Bayesian structural identification of a long suspension bridge considering temperature and traffic load effects

This article presents a probabilistic structural identification of the Tamar bridge using a detailed finite element model. Parameters of the bridge cables initial strain and bearings friction were identified. Effects of temperature and traffic were jointly considered as a driving excitation of the bridge’s displacement and natural frequency response. Structural identification is performed with a modular Bayesian framework, which uses multiple response Gaussian processes to emulate the model response surface and its inadequacy, that is, model discrepancy. In addition, the Metropolis–Hastings algorithm was used as an expansion for multiple parameter identification. The novelty of the approach stems from its ability to obtain unbiased parameter identifications and model discrepancy trends and correlations. Results demonstrate the applicability of the proposed method for complex civil infrastructure. A close agreement between identified parameters and test data was observed. Estimated discrepancy functions indicate that the model predicted the bridge mid-span displacements more accurately than its natural frequencies and that the adopted traffic model was less able to simulate the bridge behaviour during traffic congestion periods.

[1]  James M. W. Brownjohn,et al.  Development of a Tamar Bridge Finite Element Model , 2011 .

[2]  James M. W. Brownjohn,et al.  Long-term monitoring and data analysis of the Tamar Bridge , 2013 .

[3]  K. Koo,et al.  Effect of Solar Radiation on Suspension Bridge Performance , 2015 .

[4]  Babak Moaveni,et al.  Accounting for environmental variability, modeling errors, and parameter estimation uncertainties in structural identification , 2016 .

[5]  Claudomiro Sales,et al.  A global expectation-maximization based on memetic swarm optimization for structural damage detection , 2016 .

[6]  Costas Papadimitriou,et al.  Hierarchical Bayesian model updating for structural identification , 2015 .

[7]  A. O'Hagan,et al.  Bayesian calibration of computer models , 2001 .

[8]  W. K. Hastings,et al.  Monte Carlo Sampling Methods Using Markov Chains and Their Applications , 1970 .

[9]  Guido De Roeck,et al.  Dealing with uncertainty in model updating for damage assessment: A review , 2015 .

[10]  James L. Beck,et al.  Bayesian Analysis of the Phase II IASC–ASCE Structural Health Monitoring Experimental Benchmark Data , 2004 .

[11]  I. Smith,et al.  Structural identification with systematic errors and unknown uncertainty dependencies , 2013 .

[12]  Hoon Sohn,et al.  Effects of environmental and operational variability on structural health monitoring , 2007, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[13]  Yanjie Zhu,et al.  Comprehensive Bayesian structural identification using temperature variation , 2017 .

[14]  C. Ray Smith,et al.  Maximum Entropy and Bayesian Methods , 1992 .

[15]  Ian F. C. Smith,et al.  Methodologies for predicting natural frequency variation of a suspension bridge , 2014 .

[16]  Guido De Roeck,et al.  REFERENCE-BASED STOCHASTIC SUBSPACE IDENTIFICATION FOR OUTPUT-ONLY MODAL ANALYSIS , 1999 .

[17]  Hua Lee,et al.  Maximum Entropy and Bayesian Methods. , 1996 .

[18]  J. Beck,et al.  Bayesian Updating of Structural Models and Reliability using Markov Chain Monte Carlo Simulation , 2002 .

[19]  R. Cole,et al.  Structural health monitoring of the Tamar suspension bridge , 2013 .

[20]  Filipe Magalhães,et al.  Dynamic identification and continuous dynamic monitoring of bridges: different applications along bridges life cycle , 2018 .

[21]  Franco Bontempi,et al.  Structural health monitoring of a cable-stayed bridge with Bayesian neural networks , 2015, Design, Assessment, Monitoring and Maintenance of Bridges and Infrastructure Networks.

[22]  P. G. Bakir,et al.  Investigation of Uncertainty Changes in Model Outputs for Finite-Element Model Updating Using Structural Health Monitoring Data , 2014 .

[23]  Ki-Young Koo,et al.  Measuring and modelling the thermal performance of the Tamar Suspension Bridge using a wireless sensor network , 2015 .

[24]  Shenfang Yuan,et al.  On-line updating Gaussian mixture model for aircraft wing spar damage evaluation under time-varying boundary condition , 2014 .

[25]  A. O'Hagan,et al.  Supplementary details on Bayesian Calibration of Computer Models , 2006 .

[26]  Yi-Qing Ni,et al.  Technology developments in structural health monitoring of large-scale bridges , 2005 .

[27]  Søren Nymand Lophaven,et al.  DACE - A Matlab Kriging Toolbox , 2002 .

[28]  C. Papadimitriou,et al.  The effect of prediction error correlation on optimal sensor placement in structural dynamics , 2012 .

[29]  James L. Beck,et al.  Bayesian Updating and Model Class Selection for Hysteretic Structural Models Using Stochastic Simulation , 2008 .

[30]  Hoon Sohn,et al.  A Bayesian Probabilistic Approach for Structure Damage Detection , 1997 .

[31]  Paul D. Arendt,et al.  Quantification of model uncertainty: Calibration, model discrepancy, and identifiability , 2012 .

[32]  Franklin Moon,et al.  Temperature-based structural health monitoring baseline for long-span bridges , 2015 .

[33]  Robert Westgate,et al.  Environmental Effects on a Suspension Bridge's Performance , 2012 .

[34]  Daniel W. Apley,et al.  Improving Identifiability in Model Calibration Using Multiple Responses , 2012, DAC 2011.

[35]  Costas Papadimitriou,et al.  Probabilistic damage identification of a designed 9-story building using modal data in the presence of modeling errors , 2017 .

[36]  Antonia Papandreou-Suppappola,et al.  An adaptive learning damage estimation method for structural health monitoring , 2015 .

[37]  Branko Glisic,et al.  Value of information: impact of monitoring on decision‐making , 2014 .

[38]  H. Haario,et al.  An adaptive Metropolis algorithm , 2001 .

[39]  Ian F. C. Smith,et al.  Temperature Variations as Loads Cases for Structural Identification , 2013 .

[40]  Christopher J. Earls,et al.  Model-based structural health monitoring of naval ship hulls , 2011 .

[41]  Feng Chen,et al.  An algorithm based on two‐step Kalman filter for intelligent structural damage detection , 2015 .

[42]  C. Papadimitriou,et al.  Structural identification based on optimally weighted modal residuals , 2007 .

[43]  J. Beck,et al.  Updating Models and Their Uncertainties. I: Bayesian Statistical Framework , 1998 .

[44]  Wei Yu,et al.  Probabilistic Approach to Assessing Scoured Bridge Performance and Associated Uncertainties Based on Vibration Measurements , 2015 .

[45]  James-Alexandre Goulet Probabilistic Model Falsification for Infrastructure Diagnosis , 2012 .