Abstract
In seismic structural health monitoring (SHM), a structure is normally instrumented with limited sensors at certain locations to monitor its structural behavior during an earthquake event. To reconstruct the responses at non-instrumented locations, an effective regression method has to be used given the measured data from the sensed locations. In addition, determination of where to place the sensors directly affects the ability of the system to infer the behaviour of the entire structure. In this study, a practical framework is proposed for sensor placement and seismic response reconstruction at non-instrumented locations, which adopts a novel attention-based deep neural network (DNN). The developed DNN model is trained by using structural displacements at measured locations as input and the structural displacements at unmeasured locations of interest as output. The proposed framework is demonstrated by a case study of an instrumented long-span girder bridge in California. Different sensor placement schemes are investigated using the proposed DNN model. Real-time seismic assessment of the bridge is achieved by issuing each reconstructed output in 1.5 ms. The case study validates the effectiveness and accuracy of the proposed method to be used as part of a seismic SHM system.
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The datasets generated and analyzed during this study are available from the corresponding author upon request.
References
Alcazar-Pastrana O (2016) Operational modal analysis, model updating and response prediction bridge under the 2014 Napa Earthquake, Master of Applied Science (MSc) Thesis,. The University of British Columbia, Vancouver, Canada
Chang M, Pakzad SN (2014) Optimal sensor placement for modal identification of bridge systems considering number of sensing nodes. J Bridg Eng 19(6):04014019. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000594
Cho K, Van Merriënboer B, Gulcehre C, Bahdanau D, Bougares F, Schwenk H, Bengio Y (2014) Learning phrase representations using RNN encoder-decoder for statistical machine translation. In: conference on empirical methods in natural language processing (EMNLP)Doha, Qatar
Chow HM, Lam HF, Yin T, Au SK (2011) Optimal sensor configuration of a typical transmission tower for the purpose of structural model updating. Struct Control Health Monit 18(3):305–320. https://doi.org/10.1002/stc.372
Civera M, Pecorelli ML, Ceravolo R, Surace C, Zanotti Fragonara L (2021) A multi-objective genetic algorithm strategy for robust optimal sensor placement. Comput-Aid Civ Infrastruct Eng. https://doi.org/10.1111/mice.12646
CSI (2016) CSiBridge version 18. Computers and Structures Inc., Berkeley, California, USA
Dolce M, Nicoletti M, De Sortis A, Marchesini S, Spina D, Talanas F (2017) Osservatorio sismico delle strutture: the Italian structural seismic monitoring network. Bull Earthq Eng 15(2):621–641. https://doi.org/10.1007/s10518-015-9738-x
Fan G, Li J, Hao H, Xin Y (2021) Data driven structural dynamic response reconstruction using segment based generative adversarial networks. Eng Struct 234:111970. https://doi.org/10.1016/j.engstruct.2021.111970
FEMA (2009) Quantification of Building Seismic Performance Factors, FEMA P695. Federal Emergency Management Agency, Wasthington, D.C.
Flynn EB, Todd MD (2010) A Bayesian approach to optimal sensor placement for structural health monitoring with application to active sensing. Mech Syst Signal Process 24(4):891–903. https://doi.org/10.1016/j.ymssp.2009.09.003
Haddadi H, Shakal A, Stephens C, Savage W, Huang M, Leith W, Parrish J (2008) Center for engineering strong-motion data (CESMD). In: 14th world conference on earthquake engineering Beijing, China, pp. 12–17
He J, Guan X, Liu Y (2012) Structural response reconstruction based on empirical mode decomposition in time domain. Mech Syst Signal Process 28:348–366. https://doi.org/10.1016/j.ymssp.2011.12.010
Hu R, Xu Y, Lu X, Zhang C, Zhang Q, Ding J (2018) Integrated multi-type sensor placement and response reconstruction method for high-rise buildings under unknown seismic loading. Struct Design Tall Spec Build 27(6):e1453. https://doi.org/10.1002/tal.1453
