Smart Structures and Systems

  • 제15권2호
  • /
  • Pages.409-424
  • /
  • 2015
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Locating and identifying model-free structural nonlinearities and systems using incomplete measured structural responses

  • Liu, Lijun (Department of Mechanical and Electrical Engineering, Xiamen University) ;
  • Lei, Ying (Department of Civil Engineering, Xiamen University) ;
  • He, Mingyu (Department of Civil Engineering, Xiamen University)
  • 투고 : 2014.11.14
  • 심사 : 2015.01.11
  • 발행 : 2015.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

Structural nonlinearity is a common phenomenon encountered in engineering structures under severe dynamic loading. It is necessary to localize and identify structural nonlinearities using structural dynamic measurements for damage detection and performance evaluation of structures. However, identification of nonlinear structural systems is a difficult task, especially when proper mathematical models for structural nonlinear behaviors are not available. In prior studies on nonparametric identification of nonlinear structures, the locations of structural nonlinearities are usually assumed known and all structural responses are measured. In this paper, an identification algorithm is proposed for locating and identifying model-free structural nonlinearities and systems using incomplete measurements of structural responses. First, equivalent linear structural systems are established and identified by the extended Kalman filter (EKF). The locations of structural nonlinearities are identified. Then, the model-free structural nonlinear restoring forces are approximated by power series polynomial models. The unscented Kalman filter (UKF) is utilized to identify structural nonlinear restoring forces and structural systems. Both numerical simulation examples and experimental test of a multi-story shear building with a MR damper are used to validate the proposed algorithm.

키워드

과제정보

연구 과제 주관 기관 : Natural Science Foundation of China (NSFC)

