Bayesian model updating of a twin-tower masonry structure through subset simulation optimization using ambient vibration
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ORIGINAL PAPER
Bayesian model updating of a twin‑tower masonry structure through subset simulation optimization using ambient vibration data Pei Liu1 · Shuqiang Huang1 · Mingming Song2 · Weiguo Yang1 Received: 14 July 2020 / Revised: 22 September 2020 / Accepted: 7 October 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract A Bayesian model updating method using subset simulation optimization given ambient vibration data is proposed to improve the efficiency in sampling and avoid local optimums, which is applied to a full-scale high-rise structure. In the proposed method, the Bayesian fast Fourier transform method is used to extract the most probable values (MPVs) and coefficients of variation (COVs) of modal parameters of the structure, which are considered as the weighting factors in the likelihood function. The posterior probability density function (PDF) of the updating parameters is then derived considering the prior PDF as the regularization term. The subset simulation optimization algorithm is extended to find the global optimal solution of the posterior PDF. The MPVs and COVs of the updating parameters are finally presented. The proposed method is first verified by updating the 15 story stiffness scaling factors of a shear building model. Then, the proposed method is investigated through a numerical application of a four-story frame structure, in which accurate parameter estimations are observed independent of the prior PDF. Finally, the proposed method is applied to a real-world 13-story twin-tower masonry structure which is a modern heritage building. Ambient vibrations were measured through a series of accelerometers instrumented in the structure. The updating parameters are the moduli of elasticity of selected substructures with two model classes studied: three parameters and six parameters. The model-predicted modal parameters from the updated model are in good agreement with their identified counterparts. It is also shown that the case using three parameters provides larger evidence based on the Bayesian model class selection method. The updated refined finite element model provides a basis for the long-term structural health monitoring. Keywords Bayesian model updating · Subset simulation optimization · Masonry structure · Ambient vibration measurements · Bayesian modal identification
1 Introduction Model updating is a process of minimizing the error between the model-predicted and measured data features (e.g., time history response and modal parameters) by updating the model parameters, which is crucial to calibrate the refined finite element models (FEMs) representing real-world structures realistically incorporating actual effects. As a common and economic technique, ambient vibration tests are widely used to identify the dynamic properties of buildings * Pei Liu [email protected] 1
School of Civil Engineering, Beijing Jiaotong University, Beijing, China
Department of Civil and Environmental Engineering, Tufts University, Medford, MA, USA
2
in situ [1–10]. D
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