Automated structural dynamic modelling using model-free health monitoring results
Structural health monitoring (SHM) methods provide damage metrics and localisation, but not a means of answering subsequent questions concerning immediate or long-term damage mitigation, risk, or safety in re-occupancy. Models based on the SHM results would provide a means to test these issues, but typically require extensive human input, which is not available immediately after an event to enhance and optimise immediate decision-making. This work presents a simple, readily automated modelling approach to translate SHM results from the proven hysteresis loop analysis (HLA) method into foundation models for immediate use. Experimental data from a 3-storey structure tested at the E-Defense facility in Japan are used to assess model performance. The model’s ability to capture the essential dynamics is assessed by comparing peak dynamic displacement and cross correlation coefficient (Rcoeff). For all 6 events, 3 storeys, and 2 directions, median (5-95% Range) of peak displacement error was 0.82 (0.17, 4.09) mm, and average Rcoeff = 0.82, all of which were significantly improved if the worst event was excluded. Overall, accurate nonlinear, time-varying baseline models were created using data from SHM damage identification and localisation methods using relatively quite simple model structures. The method is readily automated via algorithm, and the models were suitable for initial investigation and analysis on safety, damage mitigation, and thus re-occupancy. Such models could take SHM from being a tool for damage identification and extend it into further decision-making, creating far greater utility for engineers and owners, which could further spur impetus for investment in monitoring.
Rafaa Abbas AH (2016). "Stability Analysis of the Seismic Response of High Rise Steel Buildings Including P-Delta Effects". Applied Research Journal, 2(8): 353-361.
Chase J, Leo Hwang K, Barroso L and Mander J (2005). "A Simple Lms‐Based Approach to the Structural Health Monitoring Benchmark Problem". Earthquake Engineering and Structural Dynamics, 34(6): 575-594. https://doi.org/10.1002/eqe.433
Chase JG, Spieth HA, Blome CF and Mander J (2005). "Lms‐Based Structural Health Monitoring of a Non‐Linear Rocking Structure". Earthquake Engineering and Structural Dynamics, 34(8): 909-930. https://doi.org/10.1002/eqe.460
Nayyerloo M, Chase J, MacRae G and Chen X (2011). "Lms-Based Approach to Structural Health Monitoring of Nonlinear Hysteretic Structures". Structural Health Monitoring, 10(4): 429-444. https://doi.org/10.1177/1475921710379519
Chase JG, Begoc V and Barroso LR (2005). "Efficient Structural Health Monitoring for a Benchmark Structure Using Adaptive Rls Filters". Computers and Structures, 83(8-9): 639-647. https://doi.org/10.1016/j.compstruc.2004.11.005
Huang H, Yang JN and Zhou L (2010). "Comparison of Various Structural Damage Tracking Techniques Based on Experimental Data". Smart Structures and Systems, 6(9): 1057-1077. https://doi.org/10.12989/sss.2010.6.9.1057
Lei Y, Chen F and Zhou H (2015). "An Algorithm Based on Two‐Step Kalman Filter for Intelligent Structural Damage Detection". Structural Control and Health Monitoring, 22(4): 694-706. https://doi.org/10.1002/stc.1712
Pan S, Xiao D, Xing S, Law S, Du P and Li Y (2016). "A General Extended Kalman Filter for Simultaneous Estimation of System and Unknown Inputs". Engineering Structures, 109: 85-98. https://doi.org/10.1016/j.engstruct.2015.11.014
Yang JN, Lin S, Huang H and Zhou L (2006). "An Adaptive Extended Kalman Filter for Structural Damage Identification". Structural Control and Health Monitoring, 13(4): 849-867. https://doi.org/10.1002/stc.84
Al-Hussein A and Haldar A (2015). "Structural Health Assessment at a Local Level Using Minimum Information". Engineering Structures, 88(1): 100-110. https://doi.org/10.1016/j.engstruct.2015.01.026
Wu M and Smyth A (2008). "Real-Time Parameter Estimation for Degrading and Pinching Hysteretic Models". International Journal of Non-Linear Mechanics, 43(9): 822-833. https://doi.org/10.1016/j.ijnonlinmec.2008.05.010
Wu M and Smyth AW (2007). "Application of the Unscented Kalman Filter for Real‐Time Nonlinear Structural System Identification". Structural Control and Health Monitoring, 14(7): 971-990.
