2022
DOI: 10.1016/j.ymssp.2022.108871
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Accounting for model form uncertainty in Bayesian calibration of linear dynamic systems

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Cited by 11 publications
(4 citation statements)
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“…Previous research has quantified the uncertainty in the model parameters by performing uncertainty propagation, sensitivity, Bayesian model updating, or reliability analyses to assess the effects of the uncertainty in the model parameters on the seismic response and performance of structures 43,45–50 . They have explicitly considered the uncertainty in the model parameters by modeling it through suitable PDFs.…”
Section: Numerical Simulation Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…Previous research has quantified the uncertainty in the model parameters by performing uncertainty propagation, sensitivity, Bayesian model updating, or reliability analyses to assess the effects of the uncertainty in the model parameters on the seismic response and performance of structures 43,45–50 . They have explicitly considered the uncertainty in the model parameters by modeling it through suitable PDFs.…”
Section: Numerical Simulation Resultsmentioning
confidence: 99%
“…Previous research has quantified the uncertainty in the model parameters by performing uncertainty propagation, sensitivity, Bayesian model updating, or reliability analyses to assess the effects of the uncertainty in the model parameters on the seismic response and performance of structures. 43,[45][46][47][48][49][50] They have explicitly considered the uncertainty in the model parameters by modeling it through suitable PDFs. They have demonstrated that considering this source of uncertainty introduces significant variability in the results of the seismic performance-based design and assessment of structures.…”
Section: Importance Of Uncertainty Quantificationmentioning
confidence: 99%
“…This is because the relationship between the gap length 𝜃 and the strain measurements 𝑥 𝑧 is highly nonlinear and only available numerically through the finite element simulation. One can rely on numerical approximation techniques like Markov chain Monte Carlo (MCMC) methods or sequential Monte Carlo (SMC) methods to solve the inference problem (refer to [64,66,67,68]). However, these numerical techniques demand evaluation of the likelihood function 𝑓 𝑋 𝑧 |Θ (𝑥 𝑧 |𝜃) at numerous values of 𝜃.…”
Section: Inferring the Gap Length Using Bayesian Inferencementioning
confidence: 99%
“…The inherent architecture of the TMCMC algorithm allows for parallel computing and hence is ideal for inference when dealing with computationally expensive high-fidelity FE models. The algorithmic details of the TMCMC can be found in [64,69,67,68]. Besides, TMCMC has been applied to the miter gate model in [66].…”
Section: Inferring the Gap Length Using Bayesian Inferencementioning
confidence: 99%