Structural Response to Uncertain Seismic Excitations
Publication: Journal of Structural Engineering
Volume 112, Issue 6
Abstract
Probabilistic and statistical descriptors are developed for the response of nonhysteretic oscillators subject to modulated Gaussian ground acceleration with uncertain scale. The probabilistic descriptors correspond to postulated values of the scale of the ground acceleration process while the statistical descriptors account for the uncertainty in this parameter. The analysis focuses on the mean (failure) rate at which the response exceeds the structural strength. It shows that unconservative designs can result when the uncertainty in the scale of the ground acceleration is disregarded. This unfavorable effect is less significant for nonlinear structures than for linear structures in the cases examined in the paper.
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References
1.
Abramowitz, M., and Stegun, I. A., Eds., Handbook of Mathematical Functions, Dover Publications, Inc., New York, N.Y., 1972.
2.
Bolotin, V. V., Statistical Methods in Structural Mechanics, Hollen‐Day, Inc., San Francisco, Calif., 1965.
3.
Corotis, R. B., Vanmarcke, E. H., and Cornell, C. A., “First Passage of Nonstationary Random Processes,” Journal of the Engineering Mechanics Division, ASCE, Vol. 98, No. EM2, Proc. Paper 8816, Apr., 1972, pp. 401–414.
4.
Cramer, H., and Leadbetter, M. R., Stationary and Related Stochastic Processes, John Wiley & Sons, New York, N.Y., 1967.
5.
Der Kiureghian, A., “Structural Response to Stationary Excitations,” Journal of the Engineering Mechanics Division, ASCE, Vol. 106, No. EM6, Proc. Paper 15898, Dec., 1983, pp. 1195–1213.
6.
Fuller, A. T., “Analysis of Nonlinear Stochastic Systems by Means of the Fokker‐Planck Equation,” International Journal of Control, Vol. 9, No. 6, 1969, pp. 603–655.
7.
Gasparini, D. A., “Response of MDOF Systems to Nonstationary Random Excitations,” Journal of the Engineering Mechanics Division, ASCE, Vol. 105, No. EM1, Proc. Paper 14341, Feb., 1979, pp. 13–27.
8.
Grigoriu, M., “Mean‐Square Structural Response to Stationary Ground Acceleration,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. EM5, Proc. Paper 16595, Oct., 1981, pp. 969–986.
9.
Grigoriu, M., “Structural Response to Modulated Random Excitation,” presented at the May 24–25, 1983, ASCE EMD Specialty Conference, Purdue Univ., West Lafayette, Ind.
10.
Grigoriu, M., “Response of Linear and Nonlinear Oscillators to Statistically Uncertain Seismic Excitations,” presented at the August 19–23, 1985, 8th International Conference on Structural Mechanics in Reactor Technology, held at Brussels, Belgium.
11.
Hasselman, T. K., and Simonian, S. S., “Structural Uncertainty in Seismic Risk Analysis,” NUREG/CR‐1560, UCRL‐15218, Lawrence Livermore, Calif., Oct., 1980.
12.
Lai, S.‐S. P., “Statistical Characterization of Strong Motions Using Power Spectral Density Function,” Bulletin of the Seismological Society of America, Vol. 72, No. 1, Feb., 1982, pp. 259–274.
13.
Lin, Y. K., Probabilistic Theory of Structural Dynamics, McGraw‐Hill, New York, N.Y., 1967.
14.
Mohraz, B., “A Study of Earthquake Response Spectra for Different Geological Conditions,” Bulletin of the Seismological Society of America, Vol. 66, No. 3, June, 1976, pp. 915–935.
15.
Park, Y.‐J., and Ang, A. H.‐S., “Mechanistic Seismic Damage Model for Reinforced Concrete,” Journal of Structural Engineering, ASCE, Vol. 111, No. 4, Apr., 1985, pp. 722–739.
16.
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.
17.
Stratonovich, R. L., Topics in the Theory of Random Noise, Vol. 1, Gordon and Breach Science Publishers, New York, N.Y., 1963.
18.
Sues, R. H., Wen, Y.‐K., Ang, A. H.‐S., “Stochastic Evaluation of Seismic Structural Performance,” Journal of Structural Engineering, ASCE, Vol. 111, No. 6, June, 1985, pp. 1204–1218.
19.
Vanmarcke, E. H., “Structural Response to Earthquakes,” Seismic Risk and Engineering Decisions, C. Lomnitz and E. Rosenblueth, Eds., Elsevier Publishing Co., Amsterdam, The Netherlands, 1976, pp. 287–337.
20.
Vanmarcke, E. H., and Lai, S.‐S. P., “Strong‐Motion Duration and Rms Amplitude of Earthquake Records,” Bulletin of the Seismological Society of America, Vol. 70, No. 4, Aug., 1980, pp. 1293–1307.
21.
Zellner, A., An Introduction to Bayesian Inference in Econometrics, John Wiley and Sons, Inc., New York, N.Y., 1971.
Information & Authors
Information
Published In
Journal of Structural Engineering
Volume 112 • Issue 6 • June 1986
Pages: 1355 - 1365
Copyright
Copyright © 1986 ASCE.
History
Published online: Jun 1, 1986
Published in print: Jun 1986
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