Bayesian implicit filters for the analysis of numerically stiff structural dynamic state space models
Material type: BookLanguage: en Publication details: Bangalore : IISc , 2023 .Description: xxxiii, 336p. col. ill. ; 29.1 cm * 20.5 cm e-Thesis 18.53MbDissertation: PhD; 2023; Civil engineeringSubject(s): DDC classification:- 624 NIS
Item type | Current library | Call number | Status | Date due | Barcode |
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E-BOOKS | JRD Tata Memorial Library | 624 NIS (Browse shelf(Opens below)) | Available | ET00167 |
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PhD; 2023; Civil engineering
This thesis reports on combined experimental and computational investigations conducted on problems of state and combined state and parameter estimation applied to vibrating engineering structures. The standard dynamic state space modeling framework is adopted for this purpose, and the analysis is carried out using the Kalman filter (and its variants), particle filters, and Markov chain Monte Carlo (MCMC) samplers. A review of the relevant literature has revealed that these tools have not been applied to situations where the system under study and its numerical representation via the discretized process equation displays numerical stiff behaviour. This numerical stiffness is characterized by the presence of response components with widely separated decay rates and (or) frequencies of oscillations.
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