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The use of linear stochastic estimation for the reduction of data in the NIST aerodynamic database

  • Chen, Y. (Alan G. Davenport Wind Engineering Group, Boundary Layer Wind Tunnel Laboratory, The University of Western Ontario) ;
  • Kopp, G.A. (Alan G. Davenport Wind Engineering Group, Boundary Layer Wind Tunnel Laboratory, The University of Western Ontario) ;
  • Surry, D. (Alan G. Davenport Wind Engineering Group, Boundary Layer Wind Tunnel Laboratory, The University of Western Ontario)
  • Received : 2002.08.15
  • Accepted : 2003.02.10
  • Published : 2003.04.25

Abstract

This paper describes a simple and practical approach through the application of Linear Stochastic Estimation (LSE) to reconstruct wind-induced pressure time series from the covariance matrix for structural load analyses on a low building roof. The main application of this work would be the reduction of the data storage requirements for the NIST aerodynamic database. The approach is based on the assumption that a random pressure field can be estimated as a linear combination of some other known pressure time series by truncating nonlinear terms of a Taylor series expansion. Covariances between pressure time series to be simulated and reference time series are used to calculate the estimation coefficients. The performance using different LSE schemes with selected reference time series is demonstrated by the reconstruction of structural load time series in a corner bay for three typical wind directions. It is shown that LSE can simulate structural load time series accurately, given a handful of reference pressure taps (or even a single tap). The performance of LSE depends on the choice of the reference time series, which should be determined by considering the balance between the accuracy, data-storage requirements and the complexity of the approach. The approach should only be used for the determination of structural loads, since individual reconstructed pressure time series (for local load analyses) will have larger errors associated with them.

