Technical Papers
Sep 15, 2020

Output-Only Modal Parameter Identification of Systems Subjected to Various Types of Excitation

Publication: Journal of Engineering Mechanics
Volume 146, Issue 11

Abstract

This study presents a novel modal parameter identification method enabling approximation of the mode shapes of linear systems using white-noise or earthquake inputs. The majority of well-established existing system identification methods perform successfully when the system is excited by broadband white-noise excitation. However, they encounter serious limitations when analyzing the vibrations triggered by nonstationary earthquake inputs. Thus, the presented technique extends the applicability of system identification and modal-based structural health monitoring methods. The method operates in modal space and is based on mode superposition in short windows. The mode shapes are identified using an optimization algorithm minimizing the weighted sum of cross-correlation of frequency response spectra. The technique is validated analytically using simulation results of a simple three-dimensional (3D) structure representing a simplified model of a real bridge pier structure, which enables exact comparison with known properties. The results show the method provides relatively good identification accuracy of modal parameters of systems excited by white-noise and earthquake inputs. The identified modal frequencies showed <1% error, where the mode-shape coefficients were identified within 5% error. The method performs robustly even for high levels of simulated sensor noise and can be readily applied to more complex multiple degree of freedom (MDOF) systems.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request. The following items can be provided: input earthquake excitation data set, numerical simulation, and system identification codes written in MATLAB.

Acknowledgments

The scholarship support of the New Zealand Earthquake Commission (EQC) for the first author is greatly acknowledged.

