Earthquake Response of Structures by Structural Mixture Theory
Publication: Journal of Structural Engineering
Volume 122, Issue 10
Abstract
A structural mixture theory is developed for use in predicting the response of a structural frame to earthquake ground motion. The frame is considered to be a mixture of columns and beams and is modeled as two interacting subsystems. The dynamic response of each subsystem is described by its own linear differential operator. The two responses are then subjected to matching conditions (i.e., boundary conditions) which couple them at the subsystem interface. The conditions include damping ratios, moment-of-inertia ratios, frequency ratios, and the effects of relative node/support motion. The solution of the coupled equations is carried out by means of a pair of coupled perturbation series. Example results from the numerical implementation of the theory are given, and compared with the result of the corresponding calculation using the Wilson-θ method and observed earthquake response. The structural mixture theory is valid for multiple-degree-of-freedom structures under the type of ground motions used in this study, and it appears to be applicable to systems with linear or nonlinear behavior.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bergman, L. A., and Nicholson, J. W.(1985). “Forced vibration of a damped combined linear system.”J. Vibration Acoustics, Stress, and Reliability in Des., 107, 275–281.
2.
Bolt, B. A. (1988). Earthquakes . W. H. Freeman & Co., New York, N.Y.
3.
Clough, R. W. (1975). Dynamics of structures . McGraw-Hill Book Co., Inc., New York, N.Y.
4.
Craig, R. R. (1981). Structural dynamics . John Wiley & Sons, Inc., New York, N.Y.
5.
Gillette, G.(1991). “Coupled perturbation series for disparate mixtures.”J. Acoustic Soc. Am., 89, 2084–2092.
6.
Gillette, G. (1993). “A mixture theory for response fields in complex structures.”J. Vibration and Acoustics, Vol. 115(3).
7.
Kanamori, H. (1978). “Quantification of earthquakes.”Nature, Vol. 271.
8.
Kirkely, O. M. (1973). “Earthquake response of fixed offshore structures,” PhD thesis, Univ. of Illinois, Urbana, Ill.
9.
Nicholson, J. W., and Bergman, L. A. (1986). “Free vibration of combined linear systems.”J. Engrg. Mech., Vol. 112, 1–13.
10.
Paz, M. B. (1991). Structural dynamics theory and computation . Van Nostrand Reinhold, New York, N.Y.
11.
Wilson, E. L., Farhoomand, I., and Bathe, K. J. (1973). “Nonlinear dynamic analysis of complex structures.”Int. J. Earthquake Engrg. and Struct. Dynamics, Vol. 1, 241–252.
12.
Wood, J. H. (1973). “Analysis of the earthquake response of a nine story steel frame building during the San Fernando Earthquake.”Rep. No. EERL 72-04, California Inst. of Technol., Pasadena, Calif.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 122 • Issue 10 • October 1996
Pages: 1198 - 1207
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Oct 1, 1996
Published in print: Oct 1996
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.