Multi-Phase Model Update for System Identification of PSC Girders under Various Prestress Forces

  • Received : 2010.10.11
  • Accepted : 2010.12.06
  • Published : 2010.12.31

Abstract

This paper presents a multi-phase model update approach for system identification of prestressed concrete (PSC) girders under various prestress forces. First, a multi-phase model update approach designed on the basis of eigenvalue sensitivity concept is newly proposed. Next, the proposed multi-phase approach is evaluated from controlled experiments on a lab-scale PSC girder for which forced vibration tests are performed for a series of prestress forces. On the PSC girder, a few natural frequencies and mode shapes are experimentally measured for the various prestress forces. The corresponding modal parameters are numerically calculated from a three-dimensional finite element (FE) model which is established for the target PSC girder. Eigenvalue sensitivities are analyzed for potential model-updating parameters of the FE model. Then, structural subsystems are identified phase-by-phase using the proposed model update procedure. Based on model update results, the relationship between prestress forces and model-updating parameters is analyzed to evaluate the influence of prestress forces on structural subsystems.

Acknowledgement

Supported by : Korean Science and Engineering Foundation (KOSEF)

References

  1. Adam, R.D., Cawley, P., Pye, C.J., Stone, B.J. (1978) A Vibration Technique for Non-Destructively Assessing the Integrity of Structures, Journal of Mechanical Engineering Science, 20, pp.93-100. https://doi.org/10.1243/JMES_JOUR_1978_020_016_02
  2. Brincker, R., Zhang, L., Andersen, P. (2001) Modal Identification of Output-Only Systems using Frequency Domain Decomposition, Smart Materials and Structures, 10, pp.441-445. https://doi.org/10.1088/0964-1726/10/3/303
  3. Brownjohn, J.M.W., Xia, P.Q., Hao, H., Xia, Y. (2001) Civil Structure Condition Assessment by FE Mode Lupdating: Methodology and Case Studies, Finite Elements in Analysis and Design, 37, pp.761-775. https://doi.org/10.1016/S0168-874X(00)00071-8
  4. Collins, M.P., Mitchell, D. (1991) Prestressed Concrete Structures, Prentice Hall, Englewood Cliffs, New Jersey.
  5. Computers and Structures Inc. (2005) CSI Analysis Reference Manual for SAP2000, Berkeley, USA.
  6. Friswell, M.I., Mottershead, J.E. (1995) Finite Element Model Updating in Structural Dynamics, Kluwer Academic, Boston.
  7. Jaishi, B., Ren, W.X. (2005) Structural Finite Element Model Updating using Ambient Vibration test Results, Journal of Structural Engineering, 131(4), pp.617-628. https://doi.org/10.1061/(ASCE)0733-9445(2005)131:4(617)
  8. Kim, J.T., Stubbs, N. (1995) Model-Uncertainty Impact and Damage-Detection Accuracy in Plate Girder, Journal of Structural Engineering, 121(10), pp.1409-1417. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:10(1409)
  9. Kim, J.T., Ryu, Y.S, Lee, B.H., Stubbs, N. (1997) Smart Baseline Model for Nondestructive Evaluation of Highway Bridges, Proceeding of SPIE International Symposium, Smart Systems for Bridges, Structures, and Highways, San Diego, March.
  10. Kim, J.T., Yun, C.B., Ryu, Y.S., Cho, H.M. (2004) Identification of Prestress-Loss in PSC Beams using Modal Information, Structural Engineering and Mechanics, 17(3-4), pp.467-482.
  11. Kwon, K.S., Lin, R.M. (2004) Frequency Selection Method for FRF-based Model Updating, Journal of Sound and Vibration, 278, pp.285-306. https://doi.org/10.1016/j.jsv.2003.10.003
  12. Law, S.S., Lu, J.R. (2005) Time Domain Response of a Prestressed Beam and Prestress Identification, Journal of Sound and Vibration, 288(4-5), pp.1011-1025. https://doi.org/10.1016/j.jsv.2005.01.045
  13. Miyamoto, A., Tei, K., Nakamura, H., Bull, J.W. (2000) Behavior of Prestressed beam Strengthened with External Tendons, Journal of Structural Engineering, 126, pp.1033-1044. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:9(1033)
  14. National Instruments (2009) www.ni.com.
  15. Nawy, E.G. (1996) Prestressed concrete-A Fundamental Approach, PrenticeHall, USA.
  16. Saiidi, M., Douglas, B., Feng, S. (1994) Prestress Force Effect on Vibration Frequency of Concrete Bridges, Journal of Structural Engineering, 120, pp.2233-2241. https://doi.org/10.1061/(ASCE)0733-9445(1994)120:7(2233)
  17. Stubbs, N., Kim, J.T. (1996) Damage Localization in Structures Without Baseline Modal Parameters, AIAA Journal, 34(8), pp.1644-1649. https://doi.org/10.2514/3.13284
  18. Stubbs, N., Osegueda, R. (1990) Global Non-Destructive Damage Evaluation in Solids, The International Journal of Analytical and Experimental Modal Analysis, 5(2) pp.67-79.
  19. The MathWorks Inc. (2004) $MATLAB_{(R)}$ The Language of Technical Computing, .
  20. Wu, J.R., Li, Q.S. (2004) Finite Element Model Updating for a High-Rise Structure Based on Ambient Vibration Measurements, Engineering Structures, 26, pp.979-990. https://doi.org/10.1016/j.engstruct.2004.03.002
  21. Yang, Y.B., Chen Y.J. (2009) A New Direct Method for Updating Structural Models Based on Measured Modal Data, Engineering Structures, 31, pp.32-42. https://doi.org/10.1016/j.engstruct.2008.07.011
  22. Yi, J.H., Yun, C.B. (2004) Comparative Study on Modal Identification Methods using Output-Only Information, Structural Engineering and Mechanics, 17(3-4), pp.445-466.
  23. Zhang, Q.W., Chang, C.C., Chang T.Y.P. (2000) Finite Element Model Updating for Structures with Parametric Constraints, Earthquake Engineering and Structural Dynamics, 29, pp.927-944. https://doi.org/10.1002/1096-9845(200007)29:7<927::AID-EQE955>3.0.CO;2-4
  24. Zhang, Q.W., Chang, T.Y.P., Chang, C.C. (2001) Finite Element Model Updating for the Kap Shui Mun Cable-Stayed Bridge, Journal of Bridge Engineering, 6(4), pp.285-293. https://doi.org/10.1061/(ASCE)1084-0702(2001)6:4(285)