Xie Z and Feng J (2012). "Real-Time Nonlinear Structural System Identification Via Iterated Unscented Kalman Filter". Mechanical Systems and Signal Processing, 28: 309-322. https://doi.org/10.1016/j.ymssp.2011.02.005
Yao R and Pakzad SN (2014). "Time and Frequency Domain Regression‐Based Stiffness Estimation and Damage Identification". Structural Control and Health Monitoring, 21(3): 356-380.
Zhou C, Chase JG, Rodgers GW and Xu C (2017). "Comparing Model-Based Adaptive Lms Filters and a Model-Free Hysteresis Loop Analysis Method for Structural Health Monitoring". Mechanical System and Signal Processing, 84(2017): 384-398. https://doi.org/10.1016/j.ymssp.2016.07.030
Juang J-N and Pappa RS (1985). "An Eigensystem Realization Algorithm for Modal Parameter Identification and Model Reduction". Journal of Guidance, Control, and Dynamics, 8(5): 620-627.
Bernal D and Gunes B (2000). "Observer/Kalman and Subspace Identification of the Ubc Benchmark Structural Model". Proceedings of the 14th ASCE Engineering Mechanics Conference, Texas, 21-24.
Lus H, Betti R, Yu J and De Angelis M (2003). "Investigation of a System Identification Methodology in the Context of the Asce Benchmark Problem". Journal of Engineering Mechanics, 130(1): 71-84.
Giraldo D, Yoshida O, Dyke SJ and Giacosa L (2004). "Control‐Oriented System Identification Using Era". Structural Control and Health Monitoring, 11(4): 311-326.
Dyke SJ, Caicedo JM and Johnson EA (2000). "Monitoring of a Benchmark Structure for Damage Identification". Proceedings of the Engineering Mechanics Speciality Conference, Austin, Texas, 21-24 May, 2000.
Bernal D and Levy A (2001). "Damage Localization in Plates Using Dlvs". Proceedings of the 19th International Modal Analysis Conference, 1205-11.
Bernal D (2002). "Load Vectors for Damage Localization". Journal of Engineering Mechanics, 128(1): 7-14. https://doi.org/10.1061/(Asce)0733-9399(2002)128:1(7)
Moaveni B, Conte JP and Hemez FM (2009). "Uncertainty and Sensitivity Analysis of Damage Identification Results Obtained Using Finite Element Model Updating". Computer‐Aided Civil and Infrastructure Engineering, 24(5): 320-334. https://doi.org/10.1111/j.1467-8667.2008.00589.x
García‐Palencia AJ and Santini‐Bell E (2013). "A Two‐Step Model Updating Algorithm for Parameter Identification of Linear Elastic Damped Structures". Computer‐Aided Civil and Infrastructure Engineering, 28(7): 509-521.
