Parallel Substructure Identification of Linear and Nonlinear Structures Using Only Partial Output Measurements
Publication: Journal of Engineering Mechanics
Volume 148, Issue 7
Abstract
Substructure identification with the idea of divide and conquer has played a significant role in the identification of large-scale structures. Nevertheless, most existing substructure identification methods are only used for linear structures. In addition, it is often required that the information of substructural interface forces are available or the interface responses are measured, which limits the application of substructure identification approaches in practice. In this paper, an improved substructure identification algorithm is proposed to identify linear/nonlinear structures and unknown inputs using only partial measurements of structural responses. In the proposed algorithm, the identification of substructural states and parameters including the parameters of the nonlinear models, unknown external excitations, and the substructural interface forces can be achieved without the measurement of substructural interface responses based on the generalized extended Kalman filter with unknown inputs, which was recently proposed by the authors. The proposed algorithm can identify each substructure in parallel because no information needs to be transferred between the adjacent substructures. Some numerical identifications of linear and nonlinear structures were conducted to demonstrate the proposed substructure identification algorithm and verify the efficiency for the identification of the large-scale 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 in this study are available from the corresponding author upon reasonable request.
Acknowledgments
This work is supported by the National Natural Science Foundation of China through the Key Project Nos. 51838006 and 52178304 and the 111 Project of Hubei Province (Grant No. 2021EJD026).
References
Chaudhary, P. K., K. Anjneya, and K. Roy. 2021. “Fundamental mode shape–based structural damage quantification using spectral element method.” J. Eng. Mech. 147 (11): 04021091. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001970.
Fan, W., and P. Qiao. 2011. “Vibration-based damage identification methods: A review and comparative study.” Struct. Health Monit. 10 (1): 83–111. https://doi.org/10.1177/1475921710365419.
Hou, J., Ł. Jankowski, and J. Ou. 2011. “A substructure isolation method for local structural health monitoring.” Struct. Control Health Monit. 18 (6): 601–618. https://doi.org/10.1002/stc.389.
Hou, J., Ł. Jankowski, and J. Ou. 2012. “Experimental study of the substructure isolation method for local health monitoring.” Struct. Control Health Monit. 19 (4): 491–510. https://doi.org/10.1002/stc.443.
Hou, J., Ł. Jankowski, and J. Ou. 2015. “Frequency-domain substructure isolation for local damage identification.” Adv. Struct. Eng. 18 (1): 137–153. https://doi.org/10.1260/1369-4332.18.1.137.
Hou, J., C. Li, Ł. Jankowski, Y. Shi, L. Su, S. Yu, and T. Geng. 2021. “Damage identification of suspender cables by adding virtual supports with the substructure isolation method.” Struct. Control Health Monit. 28 (3): e2677. https://doi.org/10.1002/stc.2677.
Hou, R., and Y. Xia. 2021. “Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019.” J. Sound Vib. 491 (Jan): 115741. https://doi.org/10.1016/j.jsv.2020.115741.
Koh, C. G., L. M. See, and T. Balendra. 1991. “Estimation of structural parameters in time domain: A substructure approach.” Earthquake Eng. Struct. Dyn. 20 (8): 787–801. https://doi.org/10.1002/eqe.4290200806.
Koh, C. G., and K. Shankar. 2003. “Substructural identification method without interface measurement.” J. Eng. Mech. 129 (7): 769–776. https://doi.org/10.1061/(ASCE)0733-9399(2003)129:7(769).
Law, S. S., and D. Yong. 2011. “Substructure methods for structural condition assessment.” J. Sound Vib. 330 (15): 3606–3619. https://doi.org/10.1016/j.jsv.2011.03.003.
Lei, Y., M. He, C. Liu, and S.-Z. Lin. 2013a. “Identification of tall shear buildings under unknown seismic excitation with limited output measurements.” Adv. Struct. Eng. 16 (11): 1839–1849. https://doi.org/10.1260/1369-4332.16.11.1839.
