DOI QR코드

DOI QR Code

Analysis of the wind loading of square cylinders using covariance proper transformation

  • de Grenet, Enrico T. (Department of Civil Engineering, University of Florence) ;
  • Ricciardelli, Francesco (Department of Mechanics and Materials, University of Reggio Calabria)
  • Received : 2003.03.07
  • Accepted : 2003.11.28
  • Published : 2004.04.25

Abstract

In this paper the capacity of Covariance Proper Transformation (CPT) analyses to provide information about the wind loading mechanisms of bluff bodies is investigated through the application to square cylinders. CPT is applied to the fluctuating pressure distributions on a single cylinder, as well as on a pair of cylinders in the tandem and side by side arrangements, with different separations. Both smooth and turbulent flow conditions are considered. First, through the analysis of the contributions of each CPT mode to the total fluctuating aerodynamic forces, a correspondence between modes and aerodynamic components is sought, which is then verified through examination of the mode shapes. When a correspondence between modes and aerodynamic components is found, an attempt is made to separate the different frequency contributions to the aerodynamic forces, provided by each mode. From the analyses it emerges that (a) in most cases each mode is associated to one single force component, that (b) retaining a limited number of modes allows reproducing the aerodynamic forces with a rather good accuracy, and that (c) each mode is mainly associated with one frequency of excitation.

Keywords

References

  1. Baker, C. (2000), "Aspect of the use of proper orthogonal decomposition of surface pressure fields", Wind Struct., An Int. J., 3(2), 97-115. https://doi.org/10.12989/was.2000.3.2.097
  2. Baker, C. (2001), "Unsteady wind loading on a wall", Wind Struct., An Int. J., 4(5), 413-440. https://doi.org/10.12989/was.2001.4.5.413
  3. 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. Aerodyn., 69-71, 697-707. https://doi.org/10.1016/S0167-6105(97)00198-0
  4. Kikuchi, H., Tamura, Y., Ueda, H. and Hibi, K. (1997), "Dynamic wind pressures on a tall building model - proper orthogonal decomposition", J. Wind Eng. Ind. Aerodyn., 69-71, 631-646. https://doi.org/10.1016/S0167-6105(97)00193-1
  5. Lee, B.E. (1975), "The effect of turbulence on the surface pressure field of a square prism", J. Fluid Mech., 69, 263-282. https://doi.org/10.1017/S0022112075001437
  6. Ricciardelli, F. (1994), "Aerodynamics of a pair of square cylinders", MESc Thesis, The University of Western Ontario, London, Canada.
  7. Ricciardelli, F. and Vickery, B.J. (1994), "Wind loads on a pair of long prisms of square cross section", Proc. 3rd Italian Nat. Conf. Wind Eng. IN-VENTO-1994, Rome, Italy.
  8. Ricciardelli, F. and Vickery, B.J. (1998), "The aerodynamic characteristics of twin column, high rise bridge towers", Wind Struct. An Int. J., 1(3), 225-241. https://doi.org/10.12989/was.1998.1.3.225
  9. Ricciardelli, F., de Grenet, E.T. and Solari, G. (2002), "Analysis of the wind loading of a bridge deck box section using Proper Orthogonal decomposition", Proc. 3rd East European Conf. Wind Eng., Kiev, Ukraine.
  10. Solari, G. and Carassale, L. (2000), "Modal transformation tools in structural dynamics and wind engineering", Wind Struct., An Int. J., 3(4), 221-241. https://doi.org/10.12989/was.2000.3.4.221
  11. 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. Aerodyn., 72, 421-431. https://doi.org/10.1016/S0167-6105(97)00270-5
  12. Tamura, Y., Suganuma, S., Kikuchi, H. and Hibi, K. (1999), "Proper orthogonal decomposition of random wind pressure field", J. Fluid and Struct., 13, 1069-1095. https://doi.org/10.1006/jfls.1999.0242

Cited by

  1. Spectral proper transformation of wind pressure fluctuations: application to a square cylinder and a bridge deck vol.92, pp.14, 2004, https://doi.org/10.1016/j.jweia.2004.08.005
  2. Wind tunnel investigations on aerodynamics of a 2:1 rectangular section for various angles of wind incidence vol.25, pp.3, 2017, https://doi.org/10.12989/was.2017.25.3.301