Earthquakes and Structures

  • 제2권4호
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  • Pages.323-336
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  • 2011
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  • 2092-7614(pISSN)
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  • 2092-7622(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Reconstruction of missing response data for identification of higher modes

  • Shrikhande, Manish (Department of Earthquake Engineering, Indian Institute of Technology Roorkee)
  • 투고 : 2010.02.19
  • 심사 : 2011.04.20
  • 발행 : 2011.12.25
⟨ 이전 논문 다음 논문 ⟩

초록

The problem of reconstruction of complete building response from a limited number of response measurements is considered. The response at the intermediate degrees of freedom is reconstructed by using piecewise cubic Hermite polynomial interpolation in time domain. The piecewise cubic Hermite polynomial interpolation is preferred over the spline interpolation due to its trend preserving character. It has been shown that factorization of response data in variable separable form via singular value decomposition can be used to derive the complete set of normal modes of the structural system. The time domain principal components can be used to derive empirical transfer functions from which the natural frequencies of the structural system can be identified by peak-picking technique. A reduced-rank approximation for the system flexibility matrix can be readily constructed from the identified mass-orthonormal mode shapes and natural frequencies.

키워드

참고문헌

  1. Allemang, R. (2003), "The modal assurance criterion: twenty years of use and abuse", Sound Vib., 37(8),14-23.
  2. Alvin, K., Robertson, A., Reich, G. and Park, K. (2003), "Structural system identification: from reality to models", Comput. Struct., 81(12), 1149-1176. https://doi.org/10.1016/S0045-7949(03)00034-8
  3. Brincker, R., Zhang, L. and Andersen, P. (2001), "Modal identification of output only systems using frequency domain decomposition", Smart Mater. Struct., 10(3), 441-445. https://doi.org/10.1088/0964-1726/10/3/303
  4. Brownjohn, J. (2007), "Structural health monitoring of civil infrastructure", Philos. T. R. Soc. A, 365, 589-622, doi:10.1098/rsta.2006.1925.
  5. Chan, J. and Tse, P. (2009), "A novel, fast, reliable data transmission algorithm for wireless machine health monitoring", IEEE T. Reliab., 58(2), 295-304. https://doi.org/10.1109/TR.2009.2020479
  6. Choudhury, K. (2007), "On the reliability of a class of system identification techniques", M.Tech. dissertation, Department of Earthquake Engineering, Indian Institute of Technology Roorkee, Roorkee-247667, India.
  7. Datta, A., Shrikhande, M. and Paul, D. (2002), "On the optimal location of sensors in multi-storeyed buildings", J. Earthq. Eng., 6(1),17-30. https://doi.org/10.1080/13632460209350408
  8. Distefano, N. and Pena-Pardo, B. (1976), "System identification of frames under seismic loads", J. Eng. Mech. - ASCE, 102(EM2), 313-330.
  9. Eaton, J.W. (2002), GNU Octave manual, Network Theory Limited, United Kingdom, http://www.octave.org.
  10. Feeny, B. and Kappagantu, R. (1998), "On the physical interpretation of proper orthogonal modes in vibrations". J. Sound Vib., 211(4), 607-616. https://doi.org/10.1006/jsvi.1997.1386
  11. Fritsch, F. and Carlson, R. (1980), "Monotone piecewise cubic interpolation", SIAM J Numer. Anal., 17(2), 238-246. https://doi.org/10.1137/0717021
  12. Golub, G. and Loan, C.V. (1996), Matrix computations, John Hopkins University Press, 3rd edition.
  13. Han, S. and Feeny, B. (2003), "Application of proper orthogonal decomposition to structural vibration analysis", Mech. Syst. Signal Pr., 17(5), 989-1001. https://doi.org/10.1006/mssp.2002.1570
  14. Hart, G. and Yao, J. (1977), "System identification in structural dynamics", J. Eng. Mech. - ASCE, 103(EM6), 1089-1104.
  15. Heredia-Zavoni, E. and Esteva, L. (1998), "Optimal instrumentation of uncertain structural systems subject to earthquake ground motions", Earthq. Eng. Struct. Dyn., 27(4), 343-362. https://doi.org/10.1002/(SICI)1096-9845(199804)27:4<343::AID-EQE726>3.0.CO;2-F
  16. Jaishi, B. and Ren, W.X. (2007), "Finite element model updating based on eigenvalue and strain energy residuals using multiobjective optimisation tech- nique", Mech. Syst. Signal Pr., 21(5), 2295-2317. https://doi.org/10.1016/j.ymssp.2006.09.008
  17. James III, G., Carrie, T. and Laufer, J. (1993), "The natural excitation technique (NExT) for modal parameter extraction from operating wind turbines", Technical Report SAND92-1666, Sandia National Laboratories, Albuquerque, New Mexico, U.S.A. http://infoserve.library.sandia.gov/sand_doc/1992/921666.pdf.