Hu RP, Xu YL, Zhao X (2020) Optimal multi-type sensor placement for monitoring high-rise buildings under bidirectional long-period ground motions. Struct Control Health Monit 27(6):e2541. https://doi.org/10.1002/stc.2541
Kang GS, Mahin SA (2014) Preliminary Notes and Observations on the August 24, 2014, South Napa Earthquake, PEER Report No. 2014/12. Pacific Earthquake Engineering Research Center, University of California, Berkeley, USA
Kaya Y, Kocakaplan S, Şafak E (2015) System identification and model calibration of multi-story buildings through estimation of vibration time histories at non-instrumented floors. Bull Earthq Eng 13(11):3301–3323. https://doi.org/10.1007/s10518-015-9774-6
Kim HS (2020) Development of seismic response simulation model for building structures with semi-active control devices using recurrent neural network. Appl Sci 10(11):3915. https://doi.org/10.3390/app10113915
Kim T, Kwon O-S, Song J (2021) Seismic performance of a Long-Span Cable-stayed bridge under spatially varying bidirectional spectrum-compatible ground motions. J Struct Eng 147(4):04021015. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002952
Kim T, Kwon OS, Song J (2019) Response prediction of nonlinear hysteretic systems by deep neural networks. Neural Netw 111:1–10. https://doi.org/10.1016/j.neunet.2018.12.005
Kingma DP, Ba J (2015) Adam: a method for stochastic optimization. In: 3rd international conference on learning representations (ICLR)San Diego, CA, USA
Kuok SC, Yuen KV (2020) Multi-resolution broad learning for model updating using incomplete modal data. Struct Control Health Monit 27(8):e2571. https://doi.org/10.1002/stc.2571
Li T, Pan Y, Tong K, Ventura CE, de Silva CW (2021a) Attention-based sequence-to-sequence learning for online structural response forecasting under seismic excitation. IEEE Trans Syst Man Cybern Syst. https://doi.org/10.1109/TSMC.2020.3048696
Li T, Pan Y, Tong K, Ventura CE, de Silva CW (2021b) A multi-scale attention neural network for sensor location selection and nonlinear structural seismic response prediction. Comput Struct 248:106507. https://doi.org/10.1016/j.compstruc.2021.106507
Limongelli MP (2003) Optimal location of sensors for reconstruction of seismic responses through spline function interpolation. Earthq Eng Struct Dyn 32(7):1055–1074. https://doi.org/10.1002/eqe.262
Limongelli MP, Çelebi M (2019) Seismic structural health monitoring: from theory to successful applications. Springer, Berlin
Liu Y, Kuang JS, Yuen TY (2020) Modal-based ground motion selection procedure for nonlinear response time history analysis of high-rise buildings. Earthq Eng Struct Dyn 49(1):95–110. https://doi.org/10.1002/eqe.3232
Mendler A, Döhler M, Ventura CE (2021) A reliability-based approach to determine the minimum detectable damage for statistical damage detection. Mech Syst Signal Process 154:107561. https://doi.org/10.1016/j.ymssp.2020.107561
Muin S, Mosalam KM (2021) Human-machine collaboration framework for structural health monitoring and resiliency. Eng Struct 235:112084. https://doi.org/10.1016/j.engstruct.2021.112084
Naeim F, Hagie S, Alimoradi A, Miranda E (2006) Automated post-earthquake damage assessment of instrumented buildings. Advances in earthquake engineering for urban risk reduction, Springer, pp. 117–134
NBCC (2020) National Building Code of Canada, Canadian Commission on Building and Fire Codes. National Research Council of Canada, Ottawa, Ontario, Canada
Ni F, Zhang J, Noori MN (2020) Deep learning for data anomaly detection and data compression of a long-span suspension bridge. Comput-Aid Civ Infrastruct Eng 35(7):685–700. https://doi.org/10.1111/mice.12528
O’Reilly GJ (2021) Seismic intensity measures for risk assessment of bridges. Bull Earthq Eng. https://doi.org/10.1007/s10518-021-01114-z
Oh BK, Park Y, Park HS (2020) Seismic response prediction method for building structures using convolutional neural network. Struct Control Health Monit 27(5):e2519. https://doi.org/10.1002/stc.2519
Ostachowicz W, Soman R, Malinowski P (2019) Optimization of sensor placement for structural health monitoring: a review. Struct Health Monit 18(3):963–988
