Abstract
Abstract. The influence of non-Gaussian modeling of the wind action on the response of MDOF structures is considered. Assuming the turbulence as a homogeneous Gaussian field, the wind action field is described by means of the correlation and bicorrelation functions. Once known the spectrum and the bispectrum (by Fourier transform), the same quantities of the structural response are obtained by frequency domain analysis. This allows to evaluate the statistic moments of the response until the third moment and to estimate the peak value distribution. The procedure is applied to analyze a broadcasting antenna. Varying the structural damping and the wind characteristics, a comparison between Gaussian and non-Gaussian modeling is performed.
Sommario. Viene studiata l'influenza della modellazione non-Gaussiana dell'azione del vento sulla risposta di strutture a più gradi di libertà. Considerando la turbolenza come un campo Gaussiano omogeneo, l'azione del vento viene descritta mediante le funzioni correlazione e bicorrelazione. Determinato poi lo spettro ed il bispettro (mediante trasformata di Fourier), le stesse grandezze relative alla risposta strutturale sono ricavate per mezzo dell'analisi nel dominio delle frequenze. È così possibile valutare i momenti statistici della risposta fino al terzo ordine e stimare la distribuzione dei valori di picco. La procedura viene applicata all'analisi della risposta di un'antenna per telecomunicazioni. Variando lo smorzamento strutturale e le caratteristiche del vento, vengono paragonate fra loro la modellazione Gaussiana e quella non-Gaussiana.
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References
Davenport, A.G., ‘The relationship of reliability to wind loading’, J. Wind Engrg Ind. Aerodynamics 1 (1983) 2–27.
Schuller, G.I., Bucher, G.G. and Prenninger, P.H.W., ‘Influence of mean wind speed, surface roughness and structural damping on the reliability of wind loaded buildings’, J. Wind Engrg Ind. Aerodynamics 30 (1988) 221–231.
Kareem, A., ‘Reliability analysis of wind-sensitive structures’, J. Wind Engrg Ind. Aerodynamics 33 (1990) 495–514.
Davenport, A.G., ‘Note on the distribution of the largest value of a random function with application to gust loading’, Proc. Inst. Civ. Engrs. 24 (1964).
Holmes, J.D., ‘Non-Gaussian characteristics of wind pressure fluctuations’, J. Wind Engrg Ind. Aerodynamics 7 (1981) 103–108.
Kareem, A. and Zhao, J., ‘Analysis of non-Gaussian surge response of tension leg platforms under wind loads’, J. Offshore Mechanics and Artic Engineering, ASME 116(3) (1994) 137–144.
Kareem, A., ‘Non-linear velocity term and response of compliant offshore structures’, J. Engrg. Mech., ASCE 110(10) (1984) 1573–1578.
Mazelsky, B., ‘Extension of power spectral methods of generalized harmonic analysis to determine nongaussian probability functions of random input disturbances and output responses linear systems’, J. Aeron. Sciences 21(13) (1954) 145–153.
Vaicaitis, R. and Simiu, E., ‘Nonlinear pressure terms and alongwind response’, J. Struct. Div., ASCE 103(ST4) (1977) 903–906.
Soize, C., ‘Gust loading factors with nonlinear pressure terms’, J. Struct. Div., ASCE 104(ST6) (1978) 991–1007.
Grigoriu, M., ‘Response of Linear Systems to Quadratic Gaussian Excitations’, J. Engrg. Mech., ASCE 112(6) (1986) 523–535.
Bucher, C.G. and Schuller, G.I., ‘Non-Gaussian response of linear systems’, In: G.I. Schuller (ed.), Recent Advances in Structural Dynamics, Springer Verlag, 1991.
Lutes, L.D., ‘Cumulants of stochastic response for linear systems’, J. Engrg. Mech., ASCE 112(10) (1986) 1062–1075.
Grigoriu, M. and Ariaratnam, S.T., ‘Response of linear systems to polynomials of Gaussian processes’, J. Engrg. Mech., ASCE 112(6) (1988) 523–535.
Floris, C., ‘Equivalent Gaussian process in stochastic dynamics with application to along-wind response of structures’, Int. J. Non-Linear Mechanics 31(5) (1996) 779–794.
Augusti, G., Gusella, V. and Materazzi, A.L., ‘Influence of non-gaussian characteristics of wind pressure on structural reliability’, In: Proc. 9th Int. Conf. Wind Engnrg, New Delhi, 1995.
Gusella, V. and Materazzi, A.L., ‘Reliability of flexible structures exposed to non-Gaussian wind pressure’, In: Proc. 6th IFIP WG 7.5 Working Conference, Assisi 1994.
Robson, J.D., ‘Note on the symmetries of higher-order correlation functions and spectral densities’, In: Random Vibration-Status and Recent Developments, Elsevier, 1986, pp. 341–8.
Soong, T.T. and Grigoriu, M., Random Vibration of Mechanical and Structural Systems, Prentice Hall, 1992.
Spanos, P.T.D., ‘Spectral moments calculation of linear system output’, J. Appl. Mech. 50 (1983) 901–903.
Gurley, K.R., Tognarelli, M.A., Kareem, A., ‘Analysis and simulation tools for wind engineering’, Prob. Engnrg. Mech. 12(1) (1997) 9–31.
Melzer, H.J., Schueller, G.I., ‘On the reliability of flexible structures under non-normal loading processes’, In: K. Henning (ed.), Proc. IUTAM-Symp. Random Vibrations and Reliability, Berlin, 1983, pp. 73–84.
Grigoriu, M., ‘Crossings of non-Gaussian translation processes’, J. Engrg. Mech. Div., ASCE 110(4) (1984) 610–620.
CEN, Eurocode 1. Part 2–5: Wind actions, ENV 1991–2–4, Brussels 1994.
Solari, G., ‘Gust buffeting. I: peak wind velocity and equivalent pressure’, J. Struct. Engrg., ASCE 119(2) (1993) 365–382.
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Gusella, V., Materazzi, A.L. Non-Gaussian Response of MDOF Wind-Exposed Structures: Analysis by Bicorrelation Function and Bispectrum. Meccanica 33, 299–307 (1998). https://doi.org/10.1023/A:1004355317308
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DOI: https://doi.org/10.1023/A:1004355317308