Technical Papers
Jun 3, 2021

Improved Automatic Operational Modal Analysis Method and Application to Large-Scale Bridges

Publication: Journal of Bridge Engineering
Volume 26, Issue 8

Abstract

How to identify modal parameters accurately and automatically is an important issue in structural health monitoring. In this paper, two aspects of this issue are investigated based on the algorithm of natural excitation technology (NExT) in conjunction with the Eigensystem realization algorithm (ERA): (1) First, the selection of the user-defined parameters (sampling points of the fast Fourier transform and the data length) is discussed. Based on this, an empirical equation for determining the dimensions of the Hankel matrix is presented; (2) Second, we propose an improved stabilization diagram to determine the physical modes automatically. The modal frequency, damping ratio, extended modal amplitude coherence (EMAC) and modal amplitude coherence (MAC) are applied as criteria. The reliability of the proposed method is verified by a numerical simulation and two applications to a large-scale bridge. It is shown that the proposed method can distinguish the physical modes from spurious modes effectively and the most reliable physical modes can be automatically identified.

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Acknowledgments

This paper was financially supported by the National Natural Science Foundation of China (Grant No. 51608136 and 51908149), Shenzhen Science Technology and Innovation Commission (SZSTI) Basic Research General Program (Grant No. JCYJ20190808154411663), and Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering (SZU) (Grant No. 2020B1212060074). The Z24 long-term monitoring project was designed and proposed by the KU Leuven Structural Mechanics Section. The authors would like to thank the project members for providing their valuable data. Much appreciation is given to Prof. Jian Li from the University of Kansas for the OMA idea.