Lozano‐Galant JA, Nogal M, Castillo E and Turmo J (2013). "Application of Observability Techniques to Structural System Identification". Computer‐Aided Civil and Infrastructure Engineering, 28(6): 434-450. https://doi.org/10.1111/mice.12004
Jiang X and Adeli H (2005). "Dynamic Wavelet Neural Network for Nonlinear Identification of Highrise Buildings". Computer‐Aided Civil and Infrastructure Engineering, 20(5): 316-330. https://doi.org/10.1111/j.1467-8667.2005.00399.x
Adeli H and Jiang X (2006). "Dynamic Fuzzy Wavelet Neural Network Model for Structural System Identification". Journal of Structural Engineering, 132(1): 102-111. https://doi.org/10.1061/(Asce)0733-9445(2006)132:1(102)
Graf W, Freitag S, Sickert JU and Kaliske M (2012). "Structural Analysis with Fuzzy Data and Neural Network Based Material Description". Computer‐Aided Civil and Infrastructure Engineering, 27(9): 640-654. https://doi.org/10.1111/j.1467-8667.2012.00779.x
Jiang X and Adeli H (2007). "Pseudospectra, Music, and Dynamic Wavelet Neural Network for Damage Detection of Highrise Buildings". International Journal for Numerical Methods in Engineering, 71(5): 606-629. https://doi.org/10.1002/nme.1964
Arangio S and Bontempi F (2010). "Soft Computing Based Multilevel Strategy for Bridge Integrity Monitoring". Computer‐Aided Civil and Infrastructure Engineering, 25(5): 348-362. https://doi.org/10.1111/j.1467-8667.2009.00644.x
Osornio‐Rios RA, Amezquita‐Sanchez JP, Romero‐Troncoso RJ and Garcia‐Perez A (2012). "Music‐Ann Analysis for Locating Structural Damages in a Truss‐Type Structure by Means of Vibrations". Computer‐Aided Civil and Infrastructure Engineering, 27(9): 687-698.
Story BA and Fry GT (2014). "A Structural Impairment Detection System Using Competitive Arrays of Artificial Neural Networks". Computer‐Aided Civil and Infrastructure Engineering, 29(3): 180-190. https://doi.org/10.1111/mice.12040
Sirca G and Adeli H (2012). "System Identification in Structural Engineering". Scientia Iranica, 19(6): 1355-1364. https://doi.org/10.1016/j.scient.2012.09.002
Adeli H and Jiang X (2009). "Intelligent Infrastructure: Neural Networks, Wavelets, and Chaos Theory for Intelligent Transportation Systems and Smart Structures". CRC Press, Taylor & Francis, Boca Raton, Florida.
Xiang J and Liang M (2012). "Wavelet‐Based Detection of Beam Cracks Using Modal Shape and Frequency Measurements". Computer‐Aided Civil and Infrastructure Engineering, 27(6): 439-454.
Jiang X and Adeli H (2008). "Neuro‐Genetic Algorithm for Non‐Linear Active Control of Structures". International Journal for Numerical Methods in Engineering, 75(7): 770-786.
Fuggini C, Chatzi E and Zangani D (2013). "Combining Genetic Algorithms with a Meso‐Scale Approach for System Identification of a Smart Polymeric Textile". Computer‐Aided Civil and Infrastructure Engineering, 28(3): 227-245.
Yick J, Mukherjee B and Ghosal D (2008). "Wireless Sensor Network Survey". Computer Networks, 52(12): 2292-2330. https://doi.org/10.1016/j.comnet.2008.04.002
Hu X, Wang B and Ji H (2013). "A Wireless Sensor Network‐Based Structural Health Monitoring System for Highway Bridges". Computer‐Aided Civil and Infrastructure Engineering, 28(3): 193-209.
Xu C, Chase JG and Rodgers GW (2014). "Physical Parameter Identification of Nonlinear Base-Isolated Buildings Using Seismic Response Data". Computers and Structures, 145(1): 47-57. https://doi.org/10.1016/j.compstruc.2014.08.006
Zhou C, Chase JG, Rodgers GW, Tomlinson H and Xu C (2015). "Physical Parameter Identification of Structural Systems with Hysteretic Pinching". Computer‐Aided Civil and Infrastructure Engineering, 30(4): 247-262. https://doi.org/10.1111/mice.12108
Zhou C, Chase JG, Rodgers GW, Xu C and Tomlinson H (2015). "Overall Damage Identification of Flag-Shaped Hysteresis Systems under Seismic Excitation". Smart Structures and Systems, 16(1): 163-181. https://doi.org/10.12989/sss.2015.16.1.163
Zhou C, Chase JG and Rodgers GW (2017). "Efficient Hysteresis Loop Analysis-Based Damage Identification of a Reinforced Concrete Frame Structure over Multiple Events". Journal of Civil Structural Health Monitoring, 7: 541-556. https://doi.org/10.1007/s13349-017-0241-8
Zhou C, Chase JG, Rodgers GW and Iihoshi C (2017). "Damage Assessment by Stiffness Identification for a Full-Scale Three-Story Steel Moment Resisting Frame Building Subjected to a Sequence of Earthquake Excitations". Bulletin of Earthquake Engineering, 15: 5393–5412. https://doi.org/10.1007/s10518-017-0190-y
Chopra AK (1995). "Dynamics of Structures: Theory and Applications to Earthquake Engineering". Prentice Hall, New Jersey, 794 pp.
