Optimum Characteristics of Isolated Structures
Publication: Journal of Structural Engineering
Volume 111, Issue 12
Abstract
The effect of frequency content of the ground excitation on the optimum design of a base isolation system and a first‐story damping system is investigated. The ground excitation is modeled as a filtered white noise with Kanai‐Tajimi power spectral density. The stationary response, including peak response, is derived in closed form. Small “ground frequencies” result in considerable differences of the optimum design as compared with the one based on a white noise model of the excitation. Examples show the manner of applying the results to an ordinary two‐story structure. Time‐history analyses of the optimized structures confirm the results of the stochastic analysis.
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References
1.
Bhatti, M. A., Pister, K. S., and Polak, E., “Optimal Design of an Earthquake Isolation System,” Report 78/22, Earthquake Engineering Research Center, Univ. of California at Berkeley, Berkeley, CA, 1978.
2.
Constantinou, M. C., “Random Vibration and Optimization of Design of Aseismic Base Isolation Systems,” thesis presented to the Rensselear Polytechnic Institute, at Troy, NY, in 1984, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
3.
Constantinou, M. C., and Tadjbakhsh, I. G., “Probabilistic Optimum Base Isolation of Structures,” Journal of Structural Engineering, ASCE, Vol. 109, No. 3, March, 1983, pp. 676–689.
4.
Constantinou, M. C., and Tadjbakhsh, I. G., “Optimum Design of a First Story Damping System,” Computers and Structures, Vol. 17, No. 2, Pergamon Press, Inc., 1983, pp. 305–310.
5.
Crandall, S. H., and Mark, W. D., Random Vibration in Mechanical Systems, Academic Press, New York, NY, 1963.
6.
Delfosse, G. C., “Full Earthquake Protection Through Base Isolation,” 7th World Conference on Earthquake Engineering, Istanbul, Turkey, 1980.
7.
Hanks, T. C., “b Values and Seismic Source Models: Implications for Tectonic Stress Variations Along Active Crystal Fault Zones and the Estimation of High‐Frequency Strong Ground Motion,” Journal of Geophysical Research, Vol. 84, No. B5, May, 1979, pp. 2235–2242.
8.
Hanks, T. C., and McGuire, R. K., “The Character of High Frequency Strong Ground Motion,” Bulletin of the Seismological Society of America, Vol. 71, 1981, pp. 2071–2096.
9.
Ikonomou, A. S., “The Alexisismon: An Application to a Building Structure,” Proceedings, 2nd US National Conference on Earthquake Engineering, Stanford Univ., Stanford, CA, Aug., 1979, pp. 443–452.
10.
James, H. M., Nichols, N. B., and Phillips, R. S., Theory of Servomechanisms, MIT Radiation Laboratory Series, Vol. 25, McGraw‐Hill, Inc., New York, NY, 1947, pp. 333–369.
11.
Kaynia, A. M., Veneziano, D., and Biggs, J. M., “Seismic Effectiveness of Tuned Mass Dampers,” Journal of Structural Division, ASCE, Vol. 107, No. ST8, Aug., 1981, pp. 1465–1485.
12.
Keightley, W. O., “Building Damping by Coulomb Friction,” Sixth World Conference on Earthquake Engineering, New Delhi, India, Jan., 1977.
13.
Keightley, W. O., “Prestressed Walls for Damping Earthquake Motions in Buildings,” Research Report, Dept. of Civil Engineering/Mechanics, Montana State Univ., Bozeman, MT, Sept., 1979.
14.
Kelly, J. M., “Aseismic Base Isolation: A Review,” Proceedings of the 2nd US National Conference on Earthquake Engineering, Stanford Univ., Stanford, CA, Aug., 1979, pp. 823–837.
15.
Kelly, J. M., Eidinger, J. M., and Derham, C. J., “A Practical Soft‐Story Earthquake Isolation System,” Report No. UCB/EERC‐77/27, Earthquake Engineering Research Center, Univ. of California, Berkeley, CA, 1977.
16.
Kelly, J. M., and Hodder, S. B., “Experimental Study of Lead and Elastomeric Dampers for Base Isolation Systems in Laminated Neoprene Bearings,” Bulletin of the New Zealand National Society for Earthquake Engineering, Vol. 15, No. 2, June, 1982, pp. 53–67.
17.
Lai, P. S., “Ground Motion Parameters for Seismic Safety Assessment,” Internal Report No. 17, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, 1979.
18.
Lee, D. M., and Medland, I. C., “Base Isolation Systems for Earthquake Protection of Multi‐Story Shear Structures,” Earthquake Engineering and Structural Dynamics, Vol. 7, 1979, pp. 555–568.
19.
Lin, Y. K., Probabilistic Theory of Structural Dynamics, McGraw‐Hill Book Co., New York, NY, 1967.
20.
Lutes, L., and Lilhanand, K., “Frequency Content in Earthquake imulation,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM1, Feb., 1979, pp. 143–158.
21.
McNamara, R. J., “Tuned Mass Dampers for Buildings,” Journal of the Structural Division, ASCE, Vol. 103, No. ST9, Sept., 1977, pp. 1785–1798.
22.
Newmark, N. M., and Rosenblueth, E., Fundamentals of Earthquake Engineering, Prentice‐Hall, Inc., Englewood Cliffs, NJ, 1971.
23.
Papageorgiou, A., and Aki, K., “A Specific Barrier Model for the Quantitative Description of Inhomogeneous Faulting and the Prediction of Strong Ground Motion,” (Part I Description of Model), Bulletin of the Seismological Society of America, Vol. 73, 1983, pp. 693–722.
24.
Pfaffinger, D. D., “Calculation of Power Spectra From Response Spectra,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 1, Feb., 1983, pp. 357–372.
25.
Plichon, C., “Hooped Rubber Bearings and Frictional Plates: A Modern Antiseismic Engineering Technique,” Proceedings, Specialist Meeting of Antiseismic Design of Nuclear Installations, Paris, France, 1975.
26.
Tajimi, H., “A Statistical Method of Determining the Maximum Response of a Building Structure During an Earthquake,” Proceedings, 2nd World Conference on Earthquake Engineering, Vol. II, Tokyo, Japan, July, 1960.
27.
Warburton, G. B., “Optimum Absorber Parameters for Various Combinations of Response and Excitation Parameters,” Earthquake Engineering and Structural Dynamics, Vol. 10, 1982, pp. 381–401.
28.
Wirsching, P. H., and Campbell, G. W., “Minimal Structural Response under Random Excitation using the Vibration Absorber,” Earthquake Engineering and Structural Dynamics, Vol. 2, 1974, pp. 302–312.
29.
Wirsching, P. H., and Yao, J. T., “Safety Design Concepts for Seismic Structure,” Computers and Structures, Vol. 3, Pergamon Press, Inc., Oxford, UK, 1973, pp. 809–826.
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Copyright © 1985 ASCE.
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Published online: Dec 1, 1985
Published in print: Dec 1985
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