Architectural research

Architectural Institute of Korea (대한건축학회)
권호 표지

Damping Identification Analysis of Membrane Structures under the Wind Load by Wavelet Transform

  • Received : 2008.09.08
  • Published : 2009.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we take advantage of Wavelet Transform to identify damping ratios of membrane structures under wind action. Due to the lightweight and flexibility of membrane structures, they are very sensitive to the wind load, and show a type of fluid-structure interaction phenomenon simultaneously. In this study, we firstly obtain the responses of an air-supported membrane structure by ADINA with the consideration of this characteristic, and then conduct Wavelet Transform on these responses. Based on the Wavelet Transform, damping ratios could be obtained from the slope of Wavelet Transform in a semi-logarithmic scale at a certain dilation coefficient. According to this principle, damping ratios could eventually be obtained. There are two numerical examples in this study. The first one is a simulated signal, which is used to verify the accuracy of the Wavelet Transform method. The second one is an air-supported membrane structure under wind action, damping ratios obtained from this method is about 0.05~0.09. The Wavelet Transform method could be regarded as a very good method for the the damping analysis, especially for the large spatial structures whose natural frequencies are closely spaced.

Keywords

References

  1. Swaddiwudhipong, S. and Khan, M. S. (2002) "Dynamic Response of Wind-Excited Building using CFD."Journal of Sound and Vibration, 253(4):735-754 https://doi.org/10.1006/jsvi.2000.3508
  2. GlÜck, M., Breuer, M., Durst, F., Halfmann, A. and Rank, E. (2003) "Computation of Wind-Induced Vibrations of Flexible Shells and Membraneous Structures." Journal of Fluids and Structures, 17: 739-765 https://doi.org/10.1016/S0889-9746(03)00006-9
  3. Teixeira, P. R. F. and Awruch A. M. (2005) "Numerical Simulation of Fluid–-Structure Interaction using the Finite Element Method." Computers & Fluids, 34: 249–-273 https://doi.org/10.1016/j.compfluid.2004.03.006
  4. Junji Katagiri, Hisao Marukawa, Akira Katsumura and Kunio Fujii (1998) "Effects of Structural Damping and Eccentricity on Wind Responses of High-Rise Buildings." Journal of Wind Engineering and Industrial Aerodynamics, 74-76:731-7 https://doi.org/10.1016/S0167-6105(98)00066-X
  5. Staszewski, W. J. (1997) "Identification of Damping in MDOF Systems using Time-Scale Decomposition." Journal of Sound and Vibration, 203(2):283-305 https://doi.org/10.1006/jsvi.1996.0864
  6. Staszewski, W. J. (1998) "Identification of Nonlinear Systems using Multi-Scale Ridges and Skeletons of the Wavelet Transform." Journal of Sound and Vibration, 214(4):639-658 https://doi.org/10.1006/jsvi.1998.1616
  7. Kareem, A. and Kijewski, T. (2002) "Time-Frequency Analysis of Wind Effects on Structures." Journal of Wind Engineering and Industrial Aerodynamics, 90:1435-1452 https://doi.org/10.1016/S0167-6105(02)00263-5
  8. Kareem, A. and Kijewski, T. (2002) "Wavelet Transforms for System Identification in Civil Engineering." Computer-Aided Civil and Infrastructure Engineering,18:339-355 https://doi.org/10.1111/1467-8667.t01-1-00312
  9. Joseph Lardies and Stephane Gouttebroze (2002) "Identification of Modal Parameters using the Wavelet Transforms." International Journal of Mechanical Sciences, 44:2263-2283 https://doi.org/10.1016/S0020-7403(02)00175-3
  10. Meo, M., Zumpanoa, G., Meng, Xiaolin, Cosser Emily, Roberts Gethin and Dodson Alan (2006) "Measurements of Dynamic Properties of a Medium Span Suspension Bridge by using the Wavelet Transforms." Mechanical Systems and Signal Processing, 20:1112-1133 https://doi.org/10.1016/j.ymssp.2004.09.008
  11. Charles, K. C. (1992) An Introduction to Wavelets. San Diego: Academic press
  12. Grossman, A. and Morlet, J. (1985) Decomposition of Functions into Wavelets of Constant Shape and Related Transforms. In Mathematics and Physics, Lecture on Recent Results, Singapore: World Scientific
  13. Simiu, E. and Scanlan, R. H. (1986) Wind Effects on Structure. New York: John Wiley and Sons Inc
  14. Theory and Modeling Guide. I & II. ADINA and ADINAF, ADINA R & D, Inc