Lei, Y., C. Liu, Y. Q. Jiang, and Y. K. Mao. 2013b. “Substructure based structural damage detection with limited input and output measurements.” Smart Struct. Syst. 12 (6): 619–640. https://doi.org/10.12989/sss.2013.12.6.619.
Lei, Y., J. Lu, and J. Huang. 2020a. “Synthesize identification and control for smart structures with time-varying parameters under unknown earthquake excitation.” Struct. Control Health Monit. 27 (4): e2512. https://doi.org/10.1002/stc.2512.
Lei, Y., J. Lu, J. Huang, and S. Chen. 2020b. “A general synthesis of identification and vibration control of building structures under unknown excitations.” Mech. Syst. Sig. Process. 143 (Sep): 106803. https://doi.org/10.1016/j.ymssp.2020.106803.
Lei, Y., Y. Wu, and T. Li. 2012. “Identification of non-linear structural parameters under limited input and output measurements.” Int. J. Non Linear Mech. 47 (10): 1141–1146. https://doi.org/10.1016/j.ijnonlinmec.2011.09.004.
Li, J., and H. Hao. 2014. “Substructure damage identification based on wavelet-domain response reconstruction.” Struct. Health Monit. 13 (4): 389–405. https://doi.org/10.1177/1475921714532991.
Li, J., and H. Hao. 2016. “Substructural interface force identification with limited vibration measurements.” J. Civ. Struct. Health Monit. 6 (3): 395–410. https://doi.org/10.1007/s13349-016-0157-8.
Rostami, P., M. Mahsuli, S. F. Ghahari, and E. Taciroglu. 2021. “Bayesian joint state-parameter-input estimation of flexible-base buildings from sparse measurements using Timoshenko beam models.” J. Struct. Eng. 147 (10): 04021151. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003095.
Wang, C., D. Ai, and W.-X. Ren. 2019. “A wavelet transform and substructure algorithm for tracking the abrupt stiffness degradation of shear structure.” Adv. Struct. Eng. 22 (5): 36–48. https://doi.org/10.1177/1369433218807690.
Wang, X. M., C. G. Koh, and J. Zhang. 2014. “Substructural identification of jack-up platform in time and frequency domains.” Appl. Ocean Res. 44 (Jan): 53–62. https://doi.org/10.1016/j.apor.2013.09.004.
Wang, Y. 2011. “Time-delayed dynamic output feedback H-infinity controller design for civil structures: A decentralized approach through homotopic transformation.” Struct. Control Health Monit. 18 (2): 121–139. https://doi.org/10.1002/stc.344.
Weng, S., H. Zhu, Y. Xia, J. Li, and W. Tian. 2020. “A review on dynamic substructuring methods for model updating and damage detection of large-scale structures.” Adv. Struct. Eng. 23 (3): 584–600. https://doi.org/10.1177/1369433219872429.
Weng, S., H.-P. Zhu, Y. Xia, and L. Mao. 2013. “Damage detection using the eigenparameter decomposition of substructural flexibility matrix.” Mech. Syst. Sig. Process. 34 (1–2): 19–38. https://doi.org/10.1016/j.ymssp.2012.08.001.
Zhang, D. Y., and E. A. Johnson. 2013a. “Substructure identification for shear structures I: Substructure identification method.” Struct. Control Health Monit. 20 (5): 804–820. https://doi.org/10.1002/stc.1497.
Zhang, D. Y., and E. A. Johnson. 2013b. “Substructure identification for shear structures II: Controlled substructure identification.” Struct. Control Health Monit. 20 (5): 821–834. https://doi.org/10.1002/stc.1498.
Zhu, D., X. Dong, and Y. Wang. 2016. “Substructure stiffness and mass updating through minimization of modal dynamic residuals.” J. Eng. Mech. 142 (5): 04016013. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001063.
Information & Authors
Information
Published In
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Nov 23, 2021
Accepted: Mar 4, 2022
Published online: May 6, 2022
Published in print: Jul 1, 2022
Discussion open until: Oct 6, 2022
Authors
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.