Smart Structures and Systems

  • 제14권2호
  • /
  • Pages.191-207
  • /
  • 2014
  • /
  • 1738-1584(pISSN)
  • /
  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Recovering structural displacements and velocities from acceleration measurements

  • Ma, T.W. (Department of Civil and Environmental Engineering, University of Hawaii) ;
  • Bell, M. (Department of Civil and Environmental Engineering, University of Hawaii) ;
  • Lu, W. (Department of Civil and Environmental Engineering, University of Hawaii) ;
  • Xu, N.S. (Department of Civil and Environmental Engineering, University of Hawaii)
  • 투고 : 2013.06.20
  • 심사 : 2013.08.28
  • 발행 : 2014.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

In this research, an internal model based method is proposed to estimate the structural displacements and velocities under ambient excitation using only acceleration measurements. The structural response is assumed to be within the linear range. The excitation is assumed to be with zero mean and relatively broad bandwidth such that at least one of the fundamental modes of the structure is excited and dominates in the response. Using the structural modal parameters and partial knowledge of the bandwidth of the excitation, the internal models of the structure and the excitation can be respectively established, which can be used to form an autonomous state-space representation of the system. It is shown that structural displacements, velocities, and accelerations are the states of such a system, and it is fully observable when the measured output contains structural accelerations only. Reliable estimates of structural displacements and velocities are obtained using the standard Kalman filtering technique. The effectiveness and robustness of the proposed method has been demonstrated and evaluated via numerical simulations on an eight-story lumped mass model and experimental data of a three-story frame excited by the ground accelerations of actual earthquake records.