Keywords

References

  1. Adrian, R.J. (1975), "On the role of conditional averages in turbulence theory", Turbulence in Liquids: Proc. Fourth Biennial Symp. on Turb. in Liquids, September. J. Zakin and G. Patterson (Eds), Science Press, Princeton, 323-332, 1977.
  2. Adrian, R.J. and Moin, P. (1988), "Stochastic estimation of organized turbulent structure: homogeneous shear flow", J. Fluid Mech., 190, 531-559. https://doi.org/10.1017/S0022112088001442
  3. Adrian, R.J., Jones, B.G., Chung, M.K., Hassan, Y., Nithianandan, C.K., and Tung, A.T.C. (1989), "Approximation of turbulent conditional averages by stochastic estimation", Phys. Fluids, 1(6).
  4. Adrian, R.J. (1994), "Stochastic estimation of conditional structure: a review", App. Sci. Res., 53, 291-303. https://doi.org/10.1007/BF00849106
  5. ASCE Standard 7-98 (2000), Minimum Design Loads for Buildings and Other Structures, Revision of ANSI/ ASCE 7-95, American Society of Civil Engineers, Reston, Virginia.
  6. Bienkiewicz, B., Tamura, Y., Ham, H.J., Ueda, H. and Hibi, K. (1995), "Proper orthogonal decomposition and reconstruction of multi-channel roof pressure", J. Wind Eng. Ind. Aerod., 54/55, 369-381. https://doi.org/10.1016/0167-6105(94)00066-M
  7. Chen, Y. (2002). "Time series simulation of wind-induced pressures on low buildings", Ph.D. thesis, Department of Civil and Environmental Engineering, The University of Western Ontario, London, Ontario, Canada.
  8. Chen, Y., Kopp, G.A. and Surry, D. (2002a), "Interpolation of wind-induced pressure time series with an artificial neural network", J. Wind Eng. Ind. Aerod., 90, 589-615. https://doi.org/10.1016/S0167-6105(02)00155-1
  9. Chen, Y., Kopp, G.A. and Surry, D. (2002b), "Interpolation of pressure time series in an aerodynamic database for low buildings", submitted to J. Wind Eng. Ind. Aerod.
  10. Chen, Y., Kopp, G.A. and Surry, D. (2003), "Prediction of (to appear) pressure coefficients on roofs of low buildings using artificial neural networks", J. Wind Eng. Ind. Aerod., 91, 423-441. https://doi.org/10.1016/S0167-6105(02)00381-1
  11. Cook, N.J. (1985), The designer's guide to wind loading of building structure: Part 1, Butterworths, Building Research Establishment Report.
  12. Delville, J., Lamballais, E. and Bonnet, J.-P. (2000), "POD, LODS and LSE : their links to control and simulations of mixing layers", ERCOFTAC Bulletin, 46, 29-38.
  13. Druault, P., Lamballais, E., Delville, J. and Bonnet, J.P. (1999), "Development of experiment/simulation interfaces for hybrid turbulent results analysis via the use of DNS", Proc. 1st Int. Symp. Turb. Shear Flow Phenomena, Santa Barbara, California, 779-784.
  14. Giralt, F., Arenas, A., Ferre-Giné, J., Rallo, R. and Kopp, G.A. (2000), "The simulation and interpretation of turbulence with a cognitive neural system", Phys. Fluids, 12, 1826-1835. https://doi.org/10.1063/1.870430
  15. Ho, T.C.E, Surry, D., Morrish, D., and Kopp, G.A. (2002), "The NIST aerodynamic database for wind loads on low buildings: Part 1. Basic aerodynamic data and archiving", under preparation.
  16. Holmes, J.D. and Syme, M.J. (1994), "Wind loads on steel-framed low-rise buildings", Steel Construction, 28(4), 2-12.
  17. Kasperski, M. (1992), "Extreme wind load distributions for linear and nonlinear design", Eng. Struct., 14, 27-34. https://doi.org/10.1016/0141-0296(92)90005-B
  18. Papoulis, A. (1984). Probability, Random Variables and Stochastic Theory (2nd Edn.), McGraw-Hill, New York.
  19. Peneau, F., Faghani, D. and Boisson, H.C. (2000), "Linear stochastic estimation of velocity entrance signals for a L.E.S. of a turbulent flat plate boundary layer", ERCOFTAC Bulletin, 46, 39-43.
  20. Rigato, A., Chang, P. and Simiu, E. (2001), "Database-assisted design, standardization and wind direction effects", ASCE J. Struct. Eng., 127(8), 855-860. https://doi.org/10.1061/(ASCE)0733-9445(2001)127:8(855)
  21. Sadek, F. and Simiu, E. (2002), "Peak non-Gaussian wind effects for database-assisted low-rise building design", ASCE J. Eng. Mech., 128(5), 530-539. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:5(530)
  22. Simiu, E. and Stathopoulos, T. (1997), "Codification of wind loads on buildings using bluff body aerodynamics and climatological data base", J. Wind Eng. Ind. Aerod., 69-71, 497-506. https://doi.org/10.1016/S0167-6105(97)00180-3
  23. Stathopoulos, T. (1979). "Turbulent wind action on low-rise buildings", Ph.D Dissertation, Department of Civil and Environmental Engineering, The University of Western Ontario, London, Ontario, Canada.
  24. Tung, T.C. and Adrian, R.J. (1980), "Higher-order estimates of conditional eddies in isotropic turbulence", Phys. Fluids, 23(7), 1469-1470. https://doi.org/10.1063/1.863130
  25. Walpole, R.E. and Myers, R.H. (1985), Probability and Statistics for Engineering and Scientists (3rd Edn.), Macmillan Publishing Company, New York.
  26. Whalen, T., Simiu, E., Harris, G., Lin, J. and Surry, D. (1998), "The use of aerodynamic databases for the effective estimation of wind effects in main wind-force resisting systems: application to low buildings", J. Wind Eng. Ind. Aerod., 77-78, 685-693. https://doi.org/10.1016/S0167-6105(98)00183-4

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