Wind and Structures

Techno-Press (테크노프레스)
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Understanding of unsteady pressure fields on prisms based on covariance and spectral proper orthogonal decompositions

  • Hoa, Le Thai (Wind Engineering Research Center, Tokyo Polytechnic University) ;
  • Tamura, Yukio (Department of Architectural Engineering, Tokyo Polytechnic University) ;
  • Matsumoto, Masaru (Department of Civil Engineering, Kyoto University) ;
  • Shirato, Hiromichi (Department of Civil Engineering, Kyoto University)
  • Received : 2011.09.03
  • Accepted : 2012.05.23
  • Published : 2013.05.01
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Abstract

This paper presents applications of proper orthogonal decomposition in both the time and frequency domains based on both cross spectral matrix and covariance matrix branches to analyze multi-variate unsteady pressure fields on prisms and to study spanwise and chordwise pressure distribution. Furthermore, modification of proper orthogonal decomposition is applied to a rectangular spanwise coherence matrix in order to investigate the spanwise correlation and coherence of the unsteady pressure fields. The unsteady pressure fields have been directly measured in wind tunnel tests on some typical prisms with slenderness ratios B/D=1, B/D=1 with a splitter plate in the wake, and B/D=5. Significance and contribution of the first covariance mode associated with the first principal coordinates as well as those of the first spectral eigenvalue and associated spectral mode are clarified by synthesis of the unsteady pressure fields and identification of intrinsic events inside the unsteady pressure fields. Spanwise coherence of the unsteady pressure fields has been mapped the first time ever for better understanding of their intrinsic characteristics.

Keywords

References

  1. Berkooz, G., Holmes, P. and Lumley, J.L. (1993), "The proper orthogonal decomposition in the analysis of turbulent flows, Annu. Rev. Fluid Mech., 25, 539-575. https://doi.org/10.1146/annurev.fl.25.010193.002543
  2. Bienkiewicz, B., Tamura,Y., Ham, H.J., Ueda, H. and Hibi, K. (1995), "Proper orthogonal decomposition and construction of multi-channel roof pressure", J. Wind Eng. Ind. Aerod., 54-55, 369-381. https://doi.org/10.1016/0167-6105(94)00066-M
  3. Carassale, L., Solari, G. and Tubino, F. (2007), "Proper orthogonal decomposition in wind engineering. Part 2: Theoretical aspects and some application", Wind Struct., 10(2), 177-208. https://doi.org/10.12989/was.2007.10.2.177
  4. Davenport, A.G. (1963), "The response of slender, line-like structures to a gusty wind", Proc. Inst. Civil Engineers, 23, 389-408.
  5. De Grenet, E.T. and Ricciardelli, F. (2004), "Spectral proper transformation of wind pressure fluctuation: application to a square cylinder and a bridge deck", J. Wind Eng. Ind. Aerod., 92, 1281-1297. https://doi.org/10.1016/j.jweia.2004.08.005
  6. Hillier, R. and Cherry, N.J. (1981), "The effects of stream turbulence on separation bubbles", J. Wind Eng. Ind. Aerod., 8, 49-58. https://doi.org/10.1016/0167-6105(81)90007-6
  7. Holmes, J.D., Sankaran, R., Kwok, K.C.S. and Syme, M.J. (1997), "Eigenvector modes of fluctuating pressures on low-rise building models", J. Wind Eng Ind. Aerod., 69-71, 697-707. https://doi.org/10.1016/S0167-6105(97)00198-0
  8. Jakobsen, J.B. (1997), "Span-wise structure of lift and overturning moment on a motionless bridge girder", J. Wind Eng. Ind. Aerod., 69-71, 795-805. https://doi.org/10.1016/S0167-6105(97)00206-7
  9. Jeong, S.H., Bienkiewicz, B. and Ham, H.J. (2000), "Proper orthogonal decomposition of building wind pressure specified at non-uniform distributed pressure taps", J. Wind Eng.Ind. Aerod., 87, 1-14. https://doi.org/10.1016/S0167-6105(00)00012-X
  10. Kareem, A. (1997), "Correlation structure of random pressure fields", J. Wind Eng. Ind. Aerod., 69-71, 507-516. https://doi.org/10.1016/S0167-6105(97)00181-5
  11. Kikuchi, H., Tamura, Y., Ueda, H. and Hibi, K. (1997), "Dynamic wind pressure acting on a tall building model - Proper orthogonal decomposition", J. Wind Eng. Ind. Aerod., 69-71, 631-646. https://doi.org/10.1016/S0167-6105(97)00193-1
  12. Kimura, K., Fujino, Y., Nakato, S. and Tamura, H. (1997), "Characteristics of buffeting forces on plat cylinders", J. Wind Eng. Ind. Aerod., 69-71, 365-374 https://doi.org/10.1016/S0167-6105(97)00169-4
  13. Larose, G.L. (1996), "The span-wise coherence of wind forces on streamlined bridge decks", Proceedings of the 3rd Int'l Colloquium on Bluff Body Aerodynamics and Applications, Blacksburg, USA.
  14. Le, T.H, Matsumoto, M. and Shirato, H. (2009), "Spanwise coherent structure of wind turbulence and induced pressure on rectangular cylinders", Wind Struct., 12(5), 441-455. https://doi.org/10.12989/was.2009.12.5.441
  15. Le, T.H, Tamura, Y. and Matsumoto, M. (2011), "Spanwise pressure coherence on prisms using wavelet transform and spectral proper orthogonal decomposition based tools", J. Wind Eng. Ind. Aerod., 99, 499-508. https://doi.org/10.1016/j.jweia.2011.01.008
  16. Liang, Y.C., Lee, P., Lim, W.Z., Lee, K. and Wu, C.G. (2002), "Proper orthogonal decomposition and its applications - Part I: Theory', J. Sound Vib., 252(3), 527-544. https://doi.org/10.1006/jsvi.2001.4041
  17. Lumley, J.L. (1970), Stochastic tools in turbulence, Academic Press.
  18. Matsumoto, M., Shirato, H., Araki, K., Haramura, T. and Hashimoto, T. (2003), "Spanwise coherence characteristics of surface pressure field on 2-D bluff bodies", J. Wind Eng. Ind. Aerod., 91,155-163. https://doi.org/10.1016/S0167-6105(02)00342-2
  19. Solari, G., Carassale, L. and Tubino, F. (2007), "Proper orthogonal decomposition in wind engineering. Part 1: A state-of-the-art and some aspects", Wind Struct., 10(2), 153-176. https://doi.org/10.12989/was.2007.10.2.153
  20. Tamura, Y., Ueda, H., Kikuchi, H., Hibi, K., Suganuma, S. and Bienkiewicz, B. (1997), "Proper orthogonal decomposition study of approach wind-building pressure correlation", J. Wind Eng. Ind. Aerod., 72, 421-431. https://doi.org/10.1016/S0167-6105(97)00270-5
  21. Tamura, Y., Suganuma, S., Kikuchi, H. and Hibi, K. (1999), "Proper orthogonal decomposition of random wind pressure field", J. Fluid. Struct., 13(7-8), 1069-1095. https://doi.org/10.1006/jfls.1999.0242

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