References

Allemang, R. J. 1999. Vibrations: Experimental modal analysis. Cincinnati: Structural Dynamics Research Laboratory, Dept. of Mechanical, Industrial and Nuclear Engineering, Univ. of Cincinnati.
Andersen, P., R. Brincker, M. Goursat, and L. Mevel. 2007. “Automated modal parameter estimation for operational modal analysis of large systems.” In Proc., 2nd Int. Operational Modal Analysis Conf., Asturias, Spain: International Operational Modal Analysis Conference (IOMAC).
Bendat, J. S., and A. G. Piersol. 1980. Engineering applications of correlation and spectral analysis. New York: Wiley-Interscience.
Caicedo, J. M., S. J. Dyke, and E. A. Johnson. 2004. “Natural excitation technique and eigensystem realization algorithm for phase I of the IASC-ASCE benchmark problem: Simulated data.” J. Eng. Mech. 130 (1): 49–60. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:1(49).
Cancelli, A., S. Laflamme, and A. Alipour. 2019. “Vibration-based damage localization and quantification in a pretensioned concrete girder using stochastic subspace identification and particle swarm model updating.” Struct. Health Monit. 19 (2): 147592171882001.
Cardoso, R., A. Cury, and F. Barbosa. 2017. “A robust methodology for modal parameters estimation applied to SHM.” Mech. Syst. Sig. Process. 95: 24–41. https://doi.org/10.1016/j.ymssp.2017.03.021.
Cardoso, R., A. Cury, and F. Barbosa. 2018. “A clustering-based strategy for automated structural modal identification.” Struct. Health Monit. 17 (2): 201–217. https://doi.org/10.1177/1475921716689239.
Caughey, T. K. 1960. “Classical normal modes in damped linear dynamic systems.” J. Appl. Mech. 27 (2): 269–271. https://doi.org/10.1115/1.3643949.
Chauhan, S., and D. Tcherniak. 2008. “Clustering approaches to automatic modal parameter estimation.” In Proc., 27th Int. Operational Modal Analysis Conf., Asturias, Spain: International Operational Modal Analysis Conference.
Cheynet, E., J. B. Jakobsen, and J. Snæbjörnsson. 2016. “Buffeting response of a suspension bridge in complex terrain.” Eng. Struct. 128: 474–487. https://doi.org/10.1016/j.engstruct.2016.09.060.
Chrysoula, T., D. Emmanouil, C. Gabriele, and F. Ubertini. 2017. “The stretching method for vibration-based structural health monitoring of civil structures.” Comput.-Aided Civ. Infrastruct. Eng. 32 (4): 288–303. https://doi.org/10.1111/mice.12255.
Cooper, J. E., and J. R. Wright. 1992. “Spacecraft in-orbit identification using eigensystem realization methods.” J. Guidance, Control, Dyn. 15 (2): 352–359. https://doi.org/10.2514/3.20843.
He, X., B. Moaveni, J. P. Conte, A. Elgamal, and S. F. Masri. 2009. “System identification of Alfred Zampa Memorial Bridge using dynamic field test data.” J. Struct. Eng. 135 (1): 54–66. https://doi.org/10.1061/(ASCE)0733-9445(2009)135:1(54).
Hwang, J. S., D. K. Kwon, and A. Kareem. 2018. “Estimation of structural modal parameters under winds using a virtual dynamic shaker.” J. Eng. Mech. 144 (4): 04018007. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001423.
James III, G. H., T. G. Carrie, and J. P. Lauffer. 1993. The natural excitation technique (NExT) for modal parameter extraction from operating wind turbines, 260–277. NASA STI/Rec on Technical Rep. No. 93(4). Washington, DC: US Dept. of Energy.
Juang, J. N., and R. S. Pappa. 1985. “An eigensystem realization algorithm for modal parameter identification and model reduction.” J. Guidance, Control, Dyn. 8 (5): 620–627. https://doi.org/10.2514/3.20031.
Juang, J. N., and R. S. Pappa. 1986. “Effects of noise on modal parameters identified by the eigensystem realization algorithm.” J. Guidance, Control, Dyn. 9 (3): 294–303. https://doi.org/10.2514/3.20106.
Kim, R. E., F. Moreu, and B. F. Spencer. 2015. “System identification of an in-service railroad bridge using wireless smart sensors.” Smart Struct. Syst. 15 (3): 683–698. https://doi.org/10.12989/sss.2015.15.3.683.
Kramer, C., C. De Smet, and G. De Roeck. 1999. “Z24-Bridge damage detection tests.” In Proc., 17th Int. Operational Modal Analysis Conf., 1023–1029, Asturias, Spain: International Operational Modal Analysis Conference.
Lin, C. S., and D. Y. Chiang. 2012. “A modified random decrement technique for modal identification from nonstationary ambient response data only.” J. Mech. Sci. Technol. 26: 1687–1696. https://doi.org/10.1007/s12206-012-0414-7.
Magalhães, F., E. D. S. Caetano, and A. Cunha. 2007. “Challenges in the application of stochastic modal identification methods to a cable-stayed bridge.” J. Bridge Eng. 12 (6): 746–754. https://doi.org/10.1061/(ASCE)1084-0702(2007)12:6(746).
Mao, J. X., H. Wang, Y. G. Fu, and B. F. Spencer. 2019. “Automated modal identification using principal component and cluster analysis: Application to a long-span cable-stayed bridge.” Struct. Control Health Monit. 26 (10): e2430.
