DOI QR코드

DOI QR Code

Simultaneous Identification of structures and unknown seismic excitations for chain-like systems with unknown mass using partial absolute responses

  • Qiu, Hao (Department of Civil Engineering, Xiamen University) ;
  • Huang, Jinshan (Department of Civil Engineering, Xiamen University) ;
  • Zheng, Zhupeng (Department of Civil Engineering, Xiamen University)
  • Received : 2020.11.22
  • Accepted : 2021.07.15
  • Published : 2021.09.25

Abstract

It is necessary to identify structures with unknown mass and unknown seismic excitations simultaneously, but very limited methods have been proposed. In this paper, an algorithm is proposed to identify structural element mass, stiffness, and seismic excitations using only partial absolute structural responses of chain-like systems. In the first stage, the identification of structural element stiffness-mass coupled coefficients and unknown seismic excitations is conducted based on the generalized extended Kalman filter with unknown input (GEKF-UI) developed by the authors. In the second stage, these coupled coefficients are decoupled by cluster analysis and the least squares estimation (LSE) to obtain structural element stiffness and mass changes. The effectiveness of the proposed algorithm is numerically investigated using a four-story frame structure under three scenarios of changed conditions. Moreover, experimental validation by the shaking table test of a shear structure under two scenarios is also performed to identify structures and seismic excitations simultaneously.

Keywords

Acknowledgement

This research is supported by the National Natural Science Foundation of China (NSFC) through the Grant No. U171126 and Fujian Natural Science Foundation via the Grant No. 2019J01008.

