DOI QR코드

DOI QR Code

Damage assessment of shear buildings by synchronous estimation of stiffness and damping using measured acceleration

  • Shin, Soobong (Department of Civil Engineering, Inha University) ;
  • Oh, Seong Ho (Department of Civil Engineering, Dong-A University)
  • 투고 : 2006.08.01
  • 심사 : 2006.12.26
  • 발행 : 2007.07.25

초록

Nonlinear time-domain system identification (SI) algorithm is proposed to assess damage in a shear building by synchronously estimating time-varying stiffness and damping parameters using measured acceleration data. Mass properties have been assumed as the a priori known information. Viscous damping was utilized for the current research. To chase possible nonlinear dynamic behavior under severe vibration, an incremental governing equation of vibrational motion has been utilized. Stiffness and damping parameters are estimated at each time step by minimizing the response error between measured and computed acceleration increments at the measured degrees-of-freedom. To solve a nonlinear constrained optimization problem for optimal structural parameters, sensitivities of acceleration increment were formulated with respect to stiffness and damping parameters, respectively. Incremental state vectors of vibrational motion were computed numerically by Newmark-${\beta}$ method. No model is pre-defined in the proposed algorithm for recovering the nonlinear response. A time-window scheme together with Monte Carlo iterations was utilized to estimate parameters with noise polluted sparse measured acceleration. A moving average scheme was applied to estimate the time-varying trend of structural parameters in all the examples. To examine the proposed SI algorithm, simulation studies were carried out intensively with sample shear buildings under earthquake excitations. In addition, the algorithm was applied to assess damage with laboratory test data obtained from free vibration on a three-story shear building model.

키워드

참고문헌

  1. Banan, M. R., Banan, M. R. and Hjelmstad, K. D. (1995), "Time-domain parameter estimation algorithm for structures II: numerical simulation studies", J. Eng. Mech., ASCE, 121(3), 435-447. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:3(435)
  2. Douglas, B. M. and Reid, W. H. (1982), "Dynamic tests and system identification of bridges", J. Struct. Div., ASCE, 108(ST10), October, 2295-2312.
  3. Hjelmstad, K. D., Banan, M. R. and Banan, M. R. (1995), "Time-domain parameter estimation algorithm for structures I: computational aspects", J. Eng. Mech., ASCE, 121(3), 424-434. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:3(424)
  4. Hjelmstad, K. D. and Shin, S. (1996), "Crack identification in a cantilever beam from modal response", J. Sound Vib., 198(5), 527-545. https://doi.org/10.1006/jsvi.1996.0587
  5. Jang, J. H., Yeo, I., Shin, S. and Jang, S. P. (2002), "Experimental investigation of SI-based damage assessment of structures", J. Struct. Eng., ASCE, 128(5), 673-682. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:5(673)
  6. Kang, J. S., Park, S.-K, Shin, S. and Lee, H. S. (2005), "Structural system identification in time domain using measured acceleration", J. Sound Vib., 288, 215-234. https://doi.org/10.1016/j.jsv.2005.01.041
  7. Kim, C.-Y., Jung, D.-S., Kim, N.-S., Kwon, S.-D. and Feng, M. Q. (2003), "Effect of vehicle weight on natural frequencies of bridges measured from traffic-induced vibration", J. Earthq. Eng. Eng. Vib., 2(1), June, 109-115. https://doi.org/10.1007/BF02857543
  8. Kim, J. T. Yun, C. B. and Park, J. H. (2004), "Temperature effects on vibration-based damage detection in model plate-girder bridges", The 5th Korea-Japan Seminar/Workshop on System Identification and Structural Health Monitoring, Dongguk University, Jan. 30-31, 159-168.
  9. Li, B. (2000), "Reconstruction of linear and nonlinear continuous time system models from input/output data using the Kernel invariance algorithm", J. Sound Vib., 233, 877-896. https://doi.org/10.1006/jsvi.1999.2843
  10. Lin, C. C., Soong, T. T. and Natke, H. G. (1989), "Real time system identification of degrading structures", J. Eng. Mech., ASCE, 116(10), 2258-2274.
  11. Loh, C. H. and Lin, C. Y. (2000), "Time domain identification of frames under earthquake loadings", J. Eng. Mech., ASCE, 126(7), 693-703. https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(693)
  12. Raghavendrachar, M. and Aktan, A. E. (1992), "Flexibility by multi-reference impact testing for bridge diagnostics", J. Struct. Eng., ASCE, 118(8), 2186-2203. https://doi.org/10.1061/(ASCE)0733-9445(1992)118:8(2186)
  13. Salawu, O. S. and Williams, C. (1995), "Bridge assessment using forced-vibration testing", J. Struct. Eng., ASCE, 121(2), February, 161-173. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:2(161)
  14. Shin, S. (1994), "Damage detection and assessment of structural systems from measured response", Ph.D. Thesis, University of Illinois at Urbana-Champaign.
  15. Tiwari, R. (2000), "On-line identification and estimation of nonlinear stiffness parameters of bearings", J. Sound Vib., 234(5), 906-910. https://doi.org/10.1006/jsvi.1999.2704
  16. Yoshida, I. (2001), "Damage detection using Monte Carlo filter based on non-Gaussian noise", Proceedings of Nonlinear System Identification and Structural Health Monitoring, DPRI, Kyoto University, 281-292.
  17. Yoshida, I. and Sato, T. (2004), "Damage detection by adaptive Monte Carlo filter", The 5th Korea-Japan Seminar/Workshop on System Identification and Structural Health Monitoring, Dongguk University, Jan. 30-31, 209-216.
  18. Yun, C. B. and Shinozuka, M. (1980), "Identification of nonlinear structural dynamic systems", J. Struct. Mech., ASCE, 8(2), 187-203. https://doi.org/10.1080/03601218008907359

피인용 문헌

  1. Smart sensing, monitoring, and damage detection for civil infrastructures vol.15, pp.1, 2011, https://doi.org/10.1007/s12205-011-0001-y
  2. Identification of structural damping in time domain vol.328, pp.1-2, 2009, https://doi.org/10.1016/j.jsv.2009.07.033
  3. Nonlinear dynamic analysis of frames with plastic hinges at arbitrary locations 2009, https://doi.org/10.1002/tal.513
  4. Recent R&D activities on structural health monitoring in Korea vol.3, pp.1, 2016, https://doi.org/10.12989/smm.2016.3.1.091
  5. Estimation of interfacial forces in time domain for linear systems vol.329, pp.13, 2010, https://doi.org/10.1016/j.jsv.2010.01.003
  6. Locating the damaged storey of a building using distance measures of low-order AR models vol.6, pp.9, 2007, https://doi.org/10.12989/sss.2010.6.9.991