Aerodynamic Instability Of Slender Structures Subjected To Wind Action

Abstract

Atmospheric wind close to the ground surface may usually be modelled as a
Gaussian stationary random process. The expected value and the power spectral density
function are used to characterize this process. In previous works, has been developed a
scheme of structural analysis that incorporates the wind action for a Monte Carlo simulation
procedure of a Gaussian stationary random process, correlated in vertical sense. A numerical
integration method is used in the frequency domain. As structure model a general formulation
of beams is adopted with constitutive law general linear viscoelastic. Besides, the fast Fourier
transform (FFT) algorithm is used to work in the frequency domain. The focus is particularly
appropriate for the determination of the dynamic response of towers and chimneys to the
longitudinal wind action, having been employed with excellent results to obtain the response
of structures excited by the atmospheric turbulence, for which experimental evidence exists in
the specialized literature. In this paper the model is extended for the determination of field
matrix in the state space formulation, considering the linearized equations of motion for the
effect of fluid-structure interaction.