References

  1. Astroza, R., Ebrahimian, H., Li, Y. and Conte, J.P. (2017), "Bayesian nonlinear structural FE model and seismic input identification for damage assessment of civil structures", Mech. Syst. Signal Pr., 93, 661-687. https://doi.org/10.1016/j.ymssp.2017.01.040.
  2. Azam, S.E., Chatzi, E. and Papadimitriou, C. (2015), "A dual Kalman filter approach for state estimation via output-only acceleration measurements", Mech. Syst. Signal Pr., 60-61, 866-886. https://doi.org/10.1016/j.ymssp.2015.02.001.
  3. Chen, J. and Li, J. (2004), "Simultaneous identification of structural parameters and input time history from output-only measurements", Comput. Mech., 33(5), 365-374. https://doi.org/10.1007/s00466-003-0538-9.
  4. Ding, Y., Law, S.S., Wu, B., Xu, G.S., Lin, Q., Jiang, H.B. and Miao, Q.S. (2013), "Average acceleration discrete algorithm for force identification in the state space", Eng. Struct., 56, 1880-1892. https://doi.org/10.1016/j.engstruct.2013.08.004.
  5. Ganjavi, B., Bararnia, M. and Hajirasouliha, I. (2018), "Seismic response modification factors for stiffness degrading soil-structure systems", Struct. Eng. Mech., 68(2), 159-170. https://doi.org/10.12989/sem.2018.68.2.159.
  6. He, J., Zhang, X.X. and Xu, B. (2019), "Identification of structural parameters and unknown inputs based on revised observation equation: approach and validation", Int. J. Struct. Stab. Dyn., 19(12), 219-231. https://doi.org/10.1142/S0219455419501566.
  7. Huang, J.S., Rao, Y.P., Qiu, H. and Lei, Y. (2020), "Generalized algorithms for the identification of seismic ground excitations to building structures based on generalized Kalman filtering under unknown input", Adv. Struct. Eng., 5, 1-12. https://doi.org/10.1177/1369433220906225.
  8. Huang, X.H., Dyke, S., Sun, Z.X. and Xu, Z.D. (2017), "Simultaneous identification of stiffness, mass, and damping using an on-line model updating approach", Struct. Control Hlth., 24, 1892. https://doi.org/10.1002/stc.1892.
  9. Kitanidis, P.K. (1987), "Unbiased minimum-variance linear state estimation", Automatica, 23, 775-778. https://doi.org/10.1016/0005-1098(87)90037-9.
  10. Lei, Y., Liu, C. and Liu, L.J. (2014), "Identification of multistory shear buildings under unknown seismic excitation using partial output measurements: numerical and experimental studies", Struct. Control Hlth., 21(5), 774-783. https://doi.org/10.1002/stc.1600.
  11. Lei, Y., Lu, J.B., Huang, J.S. and Chen, S.Y. (2020a), "A general synthesis of identification and vibration control of building structures under unknown excitations", Mech. Syst. Signal Pr., 143, 106803. https://doi.org/10.1016/j.ymssp.2020.106803.
  12. Lei, Y., Qiu, H. and Zhang F.B. (2020b), "Identification of structural element mass and stiffness changes using partial acceleration responses of chain-like systems under ambient excitations", J. Sound Vib., 488, 115678. https://doi.org/10.1016/j.jsv.2020.115678.
  13. Li, X.W., Zhao, H.T., Chen, Z. and Chen, J.A. (2020), "Identification of distributed dynamic excitation based on taylor polynomial iteration and cubic Catmull-Rom spline interpolation", Inverse Prob. Sci. Eng., 28(2), 220-237. https://doi.org/10.1080/17415977.2019.1594804.
  14. Li, Y., Luo, Y.Z., Wan, H.P., Yun, C.B. and Shen, Y.B. (2019), "Identification of earthquake ground motion based on limited acceleration measurements of structure using Kalman filtering technique", Struct. Control Hlth., 27(1), e2464. https://doi.org/10.1002/stc.2464.
  15. Lin, Y.L., Zhao, L.H., Yang, T.Y., Yang, G.L. and Chen, X.B. (2020), "Investigation on seismic behavior of combined retaining structure with different rock shapes", Struct. Eng. Mech., 73(5), 599-612. https://doi.org/10.12989/sem.2020.73.5.599.
  16. Liu, L.J., Su, Y., Zhu, J.J. and Lei, Y. (2016b), "Data fusion based EKF-UI for real-time simultaneous identification of structural systems and unknown external input", Measure., 88, 456-467. https://doi.org/10.1016/j.measurement.2016.02.002.
  17. Liu, L.J., Zhu, J.J., Su, Y. and Lei, Y. (2016a), "Improved Kalman filter with unknown inputs based on data fusion of partial acceleration and displacement measurements", Smart Struct. Syst., 17(6), 903-915. https://doi.org/10.12989./sss.2016.17.6.903.
  18. Lourens, E., Papadimitriou, C., Gillijns, S., Reynders, E., De Roeck, G. and Lombaert, G. (2012), "Joint input-response estimation for structural systems based on reduced-order models and vibration data from a limited number of sensors", Mech. Syst. Signal Pr., 29, 310-327. https://doi.org/10.1016/j.ymssp.2012.01.011.
  19. Lourens, E., Reynders, E., Roeck, G.D., Degrande, G. and Lombaert, G. (2012), "An augmented Kalman filter for force identification in structural dynamics", Mech. Syst. Signal Pr., 27, 446-460. https://doi.org/10.1016/j.ymssp.2011.09.025.
  20. Maes, K., Gillijns, S. and Lombaert, G. (2018), "A smoothing algorithm for joint input-state estimation in structural dynamics", Mech. Syst. Signal Pr., 98, 292-309. https://doi.org/10.1016/j.ymssp.2017.04.047.
