Reliability of Nonlinear Structures with Seismic Loading
Publication: Journal of Structural Engineering
Volume 113, Issue 5
Abstract
Reliability measures for simple nonlinear structures subjected to seismic loading are investigated using dynamic analysis and damage‐related limit states. The nonlinear dynamic response and accompanying statistical analyses are computed using simulation for a vriety of single‐degree‐of‐freedom frames. These analyses provide benchmarks against which theoretical results may be compared. Reliability measures computed in this study are compared to those determined previously using equivalent static limit states, and the implications for probability‐based safety checking are described.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Algermissen, S. T., and Perkins, D. M., “A Probabilistic Estimate of Maximum Acceleration in Rock in the Contiguous United States,” U.S. Geological Survey Open File Report 76‐416, 1976.
2.
“American National Standard Minimum Design Loads for Buildings and Other Structures,” ANSI A58.1‐1982, American National Standards Institute, New York, N.Y., 1982.
3.
Benjamin, J. R., and Cornell, C. A., Probability, Statistics, and Decision for Civil Engineers, McGraw‐Hill Book Co., New York, N.Y., 1970.
4.
Clough, R., and Penzien, J., Dynamics of Structures, McGraw‐Hill Book Co., New York, N.Y., 1975, pp. 17–145.
5.
Cornell, C. A., “Engineering Seismic Risk Analysis,” Bulletin of the Seismological Society of America, Vol. 58, No. 5, 1968, pp. 1583–1606.
6.
Culver, C., et al., “Natural Hazards Evaluation of Existing Buildings,” Building Science Series No. 61, National Bureau of Standards, Washington, D.C., Jan., 1975, pp. 3‐142–3‐166.
7.
DerKiureghian, A., “Seismic Risk Analysis of Structural Systems,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. 6, Dec., 1981, pp. 1133–1153.
8.
Ellingwood, B., et al., “Development of a Probability Based Load Criterion for American National Standard A58,” National Bureau of Standards Special Publication No. SP 577, Washington, D.C., Jun., 1980.
9.
Galambos, T. V., and Ravindra, M. K., “Properties of Steel for Use in LRFD,” Journal of the Structural Division, ASCE, Vol. 104, No. 9, Sep., 1978, pp. 1459–1468.
10.
Hasselman, T. K., and Simonian, S. S., “Structural Uncertainty in Seismic Risk Analysis,” U.S. Nuclear Regulatory Commission Report NUREG/CR‐1560, Washington, D.C., Oct., 1980.
11.
Hudson, D. E., Ed., “Strong Motion Earthquake Accelerograms—Index Volume,” Report No. EERL 76‐02, Earthquake Engineering Research Laboratory, California Institute of Technology, Pasadena, Calif., 1976.
12.
Imam, R. L., and Conover, W. J., “Small Sample Sensitivity Analysis Techniques for Computer Models, with an Application to Risk Assessment,” Communications in Statistics, Vol. A9, No. 17, 1980, pp. 1749–1842.
13.
Iwan, W. D., “Estimating Inelastic Response Spectra from Elastic Spectra,” Earthquake Engineering and Structural Dynamics, Vol. 8, No. 4, Jul., 1980, pp. 375–388.
14.
Kato, B., and Akiyama, H., “Seismic Design of Steel Buildings,” Journal of the Structural Division, ASCE, Vol. 108, No. 8, Aug., 1982, pp. 1709–1721.
15.
Lai, S. P., “On Inelastic Response Spectra for Aseismic Design,” Publication No. R78‐18, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass., Jul., 1978.
16.
Lai, S. P., “Seismic Safety: 10‐Story UBC Designed Steel Building,” Journal of Engineering Mechanics, ASCE, Vol. 109, No. 2, Apr., 1983, pp. 557–575.
17.
Liu, S. C., “Earthquake Response Statistics of Nonlinear Systems,” Journal of the Engineering Mechanics Division, ASCE, Vol. 95, No. 2, Apr., 1969, pp. 397–419.
18.
Mahin, S., and Bertero, V. V., “An Evaluation of Inelastic Seismic Design Spectra,” Journal of the Structural Division, ASCE, Vol. 107, No. 9, Sep., 1981, pp. 1777–1795.
19.
McGuire, R. K., “A Simple Model for Estimating Fourier Amplitude Spectra of Horizontal Ground Acceleration,” Bulletin of the Seismological Society of America, Vol. 66, No. 6, Feb., 1976, pp. 221–243.
