Wind and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Determination of flutter derivatives by stochastic subspace identification technique

  • Qin, Xian-Rong (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University) ;
  • Gu, Ming (State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University)
  • Received : 2003.07.26
  • Accepted : 2004.01.05
  • Published : 2004.06.25
⟨ Previous Next ⟩

Abstract

Flutter derivatives provide the basis of predicting the critical wind speed in flutter and buffeting analysis of long-span cable-supported bridges. In this paper, one popular stochastic system identification technique, covariance-driven Stochastic Subspace Identification(SSI in short), is firstly presented for estimation of the flutter derivatives of bridge decks from their random responses in turbulent flow. Secondly, wind tunnel tests of a streamlined thin plate model and a ${\Pi}$ type blunt bridge section model are conducted in turbulent flow and the flutter derivatives are determined by SSI. The flutter derivatives of the thin plate model identified by SSI are very comparable to those identified by the unifying least-square method and Theodorson's theoretical values. As to the ${\Pi}$ type section model, the effect of turbulence on aerodynamic damping seems to be somewhat notable, therefore perhaps the wind tunnel tests for flutter derivative estimation of those models with similar blunt sections should be conducted in turbulent flow.

Keywords

References

  1. Chen, Z.Q. and Yu, X.D. (2002), "A new method for measuring flutter self-excited forces of long-span bridges", China Civil Engineering Journal, 35(5), 34-41.
  2. Gu, M., Zhang, R.X. and Xiang, H.F. (2000), "Identification of flutter derivatives of bridge decks", J. Wind Eng. Ind. Aerodyn., 84, 151-162. https://doi.org/10.1016/S0167-6105(99)00051-3
  3. Gu, M., Zhang, R.X. and Xiang H.F. (2001), "Parametric study on flutter derivatives of bridge decks", Eng. Struct., 23, 1607-1613. https://doi.org/10.1016/S0141-0296(01)00059-1
  4. Jakobsen, J.B. and Hjorth-Hansen, E. (1995), "Determination of the aerodynamic derivatives by a system identification method", J. Wind Eng. Ind. Aerodyn., 57, 295-305. https://doi.org/10.1016/0167-6105(95)00006-D
  5. Juang, J.N. and Pappa, R.S. (1985), "An eigensystem realization algorithm for modal parameter identification and model reduction", J. Guidance, Control, and Dynamics, 8(5), 620-627. https://doi.org/10.2514/3.20031
  6. Li, G.H. (1996), Stability and Vibration of Bridge Structures, Beijing, China, (in Chinese).
  7. Overschee, P.V. (1991), "Subspace algorithms for the stochastic identification problem", Proc. the 30th Conference on Decision and Control, Brighton, England, Dec., 1321-1326.
  8. Peters, B. (1999), "Reference-based stochastic subspace identification for out-put only modal analysis", Mechanical Systems and Signal Processing, 13(6), 855-878. https://doi.org/10.1006/mssp.1999.1249
  9. Sarkar, P.P. (1994), "Identification of aeroelastic parameters of flexible bridges", J. Eng. Mech., ASCE, 120(8), 1718-1741. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:8(1718)
  10. Scanlan, R.H. (1978), "Bridge flutter derivatives", J. Eng. Mech., ASCE, 104(4), 719-733.
  11. Scanlan, R.H. (1977), "Motion of suspended bridge spans under gusty wind", J. the Struct. Div., Sep., 1867-1883.
  12. Simiu, E. and Scanlan, R.H. (1986), Wind Effects On Structures(3rd edition), John Wiley, New Jersey.
  13. Song, J.Z. (2003), "Experimental study on the wind resistance characteristics of Hong-guang cable-supported bridge in Liu-zhou(part. 3): Section model wind tunnel test", Experimental report of State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Mar. (in Chinese).

Cited by

  1. Methods for flutter stability analysis of long-span bridges: a review vol.170, pp.4, 2017, https://doi.org/10.1680/jbren.15.00039
  2. Some important aspects of wind-resistant studies on long-span bridges vol.55, pp.12, 2012, https://doi.org/10.1007/s11431-012-5011-6
  3. Identification of flutter derivatives of bridge decks using stochastic search technique vol.9, pp.6, 2006, https://doi.org/10.12989/was.2006.9.6.441
  4. Across-wind loads of typical tall buildings vol.92, pp.13, 2004, https://doi.org/10.1016/j.jweia.2004.06.004
  5. Direct Approach to Extracting 18 Flutter Derivatives of Bridge Decks and Vulnerability Analysis on Identification Accuracy vol.28, pp.3, 2015, https://doi.org/10.1061/(ASCE)AS.1943-5525.0000413
  6. Across-wind loads and effects of super-tall buildings and structures vol.54, pp.10, 2011, https://doi.org/10.1007/s11431-011-4543-5
  7. Comparisons of bridges flutter derivatives and generalized ones vol.3, pp.3, 2009, https://doi.org/10.1007/s11709-009-0042-1
  8. Determination of flutter derivatives by a taut strip model vol.95, pp.9-11, 2007, https://doi.org/10.1016/j.jweia.2007.02.018
  9. Identification of 18 flutter derivatives by covariance driven stochastic subspace method vol.9, pp.2, 2006, https://doi.org/10.12989/was.2006.9.2.159
  10. Wind-induced self-excited vibrations of a twin-deck bridge and the effects of gap-width vol.10, pp.5, 2007, https://doi.org/10.12989/was.2007.10.5.463
  11. On the limit cycles of aeroelastic systems with quadratic nonlinearities vol.30, pp.1, 2008, https://doi.org/10.12989/sem.2008.30.1.067
  12. Effect of rain on flutter derivatives of bridge decks vol.11, pp.3, 2008, https://doi.org/10.12989/was.2008.11.3.209
  13. Effects of frequency ratio on bridge aerodynamics determined by free-decay sectional model tests vol.12, pp.5, 2004, https://doi.org/10.12989/was.2009.12.5.413
  14. Identification of flutter derivatives from full-scale ambient vibration measurements of the Clifton Suspension Bridge vol.14, pp.3, 2004, https://doi.org/10.12989/was.2011.14.3.221
  15. Extraction of bridge aeroelastic parameters by one reference-based stochastic subspace technique vol.14, pp.5, 2004, https://doi.org/10.12989/was.2011.14.5.413
  16. Examination of experimental errors in Scanlan derivatives of a closed-box bridge deck vol.26, pp.4, 2004, https://doi.org/10.12989/was.2018.26.4.231
  17. Dynamic Performance of a Slender Truss Bridge Subjected to Extreme Wind and Traffic Loads Considering 18 Flutter Derivatives vol.32, pp.6, 2004, https://doi.org/10.1061/(asce)as.1943-5525.0001068
  18. Experimental Uncertainty Quantification of Flutter Derivatives for a PK Section Girder and Its Application on Probabilistic Flutter Analysis vol.25, pp.7, 2004, https://doi.org/10.1061/(asce)be.1943-5592.0001567
  19. Wind engineering for high-rise buildings: A review vol.32, pp.3, 2004, https://doi.org/10.12989/was.2021.32.3.249