Gibbs sampler-based probabilistic damage detection of structures using reduced order model

DOI10.1142/S021945542350075XzbMATH Open1537.74308MaRDI QIDQ6538138

Nirmalendu Debnath, Ayan Das

Publication date: 14 May 2024

Published in: International Journal of Structural Stability and Dynamics (Search for Journal in Brave)

zbMATH Keywords

model reductionGibbs samplingdamage detectionstructural health monitoringBayesian model updating

Mathematics Subject Classification ID

Factor analysis and principal components; correspondence analysis (62H25) Bayesian inference (62F15) Brittle damage (74R05) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Cites Work

• Positive definiteness via off-diagonal scaling of a symmetric indefinite matrix
• Minimum rank and minimum trace of covariance matrices
• Noise analysis for sensitivity-based structural damage detection
• Inference from iterative simulation using multiple sequences
• Finite element model updating in structural dynamics
• A Bayesian finite element model updating with combined normal and lognormal probability distributions using modal measurements
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
• An eigensystem realization algorithm for modal parameter identification and model reduction
• Model Updating In Structural Dynamics: A Survey
• Model reduction using dynamic and iterated IRS techniques
• Equation of State Calculations by Fast Computing Machines
• Identification of structural stiffness and mass using Bayesian model updating approach with known added mass: numerical investigation
• Damage identification of periodically-supported structures following the Bayesian probabilistic approach

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