Dynamic Analysis of Light Equipment in Structures: Modal Properties of the Combined System
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
Perturbation methods are employed to determine the dynamic properties of a combined system composed of a multi‐degree‐of‐freedom structure to which is attached a light, less single‐degree‐of‐freedom equipment item. Closed‐form expressions are derived for the natural frequencies, mode shapes, modal dampings, and other modal properties of the combined system in terms of the dynamic properties of the structure alone, and the equipment alone. The effect of tuning and equipment‐structure interaction are included in this analysis. The derived properties can be used in conjunction with a mode‐super‐position procedure to determine the response of the equipment to any excitation of the combined system. For an example structure, the natural frequencies and mode shapes based on the method developed agree well with exact results.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Der Kiureghian, A., “Structural Response to Stationary Excitation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM6, Proc. Paper 15898, Dec., 1980, pp. 1195–1213.
2.
Der Kiureghian, A., Sackman, J. L., and Nour‐Omid, B., “Dynamic Response of Light Equipment in Structures,” Report No. UCB/EERC‐81/05, Earthquake Engineering Research Center, University of California, Berkeley, Apr., 1981.
3.
Der Kiureghian, A., Sackman, J. L., and Nour‐Omid, B., “Dynamic Analysis of Light Equipment in Structures: Response to Stochastic Input,” Journal of the Engineering Mechanics Division, ASCE, Vol. 109, No. EM1, Feb., 1983, pp. 90–110.
4.
Meirovitch, L., Analytical Methods in Vibration, The Macmillan Co., New York, N.Y., 1967.
5.
Peters, K. A., Schmitz, D., and Wagner, U., “Determination of Floor Response Spectra on the Basis of the Response Spectrum Method,” Nuclear Engineering and Design, Vol. 44, 1977, pp. 255–262.
6.
Sackman, J. L., and Der Kiureghian, A., “Dynamic Analysis of Equipment‐Structure Systems,” Proceedings, 2nd Specialty Conference on Dynamic Response of Structures, 1981, pp. 731–744.
7.
Sackman, J. L., and Kelly, J. M., “Seismic Analysis of Internal Equipment and Components in Structures,” Engineering Structures, Vol. 1, No. 4, July, 1979, pp. 179–190.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 109 • Issue 1 • February 1983
Pages: 73 - 89
Copyright
Copyright © 1983 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
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.