  18. Juang, J.N. (1987), "Mathematical correlation of modal parameter identification methods via system realization theory", Int. J. Anal. Exper. Modal Anal., 2, 1-18.
  19. Juang, J.N. and Pappa, R. (1985), "An eigensystem realization algorithm for modal parameter identification and model reduction", J. Guid. Control Dynam., 8(5), 620-627. https://doi.org/10.2514/3.20031
  20. Kerschen, G. and Golinval, J. (2002), "Physical interpretation of proper orthogonal modes using the singular value decomposition", J. Sound Vib., 249(5), 849-865. https://doi.org/10.1006/jsvi.2001.3930
  21. Limongelli, M. (2003), "Optimal location of sensors for reconstruction of seismic responses through spline function interpolation", Earthq. Eng. Struct. Dyn., 32(7), 1055-1074. https://doi.org/10.1002/eqe.262
  22. Ljung, L. (1985), "On the estimation of transfer functions", Automatica, 21(6), 677-696. https://doi.org/10.1016/0005-1098(85)90042-1
  23. Moler, C. (2004), Numerical computing with MATLAB, Society for Industrial Applications of Mathematics (SIAM), Philadelphia, http://www.mathworks.com/moler/chapters.html.
  24. Patil, A.D. (2009), "Structural health monitoring via flexibility update", M.Tech. dissertation, Department of Earthquake Engineering, Indian Institute of Technology Roorkee, Roorkee-247667, India.
  25. Peeters, B. and de Roeck, G. (2001), "Stochastic system identification for operational modal analysis: a review", J. Dyn. Syst. Measurement Control, 123(4), 659-667. https://doi.org/10.1115/1.1410370
  26. Peeters, B., Lau, J., Lanslots, J. and Van der Auweraer, H. (2008), "Automatic modal analysis - myth or reality?", Sound Vib., (March):17-21, http://www.sandvmag.com/downloads/0803peet.pdf.
  27. Shi, Z., Law, S. and Zhang, L. (2000), "Structural damage detection from modal strain energy change", J. Eng. Mech. - ASCE, 126(12), 1216-1223. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:12(1216)
  28. Shih, C., Tsuei, Y., Allemang, R. and Brown, D. (1988), "Complex mode indication function and its application to spatial domain parameter estimation", Mech. Syst. Signal Pr., 2(4), 367-377. https://doi.org/10.1016/0888-3270(88)90060-X
  29. Shiradhonkar, S.R. (2009), "Structural health monitoring via finite element model updating", M.Tech. dissertation, Department of Earthquake Engineering, Indian Institute of Technology Roorkee, Roorkee-247667, India.
  30. Shrikhande, M. and Gupta, V. (2001), "On the characterization of the phase spectrum for strong motion synthesis", J. Earthq. Eng., 5(4), 465-482. https://doi.org/10.1080/13632460109350402
  31. Sohn, H., Farrar, C., Hemez, F., Shunk, D., Stinemates, S., Nadler, B. and Czarnecki, J. (2004), "A review of structural health monitoring literature from 1996-2001", Technical Report LA-13976-MS, Los Alamos National Laboratory, U.S.A.
  32. Todorovska, M., Ivanovic, S. and Trifunac, M. (2001a), "Wave propagation in a seven-story reinforced concrete building: I. Theoretical models", Soil Dyn. Earthq. Eng., 21(3), 211-223. https://doi.org/10.1016/S0267-7261(01)00003-3
  33. Todorovska, M., Ivanovic, S. and Trifunac, M. (2001b), "Wave propagation in a seven-story reinforced concrete building: II. Observed wavenumbers", Soil Dyn. Earthq. Eng., 21(3), 225-236. https://doi.org/10.1016/S0267-7261(01)00004-5
  34. Udwadia, F. (1994), "Methodology for optimum sensor locations for parameter identification in dynamic systems", J. Eng. Mech. - ASCE, 120(2), 368-390. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:2(368)
  35. Udwadia, F. and Sharma, D. (1978), "Some uniqueness results related to building structural identification", SIAM J. Appl. Math., 34, 104-118. https://doi.org/10.1137/0134009
  36. Villaverde, R. (1991), "Explanation for the numerous upper floor collpses during the 1985 Mexico City earthquake", Earthq. Eng. Struct. Dyn., 20(3), 223-241. https://doi.org/10.1002/eqe.4290200303
  37. Yi, J.H. and Yun, C.B. (2004), "Comparative study on modal identification methods using output-only information", Struct. Eng. Mech., 17(3-4), 445-466. https://doi.org/10.12989/sem.2004.17.3_4.445
  38. Zhang, Y., Zhang, Z., Hu, X. and Hua, H. (2005), "Modal parameter identification using response data only", J. Sound Vib., 282(1-2), 367-380. https://doi.org/10.1016/j.jsv.2004.02.012

피인용 문헌

  1. Remaining stiffness estimation of buildings using incomplete measurements vol.24, pp.4, 2017, https://doi.org/10.1002/stc.1899
  2. Time and frequency domain identification of seismically isolated structures: advantages and limitations vol.3, pp.3, 2012, https://doi.org/10.12989/eas.2012.3.3_4.249