Xu C, Chase JG and Rodgers GW (2015). "Nonlinear Regression Based Health Monitoring of Hysteretic Structures under Seismic Excitation". Shock and Vibration. https://doi.org/10.1155/2015/193136
Chase JG, Preiser J-C, Dickson JL, Pironet A, Chiew YS, Pretty CG, Shaw GM, Benyo B, Moeller K and Safaei S (2018). "Next-Generation, Personalised, Model-Based Critical Care Medicine: A State-of-the Art Review of in Silico Virtual Patient Models, Methods, and Cohorts, and How to Validation Them". Biomedical Engineering Online, 17(1): 24. https://doi.org/10.1186/s12938-018-0455-y
Docherty PD, Chase JG, Lotz TF and Desaive T (2011). "A Graphical Method for Practical and Informative Identifiability Analyses of Physiological Models: A Case Study of Insulin Kinetics and Sensitivity". Biomedical Engineering Online, 10(1): 39. https://doi.org/10.1186/1475-925X-10-39
Kuang A, Sridhar A, Garven J, Gutschmidt S, Rodgers GW, Chase JG, Gavin HP, Nigbor RL and MacRae GA (2016). "Christchurch Women's Hospital: Performance Analysis of the Base-Isolation System During the Series of Canterbury Earthquakes 2011-2012". Journal of Performance of Constructed Facilities, 30(4). https://doi.org/10.1061/(Asce)Cf.1943-5509.0000846
Sridhar A, Kuang A, Garven J, Gutschmidt S, Chase JG, Gavin HP, Nigbor RL, Rodgers GW and MacRae GA (2014). "Christchurch Women's Hospital: Analysis of Measured Earthquake Data During the 2011-2012 Christchurch Earthquakes". Earthquake Spectra, 30(1): 383-400. https://doi.org/10.1193/021513eqs027m
Zhou C, Chase JG, Rodgers GW, Kuang A, Gutschmidt S and Xu C (2015). "Performance Evaluation of Cwh Base Isolated Building During Two Major Earthquakes in Christchurch". Bulletin of the New Zealand Society for Earthquake Engineering, 48(4): 264-273. https://doi.org/10.5459/bnzsee.48.4.264-273
Moghaddasi M, Chase J, Cubrinovski M, Pampanin S and Carr A (2012). "Sensitivity Analysis for Soil-Structure Interaction Phenomenon Using Stochastic Approach". Journal of Earthquake Engineering, 16(7): 1055-1075.
Moghaddasi M, Cubrinovski M, Chase J, Pampanin S and Carr A (2011). "Effects of Soil–Foundation–Structure Interaction on Seismic Structural Response Via Robust Monte Carlo Simulation". Engineering Structures, 33(4): 1338-1347.
Moghaddasi M, Cubrinovski M, Chase J, Pampanin S and Carr A (2012). "Stochastic Quantification of Soil-Shallow Foundation-Structure Interaction". Journal of Earthquake Engineering, 16(6): 820-850. https://doi.org/10.1080/13632469.2012.661122
Moghaddasi M, Cubrinovski M, Chase JG, Pampanin S and Carr A (2011). "Probabilistic Evaluation of Soil–Foundation–Structure Interaction Effects on Seismic Structural Response". Earthquake Engineering and Structural Dynamics, 40(2): 135-154.
Moghaddasi M, MacRae GA, Chase J, Cubrinovski M and Pampanin S (2015). "Seismic Design of Yielding Structures on Flexible Foundations". Earthquake Engineering and Structural Dynamics, 44(11): 1805-1821. https://doi.org/10.1002/eqe.2556