References

Allemang, R. J. 2003. “The modal assurance criterion—Twenty years of use and abuse.” Sound Vibr. 1 (Aug): 14–21.
Amezquita-Sanchez, J. P., and H. Adeli. 2015. “Synchrosqueezed wavelet transform-fractality model for locating, detecting, and quantifying damage in smart highrise building structures.” Smart Mater. Struct. 24 (6): 065034. https://doi.org/10.1088/0964-1726/24/6/065034.
Astroza, R., H. Ebrahimian, J. Conte, J. Restrepo, and T. Hutchinson. 2013. “Statistical analysis of the identified modal properties of a 5-story RC seismically damaged building specimen.” In Proc., 11th Int. Conf. on Structural Safety and Reliability, 4593–4600. London: Taylor & Francis.
Astroza, R., H. Ebrahimian, J. P. Conte, J. I. Restrepo, and T. C. Hutchinson. 2016a. “Influence of the construction process and nonstructural components on the modal properties of a five-story building.” Earthquake Eng. Struct. Dyn. 45 (7): 1063–1084. https://doi.org/10.1002/eqe.2695.
Astroza, R., H. Ebrahimian, J. P. Conte, J. I. Restrepo, and T. C. Hutchinson. 2016b. “System identification of a full-scale five-story reinforced concrete building tested on the NEES-UCSD shake table.” Struct. Control Health Monit. 23 (3): 535–559. https://doi.org/10.1002/stc.1778.
Bodeux, J. B., and J. C. Golinval. 2001. “Application of ARMAV models to the identification and damage detection of mechanical and civil engineering structures.” Smart Mater. Struct. 10 (3): 479–489. https://doi.org/10.1088/0964-1726/10/3/309.
Brincker, R., C. Ventura, and P. Andersen. 2001. “Damping estimation by frequency domain decomposition.” In Proc., 19th Int. Modal Analysis Conf., 698–703. Bethel, CT: Society for Experimental Mechanics.
Brownjohn, J. M., F. Magalhaes, E. Caetano, and A. Cunha. 2010. “Ambient vibration re-testing and operational modal analysis of the Humber Bridge.” Eng. Struct. 32 (8): 2003–2018. https://doi.org/10.1016/j.engstruct.2010.02.034.
Caicedo, J. M. 2011. “Practical guidelines for the natural excitation technique (NExT) and the eigensystem realization algorithm (ERA) for modal identification using ambient vibration.” Exp. Tech. 35 (4): 52–58. https://doi.org/10.1111/j.1747-1567.2010.00643.x.
Carden, E., and J. M. Brownjohn. 2008. “ARMA modelled time-series classification for structural health monitoring of civil infrastructure.” Mech. Syst. Sig. Process. 22 (2): 295–314. https://doi.org/10.1016/j.ymssp.2007.07.003.
CEN (European Committee for Standardization). 2004. Design of structures for earthquake resistance. Eurocode 8. Brussels, Belgium: CEN.
Chopra, A. K. 1995. Dynamics of structures: Theory and applications to earthquake engineering. Upper Saddle River, NJ: Prentice Hall.
da Silva, S., M. Dias Júnior, V. Lopes Junior, and M. J. Brennan. 2008. “Structural damage detection by fuzzy clustering.” Mech. Syst. Sig. Process. 22 (7): 1636–1649. https://doi.org/10.1016/j.ymssp.2008.01.004.
Doebling, S., C. Farrar, M. Prime, and D. Shevitz. 1996. Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review. Los Alamos, NM: Los Alamos National Laboratory.
Ewins, D. J. 2000. Modal testing: Theory, practice, and application. Baldock, UK: Research Studies Press.
Farrar, C. R., S. W. Doebling, P. J. Cornwell, and E. G. Straser. 1996. Variability of modal parameters measured on the Alamosa Canyon Bridge. Los Alamos, NM: Los Alamos National Laboratory.
Fraraccio, G., A. Brügger, and R. Betti. 2008. “Identification and damage detection in structures subjected to base excitation.” Exp. Mech. 48 (4): 521–528. https://doi.org/10.1007/s11340-008-9124-6.
Hong, A. L., R. Betti, and C.-C. Lin. 2009. “Identification of dynamic models of a building structure using multiple earthquake records.” Struct. Control Health Monit. 16 (2): 178–199. https://doi.org/10.1002/stc.289.
Jacobsen, N.-J., P. Andersen, and R. Brincker. 2008. “Applications of frequency domain curve-fitting in the EFDD technique.” In Proc., IMAC XXVI Conf. Bethel, CT: Society for Experimental Mechanics.
Juang, J.-N., and R. S. Pappa. 1985. “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., M. Phan, L. G. Horta, and R. W. Longman. 1993. “Identification of observer/Kalman filter Markov parameters: Theory and experiments.” J. Guidance Control Dyn. 16 (2): 320–329. https://doi.org/10.2514/3.21006.
Luş, H., R. Betti, and R. W. Longman. 2002. “Obtaining refined first-order predictive models of linear structural systems.” Earthquake Eng. Struct. Dyn. 31 (7): 1413–1440. https://doi.org/10.1002/eqe.169.
Luş, H., R. Betti, J. Yu, and M. De Angelis. 2004. “Investigation of a system identification methodology in the context of the ASCE benchmark problem.” J. Eng. Mech. 130 (Jan): 71–84. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:1(71).
Moaveni, B., X. He, J. Conte, and R. de Callafon. 2008. “Damage identification of a composite beam using finite element model updating.” Comput.-Aided Civ. Infrastruct. Eng. 23 (5): 339–359. https://doi.org/10.1111/j.1467-8667.2008.00542.x.
Moaveni, B., X. He, J. P. Conte, and J. I. Restrepo. 2010. “Damage identification study of a seven-story full-scale building slice tested on the UCSD-NEES shake table.” Struct. Saf. 32 (5): 347–356. https://doi.org/10.1016/j.strusafe.2010.03.006.
Moaveni, B., A. Stavridis, G. Lombaert, and J. P. Conte. 2013. “Finite-element model updating for assessment of progressive damage in a 3-story infilled RC frame.” J. Struct. Eng. 139 (10): 1665–1674. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000586.
Moncayo, H., J. Marulanda, and P. Thomson. 2010. “Identification and monitoring of modal parameters in aircraft structures using the natural excitation technique (NExT) combined with the eigensystem realization algorithm (ERA).” J. Aerosp. Eng. 23 (2): 99–104. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000011.
Nagarajaiah, S., and B. Basu. 2009. “Output only modal identification and structural damage detection using time frequency & wavelet techniques.” Earthquake Eng. Eng. Vibr. 8 (4): 583–605. https://doi.org/10.1007/s11803-009-9120-6.
Pappa, R. S., G. H. James, and D. C. Zimmerman. 1998. “Autonomous modal identification of the space shuttle tail rudder.” J. Spacecraft Rockets 35 (2): 163–169. https://doi.org/10.2514/2.3324.
Ren, W.-X., and G. De Roeck. 2002. “Structural damage identification using modal data. II: Test verification.” J. Struct. Eng. 128 (1): 96–104. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:1(96).
Saaed, T. E., and G. Nikolakopoulos. 2016. “Identification of building damage using ARMAX model: A parametric study.” Diagnostyka 17.
Schoettler, M. J., J. Restrepo, G. Guerrini, D. E. Duck, and F. Carrea. 2012. A full-scale, single-column bridge bent tested by shake-table excitation. PEER Rep. No. 2015/02. Reno, NV: Univ. of Nevada.
Singhal, A., and A. S. Kiremidjian. 1996. “Method for probabilistic evaluation of seismic structural damage.” J. Struct. Eng. 122 (12): 1459–1467. https://doi.org/10.1061/(ASCE)0733-9445(1996)122:12(1459).
Sohn, H., and C. R. Farrar. 2001. “Damage diagnosis using time series analysis of vibration signals.” Eng. Anal. 10 (3): 446–451. https://doi.org/10.1088/0964-1726/10/3/304.
Vicario, F., M. Q. Phan, R. Betti, and R. W. Longman. 2015. “Output-only observer/Kalman filter identification (O3KID).” Struct. Control Health Monit. 22 (5): 847–872. https://doi.org/10.1002/stc.1719.
Zhou, C., J. G. Chase, G. W. Rodgers, H. Tomlinson, and C. Xu. 2015. “Physical parameter identification of structural systems with hysteretic pinching.” Comput.-Aided Civ. Infrastruct. Eng. 30 (4): 247–262. https://doi.org/10.1111/mice.12108.
Zhou, C., J. G. Chase, G. W. Rodgers, and C. Xu. 2017. “Comparing model-based adaptive LMS filters and a model-free hysteresis loop analysis method for structural health monitoring.” Mech. Syst. Sig. Process. 84 (Feb): 384–398. https://doi.org/10.1016/j.ymssp.2016.07.030.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 146Issue 11November 2020

History

Received: May 19, 2018
Accepted: Jun 4, 2020
Published online: Sep 15, 2020
Published in print: Nov 1, 2020
Discussion open until: Feb 15, 2021

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Authors

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Dept. of Mechanical Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand (corresponding author). ORCID: https://orcid.org/0000-0003-0034-3719. Email: [email protected]
Geoffrey W. Rodgers [email protected]
Professor, Dept. of Mechanical Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand. Email: [email protected]
J. Geoffrey Chase [email protected]
Distinguished Professor, Dept. of Mechanical Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand. Email: [email protected]

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