Technical Papers
Apr 8, 2022

Modal Identification of Civil Structures via Stochastic Subspace Algorithm with Monte Carlo–Based Stabilization Diagram

Publication: Journal of Structural Engineering
Volume 148, Issue 6

Abstract

The stochastic subspace algorithm is one of the most widely used structural identification techniques, which is generally involved with the stabilization diagram for estimating modal parameters. However, the conventional stabilization diagram has an inherent problem: some spurious modes may be identified as stable results, resulting in adverse effects on structural modal identification. To address this critical issue, this paper proposes an improved stochastic subspace algorithm involving a Monte Carlo–based stabilization diagram. Through a numerical simulation study, the good performance of the Monte Carlo–based stabilization diagram for discriminating the poles denoting the physical modes from those representing spurious modes is demonstrated. The numerical simulation results show that the proposed method can estimate structural modal parameters with high accuracy and robustness. Moreover, the proposed method is applied to field measurements on a 600-m-high skyscraper during Super Typhoon Mangkhut, and the results verify the applicability and effectiveness of the proposed method to field measurements. This paper aims to provide an effective tool for accurate estimation of modal parameters of civil structures.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

All data, models, and code generated or used during the study appear in the published paper.

Acknowledgments

The work described in this paper was fully supported by a grant from the Research Grants Council of Hong Kong Special Administrative Region, China (Project No. CityU 11207519), a grant from the National Natural Science Foundation of China (Project No. 51778554), and a grant from City University of Hong Kong (Project No. 7005770).

References

Brincker, R., L. Zhang, and P. Andersen. 2001. “Modal identification of output-only systems using frequency domain decomposition.” Smart Mater. Struct. 10 (3): 441. https://doi.org/10.1088/0964-1726/10/3/303.
Cole, H. A. 1973. “On-line failure detection and damping measurement of aerospace structures by random decrement signatures.” Accessed May 8, 2020. http://hdl.handle.net/2060/19730010202.
Fan, G., J. Li, and H. Hao. 2019. “Improved automated operational modal identification of structures based on clustering.” Struct. Control Health Monit. 26 (12): e2450. https://doi.org/10.1002/stc.2450.
Faravelli, L., F. Ubertini, and C. Fuggini. 2011. “System identification of a super high-rise building via a stochastic subspace approach.” Smart Struct. Syst. 7 (2): 133–152. https://doi.org/10.12989/sss.2011.7.2.133.
He, Y. C., Z. Li, J. Y. Fu, J. R. Wu, and C. T. Ng. 2021. “Enhancing the performance of stochastic subspace identification method via energy-oriented categorization of modal components.” Eng. Struct. 233 (Apr): 111917. https://doi.org/10.1016/j.engstruct.2021.111917.
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.
Katafygiotis, L. S., and K. V. Yuen. 2001. “Bayesian spectral density approach for modal updating using ambient data.” Earthquake Eng. Struct. Dyn. 30 (8): 1103–1123. https://doi.org/10.1002/eqe.53.
Li, Q. S., Y. H. He, K. Zhou, X. L. Han, Y. C. He, and Z. R. Shu. 2018. “Structural health monitoring for a 600 m high skyscraper.” Struct. Des. Tall Special Build. 27 (12): e1490. https://doi.org/10.1002/tal.1490.
Li, Q. S., K. Zhou, and X. Li. 2020. “Damping estimation of high-rise buildings considering structural modal directions.” Earthquake Eng. Struct. Dyn. 49 (6): 543–566. https://doi.org/10.1002/eqe.3253.
Li, Z., J. Y. Fu, Q. Liang, H. Mao, and Y. C. He. 2019. “Modal identification of civil structures via covariance-driven stochastic subspace method.” Math. Biosci. Eng. 16 (5): 5709–5728. https://doi.org/10.3934/mbe.2019285.
Likas, A., N. Vlassis, and J. J. Verbeek. 2003. “The global K-means clustering algorithm.” Pattern Recognit. 36 (2): 451–461. https://doi.org/10.1016/S0031-3203(02)00060-2.
Liu, Y. C., C. H. Loh, and Y. Q. Ni. 2013. “Stochastic subspace identification for output-only modal analysis: Application to super high-rise tower under abnormal loading condition.” Earthquake Eng. Struct. Dyn. 42 (4): 477–498. https://doi.org/10.1002/eqe.2223.
Lletı, R., M. C. Ortiz, L. A. Sarabia, and M. S. Sánchez. 2004. “Selecting variables for k-means cluster analysis by using a genetic algorithm that optimises the silhouettes.” Anal. Chim. Acta 515 (1): 87–100.
Magalhaes, F., A. Cunha, and E. Caetano. 2009. “Online automatic identification of the modal parameters of a long span arch bridge.” Mech. Syst. Sig. Process. 23 (2): 316–329.
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.
Peeters, B., and G. De Roeck. 2001. “Stochastic system identification for operational modal analysis: A review.” J. Dyn. Syst. Meas. Control 123 (4): 659–667. https://doi.org/10.1115/1.1410370.
Qin, S., J. Kang, and Q. Wang. 2016. “Operational modal analysis based on subspace algorithm with an improved stabilization diagram method.” Shock Vib. 2016 (Jan): 7598965.
Reynders, E., A. Teughels, and G. De Roeck. 2010. “Finite element model updating and structural damage identification using OMAX data.” Mech. Syst. Sig. Process. 24 (5): 1306–1323. https://doi.org/10.1016/j.ymssp.2010.03.014.
Van Overschee, P., and B. De Moor. 1993. “Subspace algorithms for the stochastic identification problem.” Automatica 29 (3): 649–660. https://doi.org/10.1016/0005-1098(93)90061-W.
Van Overschee, P., and B. De Moor. 2012. Subspace identification for linear systems: Theory—Implementation—Applications. Berlin: Springer Science & Business Media.
Wahab, M. A., and G. De Roeck. 1999. “Damage detection in bridges using modal curvatures: Application to a real damage scenario.” J. Sound Vib. 226 (2): 217–235. https://doi.org/10.1006/jsvi.1999.2295.
Wu, W. H., S. W. Wang, C. C. Chen, and G. Lai. 2016. “Application of stochastic subspace identification for stay cables with an alternative stabilization diagram and hierarchical sifting process.” Struct. Control Health Monit. 23 (9): 1194–1213. https://doi.org/10.1002/stc.1836.
Wu, W. H., S. W. Wang, C. C. Chen, and G. Lai. 2019. “Modal parameter identification for closely spaced modes of civil structures based on an upgraded stochastic subspace methodology.” Struct. Infrastruct. Eng. 15 (3): 296–313. https://doi.org/10.1080/15732479.2018.1547770.
Xia, Y., H. Hao, J. M. Brownjohn, and P. Q. Xia. 2002. “Damage identification of structures with uncertain frequency and mode shape data.” Earthquake Eng. Struct. Dyn. 31 (5): 1053–1066. https://doi.org/10.1002/eqe.137.
Yang, J. N., Y. Lei, S. Pan, and N. Huang. 2003. “System identification of linear structures based on Hilbert–Huang spectral analysis. Part 1: Normal modes.” Earthquake Eng. Struct. Dyn. 32 (9): 1443–1467. https://doi.org/10.1002/eqe.287.
Zhang, G., B. Tang, and G. Tang. 2012. “An improved stochastic subspace identification for operational modal analysis.” Measurement 45 (5): 1246–1256. https://doi.org/10.1016/j.measurement.2012.01.012.
Zhou, K., and Q. S. Li. 2020. “Effects of time-variant modal frequencies of high-rise buildings on damping estimation.” Earthquake Eng. Struct. Dyn. 50 (2): 394–414. https://doi.org/10.1002/eqe.3336.
Zhou, K., Q. S. Li, and X. Li. 2020. “Dynamic behavior of supertall building with active control system during Super Typhoon Mangkhut.” J. Struct. Eng. 146 (5): 04020077. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002626.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 148Issue 6June 2022

