Online Damage Detection in Structural Systems [electronic resource] : Applications of Proper Orthogonal Decomposition, and Kalman and Particle Filters / by Saeed Eftekhar Azam.Material type: TextLanguage: English Series: SpringerBriefs in Applied Sciences and Technology: Publisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: XII, 135 p. 87 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783319025599Subject(s): Engineering | Vibration | Building construction | Engineering | Vibration, Dynamical Systems, Control | Signal, Image and Speech Processing | Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences | Building Repair and MaintenanceAdditional physical formats: Printed edition:: No titleDDC classification: 620 LOC classification: TA355TA352-356Online resources: Click here to access online
Introduction -- Recursive Bayesian estimation of partially observed dynamic systems -- Model Order Reduction of dynamic systems via Proper Orthogonal Decomposition -- POD-Kalman observer for linear time invariant dynamic systems -- Dual estimation and reduced order modeling of damaging structures -- Summary of the recursive Bayesian inference schemes.
This monograph assesses in depth the application of recursive Bayesian filters in structural health monitoring. Although the methods and algorithms used here are well established in the field of automatic control, their application in the realm of civil engineering has to date been limited. The monograph is therefore intended as a reference for structural and civil engineers who wish to conduct research in this field. To this end, the main notions underlying the families of Kalman and particle filters are scrutinized through explanations within the text and numerous numerical examples. The main limitations to their application in monitoring of high-rise buildings are discussed, and a remedy based on a synergy of reduced order modeling (based on proper orthogonal decomposition) and Bayesian estimation is proposed. The performance and effectiveness of the proposed algorithm is demonstrated via pseudo-experimental evaluations.