Analysis of structures subjected to random wind loading by simulation in the frequency domain

Abstract The closely related methods of transfer matrices and direct numerical integration have been extensively used in the analysis of free standing structures. In case of structures subjected to dynamic loading, the method is particularly suitable to analysis in the frequency domain, enabling the consideration of arbitrary linear time-dependent material behaviour without additional difficulties. In this paper, a method is proposed to simulate stationary random processes in the frequency domain and it is applied for analysis of structures under along-wind action. The method requires less computational effort than standard procedures to obtain the power spectral density function of response quantities of interest and, since the solutions are obtained by simulation, may be extended to include in the formulation some types of non-linearity. Furthermore, it can be advantageously employed in the dynamic analysis of thin-walled open section beams, for which other alternatives are rarely available. The method proposed is applied to various free-standing towers and chimneys, for which response measurements are available, allowing a direct comparison of theoretical and experimental results.

[1]  Yoshihiro Mataki,et al.  Full-scale measurements of wind actions on Chiba Port Tower , 1992 .

[2]  J. L. Waldeck The measured and predicted response of a 300 m concrete chimney , 1992 .

[3]  Gerhart I. Schuëller,et al.  Reliability of tall buildings under wind excitation: considering coupled modes and soil-structure interaction , 1989 .

[4]  H. Ruscheweyh,et al.  Measurements of wind induced vibrations of a full-scale steel chimney , 1992 .

[5]  J. D. Riera,et al.  A modified Vlasov theory for dynamic analysis of thin-walled and variable open section beams , 2000 .

[6]  Bijan Samali,et al.  Control of wind-induced tall building vibration by tuned mass dampers , 1992 .

[7]  E. F. Kurtz,et al.  Matrix methods in elastomechanics , 1963 .

[8]  Jorge Daniel Riera,et al.  Dynamic analysis of thin‐walled and variable open section beams with shear flexibility , 1995 .

[9]  Alan G. Davenport THE APPLICATION OF STATISTICAL CONCEPTS TO THE WIND LOADING OF STRUCTURES. , 1961 .

[10]  Jorge Daniel Riera,et al.  Analysis of structures subjected to random loading using the transfer matrix or numerical integration methods , 1992 .

[11]  A. Davenport The spectrum of horizontal gustiness near the ground in high winds , 1961 .

[12]  Claudio Floris,et al.  Equivalent Gaussian process in stochastic dynamics with application to along-wind response of structures , 1996 .

[13]  Yukio Tamura,et al.  Wind-induced responses of an airport tower : efficiency of tuned liquid damper , 1996 .