Gust buffeting and turbulence uncertainties

Abstract Literature on turbulence modeling is rich in empirical, semi-empirical and theoretical spectral equations whose parameters assume deterministic values. Starting from a critical review of the state of the art, a unitary model of the 3-D atmospheric turbulence was proposed where all parameters are defined by first- and second-order statistical moments derived from a wide selection of experimental measurements. Analyses based on Monte Carlo simulation of the model parameters show that the propagation of turbulence uncertainties over the wind-excited response of structures gives rise to a relevant scatter. The passage from Monte Carlo simulations to Taylor series expansions addressed to apply the first-order second-moment technique provides systematic rules to deal with the structural response in a full probabilistic environment. It also allows appreciation of the role of each uncertain parameter. The joint application of this procedure and a closed form solution of the response drastically reduces the computational burden and makes these analyses operatively possible. The proposed approach is a step forward towards the formulation of a unitary probabilistic model of the wind-excited response of structures, comprehensive of model errors, parameter uncertainties and parameter randomness.

[1]  Giovanni Solari,et al.  Analytical methods for estimating the wind-induced response of structures , 2001 .

[2]  Giovanni Solari,et al.  Generalized equivalent spectrum technique , 1998 .

[3]  Ahsan Kareem,et al.  Reliability analysis of wind-sensitive structures , 1990 .

[4]  Luisa-Carlotta Pagnini,et al.  Model reliability and propagation of frequency and damping uncertainties in the dynamic along-wind response of structures , 1996 .

[5]  Luisa Pagnini,et al.  A numerical algorithm for the aerodynamic identification of structures , 1997 .

[6]  Kamal Rojiani,et al.  Reliability of Steel Buildings under Winds , 1981 .

[7]  Giovanni Solari,et al.  Mathematical model to predict 3-D wind loading on buildings , 1985 .

[8]  Giovanni Solari,et al.  Serviceability criteria for wind-induced acceleration and damping uncertainties , 1998 .

[9]  Giovanni Solari,et al.  Evaluation and role of damping and periods for the calculation of structural response under wind loads , 1996 .

[10]  A. M. Hasofer,et al.  Exact and Invariant Second-Moment Code Format , 1974 .

[11]  Giovanni Solari,et al.  Closed form prediction of 3-D wind-excited response of slender structures , 1998 .

[12]  Giovanni Solari,et al.  Wind-excited response of structures with uncertain parameters , 1997 .

[13]  A. Kareem.  Wind effects on structures: a probabilistic viewpoint , 1987 .

[14]  G. Solari,et al.  Probabilistic 3-D turbulence modeling for gust buffeting of structures , 2001 .

[15]  Ove Ditlevsen,et al.  Uncertainty modeling with applications to multidimensional civil engineering systems , 1981 .

[16]  Giovanni Solari,et al.  3D Wind-Excited Response of Slender Structures: Closed-Form Solution , 2000 .

[17]  F. P. Müller,et al.  Measurements of wind-induced vibrations on a concrete chimney , 1975 .