Mei, L., A. Mita, and J. Zhou. 2016. “An improved substructural damage detection approach of shear structure based on ARMAX model residual.” Struct. Control Health Monit. 23 (2): 218–236. https://doi.org/10.1002/stc.1766.
Mishra, S. S., K. Kumar, and P. Krishna. 2006. “Identification of 18 flutter derivatives by covariance driven stochastic subspace method.” Wind Struct. 9 (2): 159–178. https://doi.org/10.12989/was.2006.9.2.159.
Nayeri, R. D., F. Tasbihgoo, M. Wahbeh, J. P. Caffrey, S. F. Masri, J. P. Conte, and A. Elgamal. 2009. “Study of time-domain techniques for modal parameter identification of a long suspension bridge with dense sensor arrays.” J. Eng. Mech. 135 (7): 669–683. https://doi.org/10.1061/(ASCE)0733-9399(2009)135:7(669).
Nestorović, T., M. Trajkov, and M. Patalong. 2016. “Identification of modal parameters for complex structures by experimental modal analysis approach.” Adv. Mech. Eng. 8 (5): 168781401664911. https://doi.org/10.1177/1687814016649110.
Neu, E., F. Janser, A. A. Khatibi, and A. C. Orifici. 2017. “Fully automated operational modal analysis using multi-stage clustering.” Mech. Syst. Sig. Process. 84: 308–323. https://doi.org/10.1016/j.ymssp.2016.07.031.
Pappa, R. S., K. B. Elliott, and A. Schenk. 1993. “Consistent-mode indicator for the eigensystem realization algorithm.” J. Guidance, Control, Dyn. 16 (5): 852–858. https://doi.org/10.2514/3.21092.
Peeters, B. 2000. “System identification and damage detection in civil engineering.” Ph.D. thesis, Dept. of Civil Engineering, Katholike Universite.
Qu, C. X., T. H. Yi, H. N. Li, and H. B. Chen. 2018. “Closely spaced modes identification through modified frequency domain decomposition.” Measurement 128: 388–392. https://doi.org/10.1016/j.measurement.2018.07.006.
Qu, C.-X., T.-H. Yi, X.-M. Yang, and H.-N. Li. 2017. “Spurious mode distinguish by eigensystem realization algorithm with improved stabilization diagram.” Struct. Eng. Mech. 63 (6): 743–750.
Ren, W. X., T. Zhao, and I. E. Harik. 2004. “Experimental and analytical modal analysis of steel arch bridge.” J. Struct. Eng. 130 (7): 1022–1031. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:7(1022).
Rofooei, F. R., A. Mobarake, and G. Ahmadi. 2001. “Generation of artificial earthquake records with a nonstationary Kanai-Tajimi model.” Eng. Struct. 23 (7): 827–837. https://doi.org/10.1016/S0141-0296(00)00093-6.
Teng, J., D.- H. Tang, X. Zhang, W.-H. Hu, S. Said, and R. Rohrmann. 2019. “Automated modal analysis for tracking structural change during construction and operation phases.” Sensors 19: 927. https://doi.org/10.3390/s19040927.
Yaghoubi, V., M. K. Vakilzadeh, and T. J. S. Abrahamsson. 2018. “Automated modal parameter estimation using correlation analysis and bootstrap sampling.” Mech. Syst. Sig. Process. 100: 289–310. https://doi.org/10.1016/j.ymssp.2017.07.004.
Yang, X.-M., T.-H. Yi, C.-X. Qu, H.-N. Li, and H. Liu. 2019. “Automated eigensystem realization algorithm for operational modal identification of bridge structures.” J. Aerosp. Eng. 32 (2): 04018148. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000984.
Ye, X., Q. S. Yan, W. F. Wang, and X. L. Yu. 2012. “Modal identification of Canton Tower under uncertain environmental conditions.” Smart Struct. Syst. 10 (4–5): 353–373. https://doi.org/10.12989/sss.2012.10.4_5.353.
Zhang, G., J. Ma, Z. Chen, and R. Wang. 2014. “Automated eigensystem realisation algorithm for operational modal analysis.” J. Sound Vib. 333 (15): 3550–3563. https://doi.org/10.1016/j.jsv.2014.03.024.
Zhang, Y., Z. Zhang, X. Xu, and H. Hua. 2005. “Modal parameter identification using response data only.” J. Sound Vib. 282 (1–2): 367–380. https://doi.org/10.1016/j.jsv.2004.02.012.

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Go to Journal of Bridge Engineering
Journal of Bridge Engineering
Volume 26Issue 8August 2021

History

Received: Jul 16, 2020
Accepted: Apr 12, 2021
Published online: Jun 3, 2021
Published in print: Aug 1, 2021
Discussion open until: Nov 3, 2021

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Chudong Pan [email protected]
Assistant Professor, School of Civil Engineering, Guangzhou Univ., 230 Wai Huan Xi Rd., Guangzhou Higher Education Mega Center, Guangzhou, 510006, P.R. China. Email: [email protected]
Associate Professor, School of Civil Engineering, Guangzhou Univ., 230 Wai Huan Xi Rd., Guangzhou Higher Education Mega Center, Guangzhou, 510006, P.R. China (corresponding author). ORCID: https://orcid.org/0000-0001-7946-1245. Email: [email protected]
Associate Professor, Guangdong Provincial Key Laboratory of Durability for Marine Civil Engineering, Shenzhen Univ., 3688 Nanhai Avenue, Nanshan District, Shenzhen 51806, P.R. China. Email: [email protected]

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