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An Exact Approach for Structural Damage Assessment
An Exact Approach for Structural Damage Assessment
- Source :
- Mathematical Problems in Engineering, Vol 2013 (2013)
- Publication Year :
- 2013
- Publisher :
- Hindawi Limited, 2013.
-
Abstract
- An exact approach is proposed for damage identification in statically determinate structures. The contribution of this study is twofold. Firstly, a rigorous disassembly formulation of structural global flexibility matrix is presented based on the matrix spectral decomposition, which can provide an exact relationship between the modifications of structural stiffness parameters and the associated flexibility matrix. Secondly, the static minimum-rank flexibility change is derived to obtain the exact flexibility change before and after damage. The proposed method is economical in computation and is simple to implement. For the statically determinate structures, the proposed method can exactly compute the elemental perturbed stiffness parameter only using a few of incomplete static displacement data. The efficiency of the proposed method is demonstrated by two statically determinate structures.
- Subjects :
- Flexibility (engineering)
Mathematical optimization
Statically indeterminate
Article Subject
General Mathematics
Computation
lcsh:Mathematics
General Engineering
Stiffness
lcsh:QA1-939
Matrix decomposition
Matrix (mathematics)
lcsh:TA1-2040
medicine
Flexibility method
Applied mathematics
Direct stiffness method
medicine.symptom
lcsh:Engineering (General). Civil engineering (General)
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 15635147
- Volume :
- 2013
- Database :
- OpenAIRE
- Journal :
- Mathematical Problems in Engineering
- Accession number :
- edsair.doi.dedup.....31e9b45ce2a586f25686675f5d7cf632