DOI QR코드

DOI QR Code

Probability distribution and statistical moments of the maximum wind velocity

  • Schettini, Evelia (DISEG, Department of Structural and Geotechnical Engineering, University of Genova) ;
  • Solari, Giovanni (DISEG, Department of Structural and Geotechnical Engineering, University of Genova)
  • Published : 1998.12.25

Abstract

This paper formulates a probabilistic model which is able to represent the maximum instantaneous wind velocity. Unlike the classical methods, where the randomness is circumscribed within the mean maximum component, this model relies also on the randomness of the maximum value of the turbulent fluctuation. The application of the FOSM method furnishes the first and second statistical moments in closed form. The comparison between the results herein obtained and those supplied by classical methods points out the central role of the turbulence intensity. Its importance is exalted when extending the analysis from the wind velocity to the wind pressure.

Keywords

References

  1. Ballio G., Lagomarsino S., Piccardo G. and G. Solari (1997), "The new Italian map of extreme wind speeds" , Proc., 2nd European & African Conf. on Wind Engrg., 2 EACWE, Genova, Italy, 1, 163- 170.
  2. Benjamin J.R. and A. Cornell (1970), Probability, Statistics and Decision for Civil Engineers, McGrawHill, New York.
  3. Conradsen K., Nielsen L.B. and L.P. Prahm (1984), "Review of Weibull statistics for estimation of wind speed distributions", J. Clim. Appl. Met., 23, 1173-1183. https://doi.org/10.1175/1520-0450(1984)023<1173:ROWSFE>2.0.CO;2
  4. Davenport, A.G. (1961), "The spectrum of horizontal gustiness near the ground in high winds", Quart. J. Roy. Meteor. Soc., 87, 191-211.
  5. Davenport, A.G. (1964), "Note on the distribution of the largest value of a random function with application to gust loading", Proc. Inst. Civil Engrg, London, U.K., 24, 187-196.
  6. Davenport, A.G. (1967), "The dependence of wind loads on meteorological parameters", Proc., Int. Res. Sem. on Wind Effects on Build. and Struct., Ottawa, Canada, 1, 19-82.
  7. Ditlevsen O. (1981), "Uncertainty modeling with applications to multidimensional civil engineering systems" , McGraw Hill, New York.
  8. Gomes L. and B.J. Vichery (1977), "On the prediction of extreme wind speeds from the parent distribution" , J. Wind Engrg. Ind. Aerod., 2, 21-36. https://doi.org/10.1016/0167-6105(77)90003-4
  9. Gomes, L. and Vickery, B.J. (1977/1978). "Extreme wind speeds in mixed climates", J. Ind. Aerod., 2, 331-344. https://doi.org/10.1016/0167-6105(78)90018-1
  10. Gumbel E.J. (1958), Statistics of Extremes, Columbia University Press, New York.
  11. Kareem A. (1987), "Wind effects on structures: a probabilistic viewpoint", Prob. Engng. Mech., 2, 166- 200. https://doi.org/10.1016/0266-8920(87)90009-9
  12. Kasperski, M. (1998). "Climate change and design wind load concepts", Wind and Structures, 1(2), 145-160. https://doi.org/10.12989/was.1998.1.2.145
  13. Lagomarsino S., Piccardo G. and G. Solari (1992), "Statistical analysis of high return period wind speeds" , J. Wind Engrg. Ind. Aerod., 41, 485-496. https://doi.org/10.1016/0167-6105(92)90452-G
  14. Schettini, E. (1996), "Probabilistic analysis of wind actions on structures" , Ph.D. Thesis, University of Genova, Genova, Italy (in Italian).
  15. Schettini, E. and G. Solari (1998), "Probabilistic modelling of maximum wind pressure on structures" , J. Wind Engng. Ind. Aerod., 74-76, 1111-1121. https://doi.org/10.1016/S0167-6105(98)00102-0
  16. Solari, G. (1993), "Gust buffeting. I: Peak wind velocity and equivalent pressure" , J. Struct. Engrg., ASCE, 119, 365-382. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:2(365)
  17. Solari G. (1996a), "Wind speed statistic", in C.F. Ratto and D.P. Lalas (Eds.), Modelling of the Atmospheric Flow Fields, World Scientific Publishing, Singapore, 637-657.
  18. Solari G. (1996b), "Statistical analysis of extreme wind speeds", in C.F. Ratto and D.P. Lalas (Eds.), Modelling of the Atmospheric Flow Fields, World Scientific Publishing, Singapore, 659-678.
  19. Solari G. (1996c), "Evaluation and role of damping and periods for the calculation of structural response under wind loads", J. Wind Engrg. Ind. Aerod., 59, 191-210. https://doi.org/10.1016/0167-6105(96)00007-4
  20. Solari G. (1997), "Wind-excited response of structures with uncertain parameters", Prob. Engng. Mech., 12, 75-87. https://doi.org/10.1016/S0266-8920(96)00027-6
  21. Takle E.S. and J.M. Brown (1978), "Note on the use of Weibull statistics to characterize wind speed data", J. Appl. Met., 17, 556-559. https://doi.org/10.1175/1520-0450(1978)017<0556:NOTUOW>2.0.CO;2
  22. Van der Hoven, I. (1957), "Power spectrum of horizontal wind speed in the frequency range from 0.0007 to 900 cycles per hour", J. Meteor., 14, 160-164. https://doi.org/10.1175/1520-0469(1957)014<0160:PSOHWS>2.0.CO;2
  23. Weibull W. (1951), "A statistical distribution function of wide applicability" , J. Appl. Mech., 18, 293- 297.