Dynamic Response of Tall Building to Wind Excitation
Publication: Journal of Structural Engineering
Volume 111, Issue 4
Abstract
This paper investigates the dynamic responses of tall buildings subject to wind loading. One of the objectives of this research is to study the importance of the torsional dynamic response, coupled with translational responses. Finite element modeling is used to assemble the stiffness matrix of the structure. Torsional degrees of freedom are considered in the stiffness formulation of elements and systems. Aerodynamic forces on a tall building are calculated assuming a deterministic, pseudo‐turbulent approach. These aerodynamic forces are distributed over the height of the building. The equivalent concentrated aerodynamic loads, acting at each floor level are calculated using the principle of virtual displacements. The governing differential equations are nonlinear. An iterative method of solution is used to calculate the responses. In order to simplify the solution procedure, a method of linearization is applied to the aerodynamic forces and the final result is a set of second order differential equations with constant coefficients. A 15‐story building is modeled as an application. One comparative study has been made between the finite element model and an equivalent continuous cantilever beam model. A second comparative study is between nonlinear and linear models. The results are presented as response spectra for different gust frequencies.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Craig, R. R., Jr., Structural Dynamics, An Introduction to Computer Methods, John Wiley and Sons, New York, N.Y., 1981.
2.
Davenport, A. G., “The Spectrum of Horizontal Gustiness Near the Ground in High Winds,” Quarterly Journal Royal Meteorological Society, Vol. 87, Apr., 1961, pp. 194–211.
3.
Davenport, A. G., “The Buffeting of Structures by Gusts,” Proceedings of the First Conference on Wind Effects on Buildings and Structures, London, England, 1963, pp. 357–392.
4.
Hart, G. C., Dijulio, R. M., and Lew, M., “Torsional Response of High‐Rise Buildings,” Journal of the Structural Division, ASCE, Vol. 101, No. ST2, Feb., 1975, pp. 397–416.
5.
Patrickson, C. P., and Friedmann, P., “A Study of the Coupled Lateral and Torsional Response of Tall Buildings of Wind Loads,” Report UCLA‐ENG‐76126, University of California, Los Angeles, Calif., Dec., 1976.
6.
Patrickson, C. P., and Friedmann, P. P., “Deterministic Torsional Building Response to Winds,” Journal of the Structural Division, ASCE, Vol. 105, No. ST12, Dec., 1979, pp. 2621–2637.
7.
Pipes, L. A., Applied Mathematics for Engineers and Physicists, McGraw Hill, New York, N.Y., 1974.
8.
Simiu, E., and Scanlan, R. H., Wind Effects on Structures, An Introduction to Wind Engineering, John Wiley and Sons, New York, N.Y., 1978.
9.
Torkamani, M. A. M., and Meyers, A. J., “A Comparison of Modeling Assumptions for the Dynamic Analysis of Reinforced Concrete Buildings,” Research Report SETEC‐CE‐81‐057, University of Pittsburgh, Pittsburgh, Nov., 1981.
10.
Torkamani, M. A. M., and Pramono, E., “Dynamic Response of High‐Rise Building Subject to Wind Excitation,” Research Report SETEC‐CE‐84‐002, University of Pittsburgh, Pittsburgh, Sept., 1983.
11.
Vaicaitis, R., Shinozuka, M., and Takeno, M., “Response Analysis of Tall Buildings to Wind Loading,” Journal of the Structural Division, ASCE, Vol. 101, No. ST3, Mar., 1975, pp. 585–600.
12.
Vellozzi, J., and Cohen, E., “Dynamic Response of Tall Flexible Structures to Wind Loading,” Building Science Series 30, Wind Loads on Buildings and Structures, National Bureau of Standards, Washington, D.C., 1970, pp. 115–128.
13.
Vickery, B. J., and Kao, K. H., “Drag or Along‐Wind Response of Slender Structures,” Journal of the Structural Division, ASCE, Vol. 98, No. ST1, Jan., 1972, pp. 21–36.
14.
Vivekananda, M., “Wind Excited Vibration of Square Section Beam and Suspended Cable,” thesis presented to the Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, at Cambridge, Mass., in 1972, in partial fulfillment of the requirements for the degree of Doctor of Engineering.
15.
Wilson, E. L., Holling, J. P., and Dovey, H. H., “Three Dimensional Analysis of Building Systems,” Report No. EERC 75‐13, University of California, Berkeley, Calif., Apr., 1975.
16.
Yang, J. N., Lin, Y. K., and Samali, B., “Coupled Motion of Wind‐Loaded Multi‐Story Building,” Journal of Engineering Mechanics Division, ASCE, Vol. 107, No. EM6, Dec., 1981, pp. 1209–1225.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 111 • Issue 4 • April 1985
Pages: 805 - 825
Copyright
Copyright © 1985 ASCE.
History
Published online: Apr 1, 1985
Published in print: Apr 1985
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.