History

Received: Jun 8, 2021
Accepted: Feb 1, 2022
Published online: Apr 8, 2022
Published in print: Jun 1, 2022
Discussion open until: Sep 8, 2022

Permissions

Request permissions for this article.

Authors

Affiliations

Postdoctoral Fellow, Dept. of Architecture and Civil Engineering, City Univ. of Hong Kong, Kowloon, Hong Kong. Email: [email protected]
Chair Professor, Dept. of Architecture and Civil Engineering, City Univ. of Hong Kong, Kowloon, Hong Kong; Director, Architecture and Civil Engineering Research Center, City Univ. of Hong Kong Shenzhen Research Institute, Shenzhen 518057, China (corresponding author). ORCID: https://orcid.org/0000-0002-4822-2863. Email: [email protected]
Xu-Liang Han [email protected]
Ph.D. Candidate, Dept. of Architecture and Civil Engineering, City Univ. of Hong Kong, Kowloon, Hong Kong. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

  • Investigating Causes of Disputes Resulting in Litigation in Airport Development Projects in the United States Using Graph-Based Techniques, Journal of Management in Engineering, 10.1061/JMENEA.MEENG-5903, 40, 3, (2024).
  • Bayesian Operational Modal Analysis with Interactive Optimization for Model Updating of Large-Size UHV Transmission Towers, Journal of Structural Engineering, 10.1061/JSENDH.STENG-12503, 149, 12, (2023).
  • Modal Identification of 38 Supertall Buildings and Establishment of Predictive Models, Journal of Structural Engineering, 10.1061/JSENDH.STENG-11907, 149, 4, (2023).

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share