20.
Nau, J. M., and Hall, W. J., “Scaling Methods for Earthquake Response Spectra,” Journal of Structural Engineering, ASCE, Vol. 110, No. 7, Jul., 1984, pp. 1533–1548.
21.
Newmark, N. M., “A Method of Computation for Structural Dynamics,” Journal of the Engineering Mechanics Division, Vol. 85, No. 3, Jul., 1959, pp. 67–94.
22.
Newmark, N. M., and Hall, W. J., “Procedures and Criteria for Earthquake Resistant Design,” Building Science Series No. 46, National Bureau of Standards, Washington, D.C., Feb., 1973, pp. 209–236.
23.
O'Connell, W. J., et al., “Ranking of Sources of Uncertainty in the SSMRP Seismic Methodology Chain,” U.S. Nuclear Regulatory Commission Report NUREG/CR‐2082, Aug., 1981.
24.
O'Connor, J. M., “Reliability Measures for Simple Nonlinear Structures Subjected to Seismic Loading,” thesis presented to The Johns Hopkins University, at Baltimore, Md., in 1986, in partial fulfillment of the requirements for the degree of Master of Science.
25.
Park, Y. J., Ang, A. H.‐S., and Wen, Y. K., “Seismic Damage Analysis of Reinforced Concrete Buildings,” Journal of Structural Engineering, ASCE, Vol. 111, No. 4, Apr., 1985, pp. 740–757.
26.
Riddell, R., and Newmark, N. M., “Statistical Analysis of Nonlinear Systems Subjected to Earthquakes,” Structural Research Series No. 468, University of Illinois, Urbana, Ill., Aug., 1979.
27.
Seed, H., Ugas, C., and Lysmer, J., “Site Dependent Spectra for Earthquake Resistant Design,” Bulletin of the Seismological Society of America, Vol. 68, No. 3, Jun., 1978, pp. 803–822.
28.
Sozen, M. A., “Review of Earthquake Response of Reinforced Concrete Buildings with a View to Drift Control,” State‐of‐the‐Art in Earthquake Engineering, 1981, Turkish National Committee on Earthquake Engineering, Istanbul, Turkey, 1981, pp. 383–418.
29.
Stephens, J. E., “A Damage Function Using Structural Response Records,” Structural Safety Studies, ASCE, May, 1985, pp. 22–39.
30.
Sues, R. H., Wen, Y. K., and Ang, A. H.‐S., “Stochastic Evaluation of Seismic Structural Performance,” Journal of Structural Engineering, ASCE, Vol. 111, No. 6, Jun., 1985, pp. 1203–1218.
31.
Tang, J. P., and Yao, J. T. P., “Expected Fatigue Damage of Seismic Structures,” Journal of the Engineering Mechanics Division, ASCE, Vol. 98, No. 3, Jun., 1972, pp. 695–709.
32.
“Tentative Provisions for the Development of Seismic Regulations for Buildings,” National Bureau of Standards Special Publication No. 510, Applied Technology Council Report ATC 3‐06, 1978.
33.
Uniform Building Code, 1985 Edition, International Conference of Building Officials, Whittier, Calif., 1985.
34.
Wilson, E. L., Farhoumand, I., and Bathe, K. J., “Nonlinear Dynamic Analysis of Complex Structures,” Earthquake Engineering and Structural Dynamics, John Wiley and Sons, Vol. 1, No. 3, Jan., 1973, pp. 241–252.
35.
Yang, J. N., and Liu, S. C., “Distribution of Maximum and Statistical Response Spectra,” Journal of the Engineering Mechanics Division, ASCE, Vol. 107, No. 6, Dec., 1981, pp. 1089–1102.
36.
Yao, J. T. P., and Munse, W., “Low Cycle Axial Fatigue Behavior of Mild Steel,” ASTM Special Publication No. 338, 1962, pp. 5–24.
37.
Zahrah, T. F., and Hall, W. J., “Earthquake Energy Absorption in SDOF Structures,” Journal of Structural Engineering, ASCE, Vol. 110, No. 8, Aug., 1984, pp. 1757–1772.
Information & Authors
Information
Published In
Copyright
Copyright © 1987 ASCE.
History
Published online: May 1, 1987
Published in print: May 1987
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.