참고문헌

  1. Al-Hadid, M.A. and Wright, J.R. (1992), "Estimation of mass and modal mass in the identification of non-linear single and multi degree of freedom systems using the force-state mapping approach", Mech. Syst. Signal Pr., 6(4), 383-401. https://doi.org/10.1016/0888-3270(92)90038-K
  2. Crawley, E.F. and Aubert, A.C. (1986), "Identification of nonlinear structural elements by force-state mapping", AIAA J., 24(1), 155-162. https://doi.org/10.2514/3.9236
  3. Dahl, P.R. (1976), "Solid friction damping of mechanical vibrations", AIAA J., 14(12), 1675-1682. https://doi.org/10.2514/3.61511
  4. Feng, M.Q. (2009), "Application of structural health monitoring in civil infrastructure", Smart Struct. Syst., 5(4), 469-482. https://doi.org/10.12989/sss.2009.5.4.469
  5. He, J., Xu, B. and Masri, S.F. (2012), "Restoring force and dynamic loadings identification for a nonlinear chain-like structure with partially unknown excitations", Nonlinear Dynam., 69(1-2), 231-245. https://doi.org/10.1007/s11071-011-0260-7
  6. Hernandez-Garcia, M.R., Masri, S.F. and Ghanem, R. (2010), "A structural decomposition approach for detecting, locating, and quantifying nonlinearities in chain-like systems", Struct. Control Health Monit., 17(7) ,761-777. https://doi.org/10.1002/stc.396
  7. Hoshiya, M. and Saito, E. (1984), "Structural identification by extended Kalman filter", J. Eng. Mech. - ASCE, 110(12), 1757-1771. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:12(1757)
  8. Julier, S.J. and Uhlmann, J.K. (2004), "Unscented filtering and nonlinear estimation", P. IEEE, 92(3), 401-422. https://doi.org/10.1109/JPROC.2003.823141
  9. Kerschena, G., Wordenb, K., Vakakis, A.F. and Golinvala, J.C. (2006), "Past, present and future of nonlinear system identification in structural dynamics", Mech. Syst. Signal Pr., 20(3),505-592. https://doi.org/10.1016/j.ymssp.2005.04.008
  10. Kim, I.H., Jung, H.J. and Kim, J.T. (2011), "Numerical investigation of an MR damper-based smart passive control system for mitigating vibration of stay cables", Struct. Eng. Mech., 37(4), 443-458. https://doi.org/10.12989/sem.2011.37.4.443
  11. Lee, Y.S., Vakakis, A.F., McFarland, D.M. and Bergman, L.A. (2010), "A global-local approach to Nonlinear system identification: a review", Struct. Control Health Monit., 17(7),742-760. https://doi.org/10.1002/stc.414
  12. Lei, Y., Wu, Y. and Li, T. (2012), "Identification of nonlinear structural parameters under limited input and output measurements", Int. J. Nonlinear Mech., 47(10), 1141-1146. https://doi.org/10.1016/j.ijnonlinmec.2011.09.004
  13. Lei, Y., Liu, C., Jiang, Y.Q. and Mao, Y.K. (2013), "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
  14. Lei, Y. and He, M.Y. (2013), "Identification of the nonlinear properties of rubber-bearings in base-isolated buildings with limited seismic response data", Sci. China-Technol. Sci., 56(5), 1224-1231. https://doi.org/10.1007/s11431-013-5196-3
  15. Lu, W., Teng, J. and Xu, Y.L. (2013), "Identification of damage in dome-like structures using hybrid sensor measurements and artificial neural networks", Smart Mater. Struct., 22(10), doi:10.1088/0964-1726/22/10/105014
  16. Mariani, S. and Ghisi, A. (2007), "Unscented Kalman filtering for nonlinear structural dynamics", Nonlinear Dynam., 49(1-2), 131-150. https://doi.org/10.1007/s11071-006-9118-9
  17. Masri, S.F. and Caughey, T.K. (1979), "A nonparametric identification technique for nonlinear dynamic problems.., J. Appl. Mech. - ASME, 46(2), 433-447. https://doi.org/10.1115/1.3424568
  18. Masri, S.F., Sassi, H. and Caughey, T.K. (1982), "A nonparametric identification of nearly arbitrary nonlinear systems", J. Appl. Mech. - ASME, 49(3), 619-628. https://doi.org/10.1115/1.3162537
  19. Masri, S.F., Miller, R.K., Saud, A.F. et al. (1987), "Identification of nonlinear vibrating structures: part II -application", J. Appl. Mech. - ASME, 109, 923-929.
  20. Masri, S.F., Caffery, J.P., Caughey, T.K., Smyth, A.W. and Chassiakos, A.G. (2005), "A general data-based approach for developing reduced-order models of non-linear MDOF systems", Nonlinear Dynam., 39(1-2), 95-112. https://doi.org/10.1007/s11071-005-1916-y
  21. Masri, S.F., Tasbihgoo, F., Caffery, J.P., Smyth, A.W. and Chassiakos, A.G. (2006), "Data-based model-free representation of complex hysteretic MDOF systems", Struct. Control Health Monit., 13(1), 365-387. https://doi.org/10.1002/stc.147
  22. Omrani, R., Hudson, R.E. and Taciroglu, E. (2013), "Parametric identification of nondegrading hysteresis in a laterally and torsionally coupled building using an unscented Kalman filter", J. Eng. Mech. - ASCE, 139(4), 452-468. https://doi.org/10.1061/(ASCE)EM.1943-7889.0000498
  23. Su, J.Z., Xia Y. and Xu Y.L. (2014), "Settlement monitoring of a supertall building using the Kalman filtering technique and forward construction stage analysis", Adv. Struct. Eng., 17(6), 881-893 https://doi.org/10.1260/1369-4332.17.6.881
  24. Woo, S.S. and Lee, S.H. (2013), "Damping updating of a building structure installed with an MR damper", Smart Struct. Syst., 12(6), 695-705. https://doi.org/10.12989/sss.2013.12.6.695
  25. Wu, M. and Smyth, A.W. (2007), "Application of the unscented Kalman filter for real-time nonlinear structural system identification", Struct. Control Health Monit., 14 (7),971-990. https://doi.org/10.1002/stc.186
  26. Xia, Y., Chen, B. and Zhou, X.Q. (2013), "Field monitoring and numerical analysis of Tsing Ma Suspension Bridge temperature behavior", Struct. Control Health Monit., 20(4), 560-575. https://doi.org/10.1002/stc.515
  27. Xu, B., He, J. and Masri, S. F. (2012), "Data-based Identification of nonlinear restoring force under spatially incomplete excitations with power series polynomial model", Nonlinear Dynam., 67(3), 2063-2080. https://doi.org/10.1007/s11071-011-0129-9
  28. Yan, A.Z., Teng, J. and Lu, Z.X. (2008), "Effect of geometrical nonlinearity on the SAVIS device", Adv. Struct. Eng., 11(1), 91-105. https://doi.org/10.1260/136943308784069441
  29. Yang, J.N., Lin, S., Huang, H.W. and Zhou, L. (2006), "An adaptive extended Kalman filter for structural damage identification", Struct. Control Health Monit.,13(4), 849-867. https://doi.org/10.1002/stc.84
  30. Yi, T.H., Li, H.N. and Gu, M. (2012), "Sensor placement for structural health monitoring of Canton Tower". Smart Struct. Syst., 10(4-5), 313-329. https://doi.org/10.12989/sss.2012.10.4_5.313
  31. Yi, T.H., Li, H.N. and Sun, H.M. (2013), "Multi-stage structural damage diagnosis method based on 'energy-damage. theory". Smart Struct. Syst., 12(3-4), 345-361. https://doi.org/10.12989/sss.2013.12.3_4.345

피인용 문헌

  1. Effect of flexural and shear stresses simultaneously for optimized design of butterfly-shaped dampers: Computational study vol.23, pp.4, 2015, https://doi.org/10.12989/sss.2019.23.4.329
  2. Identification of the nonlinear characteristics of rubber bearings in model-free base-isolated buildings using partial measurements of seismic responses vol.39, pp.3, 2015, https://doi.org/10.1177/1461348419843385