3D Wind-Excited Response of Slender Structures: Closed-Form Solution
Publication: Journal of Structural Engineering
Volume 126, Issue 8
Abstract
Along-wind, crosswind, and torsional vibrations of structures are different aspects of the same physical phenomenon. Despite this fact, each aspect has been the object of numerous studies involving lines of research that have frequently been independent of each other. These independent lines of research have often been characterized by notable inconsistencies and clashes. This paper proposes a single coherent formulation that provides compact expressions for estimating the along-wind, crosswind, and torsional response based on a generalized gust factor approach. It presents the wind-loading model and uses a generalized equivalent spectrum technique to derive closed-form solutions of the 3D wind-excited response of slender structures and structural elements. This extends a solution previously obtained for along-wind vibrations to the crosswind and torsional response. Numerical examples are provided that illustrate the simplicity and precision of this method. Because of this simplicity and precision, the method is suitable for use in design offices as a means of providing rapid estimates of the dynamic response of slender structures to gust buffeting actions. In particular, the estimates of the crosswind and torsional response will allow the designers to make more informed decisions on when to conduct physical model studies in boundary-layer wind tunnels.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
“Circular-cylindrical structures: Dynamic response to vortex shedding. Part I: Calculation procedures and derivation.” (1990). ESDU 85038, Engineering Sciences Data Unit, London.
2.
Davenport, A. G. (1961). “The application of statistical concepts of wind loading of structures.” Proc., Instn. Civ. Engrs., London, 19, 449–472.
3.
Davenport, A. G. (1964). “Note on the distribution of the largest value of a random function with application to gust loading.” Proc., Instn. Civ. Engrs., London, 24, 187–196.
4.
Kareem, A. (1981). “Wind-excited response of buildings in higher modes.”J. Struct. Div., ASCE, 107(4), 701–706.
5.
Kareem, A. (1985). “Lateral-torsional motion of tall buildings.”J. Struct. Engrg., ASCE, 111(11), 2479–2496.
6.
Müller, F. P., and Nieser, H. (1976). “Measurements of wind-induced vibrations on a concrete chimney.” J. Industrial Aerodynamics, Elsevier, Amsterdam, 1, 239–248.
7.
Piccardo, G., and Solari, G. (1995). “Mathematical solution of 3-D response of slender structures to wind action.” Proc., 9th Int. Conf. on Wind Engrg., Wiley, New Delhi, 1317–1328.
8.
Piccardo, G., and Solari, G. (1996). “A refined model for calculating 3-D equivalent static wind forces on structures.” J. Wind Engrg. and Industrial Aerodynamics, Elsevier, Amsterdam, 65, 21–30.
9.
Piccardo, G., and Solari, G. (1998a). “Generalized equivalent spectrum technique.” Wind Struct., Techno-Press, Taejon, Korea, 1(2), 161–174.
10.
Piccardo, G., and Solari, G. (1998b). “Closed form prediction of the 3-D wind-excited response of slender structures.” J. Wind Engrg. and Industrial Aerodynamics, Elsevier, Amsterdam, 74–76, 697–708.
11.
Solari, G. (1985). “Mathematical model to predict 3-D wind loading on buildings.”J. Engrg. Mech., ASCE, 111(2), 254–276.
12.
Solari, G. (1993a). “Gust buffeting. I: Peak wind velocity and equivalent pressure.”J. Struct. Engrg., ASCE, 119(2), 365–382.
13.
Solari, G. (1993b). “Gust buffeting. II: Dynamic alongwind response.”J. Struct. Engrg., ASCE, 119(2), 383–398.
14.
Solari, G. (1999). “Progress and prospects in gust-excited vibrations of structures.” Engrg. Mech., Pavel Heriban-pH-service, Brno, Czech Republic, 6(4/5), 301–322.
15.
Solari, G., and Piccardo, G. (2000). “Probabilistic 3-D turbulence modeling for gust buffeting.” Prob. Engrg. Mech., Elsevier, Whitstable Litho Printer Ltd, Whitstable, Kent, GB, in press.
16.
Tallin, A., and Ellingwood, B. (1985). “Wind induced lateral-torsional motion of buildings.”J. Struct. Engrg., ASCE, 111(10), 2197–2213.
17.
Vickery, B. J., and Basu, R. I. (1983). “Across-wind vibrations of structures of circular cross-section. Part II: Development of a mathematical model for two-dimensional conditions.” J. Wind Engrg. and Industrial Aerodynamics, Elsevier, Amsterdam, 12, 49–74.
18.
Vickery, B. J., and Clark, W. (1972). “Lift or across-wind response of tapered stacks.”J. Struct. Div., ASCE, 98(1), 1–20.
Information & Authors
Information
Published In
History
Received: Apr 29, 1997
Published online: Aug 1, 2000
Published in print: Aug 2000
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.