of-freedom) cantilever beam with multiple damaged elements, as the measured modes are synthesized from finite element models. The numerical results reveal that applying the CMCM method, together with an iterative Guyan reduction scheme, can yield good damage detection in general. When the measured modes utilized in the CMCM method are corrupted with irregular errors, assessing damage at the location that possesses larger modal strain energy is less sensitive to the corrupted modes. © 2008 Science in China Press and Springer-Verlag GmbH.
Publication Title, e.g., Journal
Science in China, Series E: Technological Sciences
Volume
51
Issue
12
Citation/Publisher Attribution
Li, Huajun, Fushun Liu, and Sau-Lon J. Hu. "Employing incomplete complex modes for model updating and damage detection of damped structures." Science in China, Series E: Technological Sciences 51, 12 (2008): 2254-2268. doi: 10.1007/s11431-008-0247-x.