Pan Y, Ventura CE, Bebamzadeh A, Motamedi M (2021) Modeling of a shake-table tested retrofitted wood-frame building subjected to subduction ground motions. Earthq Eng Struct Dynam. https://doi.org/10.1002/eqe.3457
Pan Y, Ventura CE, Xiong H, Zhang FL (2020) Model updating and seismic response of a super tall building in Shanghai. Comput Struct 239:106285. https://doi.org/10.1016/j.compstruc.2020.106285
PEER (2013) Pacific Earthquake Engineering Research (PEER) NGA-West2 Database. <https://ngawest2.berkeley.edu/>. (Feburary, 2021)
Perez-Ramirez CA, Amezquita-Sanchez JP, Valtierra-Rodriguez M, Adeli H, Dominguez-Gonzalez A, Romero-Troncoso RJ (2019) Recurrent neural network model with Bayesian training and mutual information for response prediction of large buildings. Eng Struct 178:603–615. https://doi.org/10.1016/j.engstruct.2018.10.065
Pitilakis K, Karapetrou S, Bindi D, Manakou M, Petrovic B, Roumelioti Z, Boxberger T, Parolai S (2016) Structural monitoring and earthquake early warning systems for the AHEPA hospital in Thessaloniki. Bull Earthq Eng 14(9):2543–2563. https://doi.org/10.1007/s10518-016-9916-5
Soyluk K (2004) Comparison of random vibration methods for multi-support seismic excitation analysis of long-span bridges. Eng Struct 26(11):1573–1583. https://doi.org/10.1016/j.engstruct.2004.05.016
Tan Y, Zhang L (2020) Computational methodologies for optimal sensor placement in structural health monitoring: a review. Struct Health Monit 19(4):1287–1308. https://doi.org/10.1177/1475921719877579
Vaswani A, Shazeer N, Parmar N, Uszkoreit J, Jones L, Gomez AN, Kaiser L, Polosukhin I (2017) Attention is all you need. In: 31st conference on neural information processing systems (NIPS)Long Beach, CA, USA
Wu RT, Jahanshahi MR (2019) Deep convolutional neural network for structural dynamic response estimation and system identification. J Eng Mech 145(1):04018125. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001556
Xu YL, Zhang XH, Zhu S, Zhan S (2016) Multi-type sensor placement and response reconstruction for structural health monitoring of long-span suspension bridges. Sci Bull 61(4):313–329. https://doi.org/10.1007/s11434-016-1000-7
Yi TH, Li HN, Gu M (2012) Sensor placement for structural health monitoring of Canton Tower. Smart Struct Syst 10(4):313–329
Yu S, Zhang J (2020) Fast bridge deflection monitoring through an improved feature tracing algorithm. Comput-Aid Civ Infrastruct Eng 35(3):292–302. https://doi.org/10.1111/mice.12499
Yuen KV, Kuok SC (2015) Efficient Bayesian sensor placement algorithm for structural identification: a general approach for multi-type sensory systems. Earthq Eng Struct Dyn 44(5):757–774. https://doi.org/10.1002/eqe.2486
Zhang FL, Ni YC, Lam HF (2017a) Bayesian structural model updating using ambient vibration data collected by multiple setups. Struct Control Health Monit 24(12):e2023. https://doi.org/10.1002/stc.2023
Zhang FL, Yang YP, Xiong HB, Yang JH, Yu Z (2019a) Structural health monitoring of a 250-m super-tall building and operational modal analysis using the fast Bayesian FFT method. Struct Control Health Monit 26(8):e2383. https://doi.org/10.1002/stc.2383
Zhang R, Chen Z, Chen S, Zheng J, Büyüköztürk O, Sun H (2019b) Deep long short-term memory networks for nonlinear structural seismic response prediction. Comput Struct 220:55–68. https://doi.org/10.1016/j.compstruc.2019.05.006
Zhang W, Sun L, Sun S (2017b) Bridge-deflection estimation through inclinometer data considering structural damages. J Bridg Eng 22(2):04016117. https://doi.org/10.1061/(ASCE)BE.1943-5592.0000979
Zhang Y, Ayyub B, Huang H (2018) Enhancing civil infrastructure resilience with structural health monitoring. Resil Eng Urban Tunn. https://doi.org/10.1061/9780784415139.ch01
Funding
This work is supported in part by a Discovery Grant by the Natural Sciences and Engineering research Council of Canada awarded to the second author (Grant No. RGPIN-2017–04988).
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Pan, Y., Ventura, C.E. & Li, T. Sensor placement and seismic response reconstruction for structural health monitoring using a deep neural network. Bull Earthquake Eng 20, 4513–4532 (2022). https://doi.org/10.1007/s10518-021-01266-y
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DOI: https://doi.org/10.1007/s10518-021-01266-y