키워드

과제정보

연구 과제 주관 기관 : Hawaii Department of Transportation

참고문헌

  1. Allemang, R.J. (1980), Investigation of some multiple input/output frequency response function experimental modal analysis techniques, Ph.D. thesis, Department of Mechanical Engineering, University of Cincinnati, Department of Mechanical Engineering, University of Cincinnati.
  2. Allemang, R.J. and Brown, D.L. (1982), "A correlation coefficient for modal vector analysis", International Modal Analysis Conference.
  3. Astrom, K. J. (2006), Introduction to stochastic control theory, Dover Publications.
  4. Astrom, K.J. and Murray, R.M. (2008), Feedback systems: an introduction for scientists and engineers, Princeton University Press, Oxfordshire, United Kingdom.
  5. Au, S.K. and L., Z.F. (2011), "On assessing the posterior mode shape uncertainty in ambient modal identification", Probabilist. Eng. Mech., 26(3), 427-434. https://doi.org/10.1016/j.probengmech.2010.11.009
  6. Brincker, R., Zhang, L. and Andersen, P. (2001), "Modal identification of output- only system using frequency domain decomposition" , Smart Mater. Struct., 10(3), 441. https://doi.org/10.1088/0964-1726/10/3/303
  7. Ewins, D. J. (2000), Modal testing, theory, practice, and application, Research Studies Pre.
  8. Gindy, M., Vaccaro, R., Nassif, H. and Velde, J. (2008), "A state-space approach for deriving bridge displacement from acceleration", Comput-Aided. Civ. Infrastruct. Eng., 23(4), 281-290. https://doi.org/10.1111/j.1467-8667.2007.00536.x
  9. Hong, Y.H., Lee, S.G. and Lee, H.S. (2013), "Design of the fem-fir filter for displacement reconstruction using acceleration and displacements measured at different sampling rates", Mech. Syst. Signal Pr., 38(2), 460 -481. https://doi.org/10.1016/j.ymssp.2013.02.007
  10. Humar, J. L. (1990), Dynamics of structures, Prentice Hall, Englewood Cliffs, New Jersey.
  11. Kalman, R.E. (1960), "A new approach to linear filtering and prediction problems", J. Basic Eng., 82(Series D), 35-45. https://doi.org/10.1115/1.3662552
  12. Kim, N.S. and Cho, N.S. (2004), "Estimating deflection of a simple beam model using fiber optical bragg-grating sensors", Exp. Mech., 44(4), 433-439. https://doi.org/10.1007/BF02428097
  13. Lee, H.S., Hong, Y.H. and Park, H.W. (2010), "Design of an fir filter for the displacement reconstruction using measured acceleration in low-frequency dominant structures", Int. J. Numer. Meth. Eng., 82(4), 403-434.
  14. Liu, Y.C. and Loh, C.H. (2011), "Stochastic subspace identification for output-only modal analysis: accuracy and sensitivity on modal parameter estimation", Proceedings of the SPIE, San Diego (March).
  15. Lloret, S. and Rostogi, P. (2003), "An optical fiber sensor for dynamic deformation measurements based on the intensity modulation of a low-coherence source", J. Mod. Optic., 50(8), 1189-1194. https://doi.org/10.1080/09500340308235194
  16. Ma, T.W. and Xu, N.S. (2007), "Continuous time parameter estimation of multistory buildings", Proceedings of the SPIE, San Diego (March).
  17. Ma, T.W., Xu, N.S. and Tang, Y. (2008), "Decentralized robust control of building structures under seismic excitations", Earthq. Eng. Struct. D., 37(1), 121-140. https://doi.org/10.1002/eqe.748
  18. Matausek, M.R. and Stipanovic, D.M. (1998), "Modified nonlinear internal model control", Control. Intell. Syst., 26(2), 57-63.
  19. Nagarajaiah, S. and Basu, B. (2009), "Output only modal identification and structural damage detection using time frequency & wavelet techniques", Earthq. Eng. Eng. Vib., 8(4), 583-605. https://doi.org/10.1007/s11803-009-9120-6
  20. Nassif, H., Gindy, M. and Davis, J. (2005), "Comparison of laser doppler vibrometer with contact sensors for monitoring bridge deflection and vibration", NDT&E Int., 38(3), 213-218. https://doi.org/10.1016/j.ndteint.2004.06.012
  21. Park, H.S., Lee, H.M., Hojjat, A. and Lee, I. (2007), "A new approach for health monitoring of structures: terrestrial laser scanning", Comput.- Aided Civil Infrastruct. Eng., 22(1), 19-30. https://doi.org/10.1111/j.1467-8667.2006.00466.x
  22. Park, J.W., Sim, S.H. and Jung, H.J. (2013), "Development of a wireless displacement measurement system using acceleration responses", Sensors, 13(7), 8377-8392. https://doi.org/10.3390/s130708377
  23. Rahman, N.A. (1968), A course in theoretical statistics, Charles Griffin and Company.
  24. Roberts, G.W., Brown, C.J., Atkins, C., Meng, X., Colford, B. and Ogundipe, O. (2012), "Deflection and frequency monitoring of the forth road bridge, scotland, by gps", Bridge Eng., 165(2), 105-123.
  25. Smyth, A. and Wu, M.L. (2007), "Multi-rate kalman filtering for the data fusion of displacement and acceleration response measurements in dynamic system", Mech. Syst. Signal. Pr., 21(2), 706-723. https://doi.org/10.1016/j.ymssp.2006.03.005
  26. Spencer, B.F., Suhardjo, J. and Sain, M.K. (1994), "Frequency domain optimal control strategies for a seismic protection", J. Eng. Mech. - ASCE, 120(1), 135-158. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:1(135)
  27. Tolstov, G. P. (1976), Fourier series, Dover.
  28. Xu, N.S. (2001), Random signal estimation and system control (Chinese), The Beijing Polytechnic University Press, Beijing, China.
  29. Xu, N.S. and Yang, Z.H. (1999), "Predictive structural control based on dominant internal model approach", Automatica, 35(1), 59-67. https://doi.org/10.1016/S0005-1098(98)00123-X
  30. Yang, J.N. (1982), "Control of tall buildings under earthquake excitation", J. Eng. Mech. - ASCE, 108(5), 883-849.
  31. Yoneyama, S., Kitagawa, A., Iwata, S., Tani, K. and Kikuta, H. (2007), "Bridge deflection measurement using digital image correlation", Exp. Techniques, 31(1), 34-40. https://doi.org/10.1111/j.1747-1567.2006.00132.x

피인용 문헌

  1. Hybrid motion sensing and experimental modal analysis using collocated smartphone camera and accelerometers vol.28, pp.10, 2017, https://doi.org/10.1088/1361-6501/aa82ac
  2. Reconstruction to Sensor Measurements Based on a Correlation Model of Monitoring Data vol.7, pp.3, 2017, https://doi.org/10.3390/app7030243
  3. Extension of indirect displacement estimation method using acceleration and strain to various types of beam structures vol.14, pp.4, 2014, https://doi.org/10.12989/sss.2014.14.4.699
  4. Investigations on state estimation of smart structure systems vol.25, pp.1, 2020, https://doi.org/10.12989/sss.2020.25.1.037
  5. Structural Response Estimation Based on Kalman Filtering with Known Frequency Component of External Excitation and Multitype Measurements for Beam-Type Structure vol.34, pp.6, 2014, https://doi.org/10.1061/(asce)as.1943-5525.0001316