  21. Masri, S., Bekey, G., Sassi, H. and Caughey, T. (1982), "Nonparametric identification of a class of nonlinear multi-degree dynamic systems", Earthq. Eng. Struct. D., 10, 1-30. https://doi.org/10.1002/eqe.4290100102.
  22. Mukhopadhyay, S., Lus, H. and Betti, R. (2015), "Structural identification with incomplete instrumentation and global identifiability requirements under base excitation", Struct. Control Hlth., 22, 1024-1047. https://doi.org/10.1002/stc.1732.
  23. Naets, F., Cuadrado, J. and Desmet, W. (2015), "Stable force identification in structural dynamics using Kalman filtering and dummy-measurements", Mech. Syst. Signal Pr., 50-51, 235-248. https://doi.org/10.1016/j. ymssp.2014.05.042.
  24. Nayeri, R.D., Masri, S.F., Ghanem, R.G. and Nigbor, R.L. (2008), "A novel approach for the structural identification and monitoring of a full-scale 17-story building based on ambient vibration measurements", Smart Mater. Struct., 17, 025006. https://doi.org/10.1088/0964-1726/17/2/025006.
  25. Ni, P.H., Xia, Y., Li, J. and Hao, H. (2018), "Improved decentralized structural identification with output-only measurements", Measure.t, 122, 597-610. https://doi.org/10.1016/j.measurement.2017.09.029.
  26. Pan, S.W., Su, H.Y., Wang, H. and Chu, J. (2010), "The study of input and state estimation with Kalman filtering", Tran. Inst. Measure. Control, 33(8), 901-918. https://doi.org/10.1177/0142331210361551.
  27. Salimi, M.R. and Yazdani, A. (2018), "Reliability-based fragility analysis of nonlinear structures under the actions of random earthquake loads", Struct. Eng. Mech., 66(1), 75-84. https://doi.org/10.12989/sem.2018.66.1.075.
  28. Sedehi, O., Papadimitriou, C., Teymouri, D. and Katafygiotis, L.S. (2019), "Sequential Bayesian estimation of state and input in dynamical systems using output-only measurements", Mech. Syst. Signal Pr., 131, 659-688. https://doi.org/10.1016/j.ymssp.2019.06.007.
  29. Valikhani, M. and Younesian, D. (2019), "Bayesian framework for simultaneous input/state estimation in structural and mechanical systems", Struct. Control Hlth., 26(9), 1-25. https://doi.org/10.1002/stc.2379.
  30. Xu, B. and He, J. (2015b), "Data-based model-free hysteretic restoring force and mass identification for dynamic systems", Comput. Aid. Civil Infrastr. Eng., 30, 2-18. https://doi.org/10.1111/mice.12066.
  31. Xu, B. and Li, J. (2019), "Nonparametric identification for structural restoring force and mass under unknown earthquake excitations", Eng. Mech., 36(9), 180-187. https://doi.org/10.6052/j.issn.1000-4750.2018.08.0473.
  32. Xu, B., Deng, B.C., Li, J. and He, J. (2018), "Structural nonlinearity and mass identification with a nonparametric model using limited acceleration measurements", Adv. Struct. Eng., 22(4), 1018-1031. https://doi.org/10.1177/1369433218792083.
  33. Xu, B., He, J. and Rovekamp, R. (2012), "Structural parameters and dynamic loading identification from incomplete measurements: approach and validation", Mech. Syst. Signal Pr., 28, 244-257. https://doi.org/10.1016/j.ymssp.2011.07.008.
  34. Xu, B., He, J. and Shirley, J. (2015a), "Model-free nonlinear restoring force identification for SMA dampers with double Chebyshev polynomials: approach and validation", Nonlin. Dyn., 82, 1507-1522. https://doi.org/10.1007/s11071-015-2257-0.
  35. Xu, B., Li, J., Shirley, J., Deng, B.C. and He, J. (2020), "Nonparametric identification for hysteretic behavior modeled with a power series polynomial using EKF-WGI approach under limited acceleration and unknown mass", Int. J. Nonlin. Mech., 119, 103324. https://doi.org/10.1016/j.ijnonlinmec.2019.103324.
  36. Yang, J.N., Pan, S.W. and Huang, H.W. (2007), "An adaptive extended Kalman filter for structural damage identification II: unknown inputs", Struct. Control Hlth., 14, 497-521. https://doi.org/10.1002/stc.171.
  37. Yi, J.H., Kim, D. and Feng, M.Q. (2009), "Periodic seismic performance evaluation of highway bridges using structural health monitoring system", Struct. Eng. Mech., 31(5), 527-544. https://doi.org/10.12989/sem.2009.31.5.527.
  38. Zhan, C., Li, D.S. and Li, H.N. (2014), "A local damage detection approach based on restoring force method", J. Sound Vib., 333, 4942-4959. https://doi.org/10.1016/j.jsv.2014.05.027.
  39. Zhang, D.Y. and Li, H. (2017), "Loop substructure identification for shear structures of unknown structural mass using synthesized references", Smart Mater. Struct., 26, 085046. https://doi.org/10.1088/1361-665X/aa743b.
  40. Zhang, K., Law, S.S. and Duan, Z.D. (2009), "Condition assessment of structures under unknown support excitation", Earthq. Eng. Eng. Vib., 8(1), 103-114. https://doi.org/10.1007/s11803-009-9003-x.
  41. Zhao, X., Xu, Y.L. and Chen, J. (2005), "Hybrid identification method for multi-story buildings with unknown ground motion: experimental investigation", Eng. Struct., 27(8), 1234-1247. https://doi.org/10.1016/j.engstruct.2005.03.008.
  42. Zhao, X., Xu, Y.L. and Li, J. (2006), "Hybrid identification method for multi-story buildings with unknown ground motion: theory", J. Sound Vib., 291(1), 215-239. https://doi.org/10.1016/j.jsv.2005.06.006.