TECHNICAL PAPERS
Jan 1, 1987

Seismic Response of SDF Equipment‐Structure, System

Publication: Journal of Engineering Mechanics
Volume 113, Issue 1

Abstract

A mode synthesis method is developed for obtaining the modal properties of a combined single‐degree‐of‐freedom (SDF) equipment and structure system in terms of the modal properties of the individual systems. The eigenvalues of the combined system are obtained as the roots of a simple non‐linear characteristic equation. A simple Newton‐Raphson solution technique can be used to solve this equation. Also, the closed form expressions are provided to calculate the eigenvectors. These combined eigenproperties can be utilized to calculate the structure or equipment response, such as floor response spectra, which will incorporate the effect of the dynamic interaction between the two systems. As no assumption is made about the size of the equipment in the development presented here, this approach can be used equally effectively with light as well as heavy equipment.

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References

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Biggs, J. M., “Seismic Response Spectra for Equipment Design in Nuclear Power Plants,” Paper K4/7, Proceedings, First International Conference on Structural Mechanics in Reactor Technology, Berlin, Germany, 1971.
2.
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. 1, Feb., 1983, pp. 90–110.
3.
Gupta, A. K., and Tembulkar, J. M., “Dynamic Decoupling of Multiply Connected MDOF Secondary System,” Nuclear Engineering and Design, Vol. 81, 1984, pp. 385–394.
4.
Gupta, A. K., “Seismic Response of Multiply Connected MDOF Primary and MDOF Secondary Systems,” Nuclear Engineering and Design, Vol. 81, 1984, pp. 385–394.
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Hernried, A. G., and Sackman, J. L., “Response of Secondary Systems in Structures Subjected to Transient Excitation,” Earthquake Engineering and Structural Dynamics, Vol. 12, 1984, pp. 737–748.
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Householder, A. S., The Numerical Treatment of a Single Nonlinear Equation, McGraw‐Hill, Inc., New York, N.Y., 1970.
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Igusa, T., and Der Kiureghian, A., “Generation of Floor Response Spectra Including Oscillator‐Structure Interaction,” Earthquake Engineering and Structural Dynamics, Vol. 13, 1985, pp. 661–676.
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Kapur, K. K., and Shao, L. C., “Generation of Seismic Floor Response Spectra for Equipment Design,” Proceedings, Special Conference on Structural Design of Nuclear Plant Facility, Chicago, Ill., 1973.
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Kelly, J. M., and Sackman, J. L., “Shock Spectra Design Methods for Equipment‐Stmcture Systems,” Shock and Vibration Bulletin No. 49, Part 2, 1979, pp. 171–176.
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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 the Engineering Mechanics Division, ASCE, Vol. 109, No. 1, Feb., 1983, pp. 73–89.
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Sharma, A. M., and Singh, M. P., “Direct Generation of Seismic Floor Response Spectra for Classically and Nonclassically Damped Structures,” Report No. VPI‐E‐83‐84, Virginia Polytechnic Institute & State University, Blacks‐burg, Va., 1984.
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Singh, M. P., “Seismic Design Input for Secondary Systems,” Journal of the Structural Division, ASCE, Vol. 106, No. ST2, Feb., 1980, pp. 505–517.
14.
Singh, M. P., and Suarez, L. E., “A Perturbation Analysis of Structure‐Equipment Systems,” to appear in Nuclear Engineering & Design.
15.
Suarez, L. E., and Singh, M. P., “Mode Synthesis Approach for the Analysis of Secondary Systems,” Report No. VPI‐E‐86‐8, Virginia Polytechnic Institute & State University, Blacksburg, Va., 1986.
16.
Suarez, L. E., and Singh, M. P., “Floor Response Spectra with Structure‐Equipment Interaction Effects by a Mode Synthesis Approach,” to appear in Earthquake Engineering & Structural Dynamics.
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Suarez, L. E., and Singh, M. P., “Exact Eigenproperties and Floor Spectra of Primary Structure and Equipment Systems,” Report No. VPI‐E‐86‐10, Virginia Polytechnic Institute & State University, Blacksburg, Va., 1986.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 1January 1987
Pages: 16 - 30

History

Published online: Jan 1, 1987
Published in print: Jan 1987

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Authors

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Luis E. Suarez
Asst. Prof., Dept. of Engrg. Sci. and Mech., Virginia Polytechnic Inst. & State Univ., Blacksburg, VA 24061
Mahendra P. Singh, M. ASCE
Prof., Dept. of Engrg. Sci. and Mech., Virginia Polytechnic Inst. & State Univ., Blacksburg, VA 24061

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