Dynamic Analysis of Light Equipment in Structures: Response to Stochastic Input
Publication: Journal of Engineering Mechanics
Volume 109, Issue 1
Abstract
A mode‐superposition method for the evaluation of the dynamic response of light equipment in structures subjected to stochastic excitations is developed. Previously obtained results for modal properties of the combined equipment‐structure system in terms of the modal properties of the two subsystems are used. Both power spectral density and response spectrum descriptions of the input are considered. Results include the effects of tuning, equipment‐structure interaction, and correlation between modal responses. Floor spectra including interaction, as well as the conventional floor spectra, are easily obtained in terms of the input response spectrum. For an example structure, excellent agreement is obtained in a comparison with time‐history results for an ensemble of 20 generated earthquake ground motions.
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References
1.
Crandall, S. H., and Mark, W. D., Random Vibration of Mechanical Systems, Academic Press, New York, N.Y., 1963.
2.
Der Kiureghian, A., “A Response Spectrum Method for Random Vibrations,” Report No. UCB/EERC‐80/15, Earthquake Engineering Research Center, University of California, Berkeley, Calif., June, 1980.
3.
“A Response Spectrum Method for Random Vibration Analysis of MDF Systems,” Earthquake Engineering and Structural Dynamics, Vol. 9, No. 5, Sept.–Oct., 1981, pp. 419–435.
4.
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.
5.
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, Calif., Apr., 1981.
6.
Kelly, J. M., and Sackman, J. L., “Conservatism in Summation Rules for Closely Spaced Modes,” Earthquake Engineering and Structural Dynamics, Vol. 8, 1980, pp. 63–74.
7.
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.
8.
Sackman, J. L., Der Kiureghian, A., and Nour‐Omid, B., “Dynamic Analysis of Light Equipment in Structures: Modal Properties of the Combined System,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. EM1, Feb., 1983, pp. 73–89.
9.
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.
10.
Singh, M. P., “Generation of Seismic Floor Spectra,” Journal of the Engineering Mechanics Division, ASCE, Vol. 101, No. EM5, Proc. Paper 11651, Oct., 1975, pp. 593–607.
11.
Singh, M. P., “Seismic Design Input for Secondary Structures,” Journal of the Structural Division, ASCE, Vol. 106, No. ST2, Proc. Paper 15207, Feb., 1980, pp. 505–517.
12.
Vanmarcke, E. H., “Properties of Spectral Moments with Application to Random Vibration,” Journal of the Engineering Mechanics Division, ASCE, Vol. 98, No. EM2, Proc. Paper 8822, Apr., 1972, pp. 425–446.
13.
Vanmarcke, E. H., “On the Distribution of the First‐Passage Time for Normal Stationary Random Processes,” Journal of Applied Mechanics, Vol. 42, Mar., 1975, pp. 215–220.
14.
Vanmarcke, E. H., “Structural Responsive to Earthquakes,” Seismic Risk and Engineering Decision, C. Lomnitz and E. Rosenblueth, Eds., Elsevier, New York, N.Y., 1976.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 109 • Issue 1 • February 1983
Pages: 90 - 110
Copyright
Copyright © 1983 ASCE.
History
Published online: Feb 1, 1983
Published in print: Feb 1983
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