Along‐Wind Motion of Building on Compliant Soil
Publication: Journal of Engineering Mechanics
Volume 110, Issue 1
Abstract
Theoretical investigation is presented for the along‐wind motion of a multistory building under random wind load excitation, taking into account the effect of soil compliancy under the footing. Assuming that the super‐structure is composed of identically constructed story‐units and the soil behavior is characterized by a known frequency dependent impedance matrix, closed form solutions are obtained for the frequency response functions and the spectral densities of structural response. Numerical examples show that soil compliancy decreases the structural response of a moderately tall 10‐story building by about 17%, but increases the response of a more flexible 40‐story building by 21–22%. Some of the frequency response functions are found to be dominated not by the first mode; thus, spectral peaks can theoretically occur near some higher mode frequencies if sufficient wind energy is available around these frequencies. The Davenport spectrum used in the numerical examples, however, has a dominant peak at a very low frequency and diminishes very quickly as frequency increases, resulting in only two peaks in the response spectra in both examples.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chopra, A. K., and Gutierrez, J. A., “Earthquake Response Analysis of Multistorey Building Including Foundation Interaction,” Earthquake Engineering and Structural Dynamics, Vol. 3, 1973, pp. 65–77.
2.
Davenport, A. G., “The Application of Statistical Concepts to the Wind Loading of Structures,” Proceedings of the Institution of Civil Engineers, Vol. 19, Aug., 1961, pp. 449–472.
3.
Gladwell, G. M. L., “Forced Tangential and Rotatory Vibrations of a Rigid Circular Disc on a Semi‐infinite Solid,” International Journal of Engineering Science, Vol. 6, No. 10, Oct., 1968, pp. 591–607.
4.
Hsieh, T. K., “Foundation Vibrations,” Proceedings of the Institution of Civil Engineers, Vol. 22, 1962, pp. 211–225.
5.
Iguchi, M., and Luco, J. E., “Dynamic Response of Flexible Rectangular Foundations on an Elastic Half‐space,” Earthquake Engineering and Structural Dynamics, Vol. 9, 1981, pp. 239–249.
6.
Jennings, P. C., and Bielak, J., “Dynamics of Building Soil Interaction,” Bulletin of Seismic Society of America, Vol. 63, 1973, pp. 9–48.
7.
Lin, Y. J., “Dynamic Response of Circular Plates Resting on Viscoelastic Half Space,” Journal of Applied Mechanics, ASME, Vol. 45, 1978.
8.
Lin, Y. K., and Wu, W. F., “A Closed Form Earthquake Response Analysis of Multistory Building on Compliant Soil,” Journal of Structural Mechanics, Vol. 12, 1984.
9.
Lin, Y. K., “Random Vibration of Periodic and Almost Periodic Structures,” Mechanics Today, S. Nemat‐Nasser, ed., Vol. 3, 1976, pp. 93–124.
10.
Lin, Y. K., and McDaniel, T. J., “Dynamics of Beam‐Type Periodic Structures,” Journal of Engineering for Industry, Vol. 91, 1969, pp. 1133–1141.
11.
Liu, S. C., and Fagel, L. W., “A Fast Fourier Transform Approach to Earthquake Soil‐Structure Interaction Problems,” Proceedings of the 5th World Conference Earthquake Engineering, Rome, Italy, 1973.
12.
Luco, J. E., and Westmann, R. A., “Dynamic Response of Circular Footings,” Journal of the Engineering Mechanics Division, ASCE, Vol. 97, No. EM, Proc. Paper 8416, 1971, pp. 1381–1395.
13.
Veletsos, A. S., and Meek, J. W., “Dynamic Behavior of Building‐Foundation Systems,” Earthquake Engineering and Structural Dynamics, Vol. 3, 1974, pp. 121–138.
14.
Veletsos, A. S., and Wei, Y. T., “Lateral and Rocking Vibration of Footings,” Journal of the Soil Mechanics Foundations Division, ASCE, Vol. 97, 1971, pp. 1227–1248.
15.
Wong, H. L., and Luco, J. E., “Dynamic Response of Rigid Foundations of Arbitrary Shape,” Earthquake Engineering and Structural Dynamics, Vol. 4, 1976, pp. 579–587.
16.
Yaglom, A. M., “An Introduction to the Theory of Stationary Random Functions,” (English translation by R. A. Silverman), Prentice‐Hall, Englewood Cliffs, N.J., 1962.
17.
Yang, J. N., and Lin, Y. K., “Along‐Wind Motion of Multistory Building,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM2, Proc. Paper 16170, Apr., 1981, pp. 295–307.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 110 • Issue 1 • January 1984
Pages: 1 - 19
Copyright
Copyright © 1984 ASCE.
History
Published online: Jan 1, 1984
Published in print: Jan 1984
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.