TECHNICAL PAPERS
Dec 1, 2000

Methodology for Reliability-Based Design Earthquake Identification

Publication: Journal of Structural Engineering
Volume 126, Issue 12

Abstract

This study presents a methodology to rank the possible earthquake events through the estimation of a reliability importance parameter, which is a function of each event's magnitude M and site-to-source distance R. This allows one to rank the importance of each design earthquake not in terms of the acceleration of a single-degree-of-freedom oscillator, but rather in terms of the displacement-based reliability of a multiple-degree-of-freedom representation of the structure. A simulation procedure is introduced that couples a technique similar to seismic hazard analysis with performance-based reliability estimates that consider interstory drift criteria. The simulation procedure allows for the inclusion of response spectra uncertainty and structural resistance uncertainties in the mass, stiffness, and damping at each story level. The reliability importance factor leads to the definition of a cumulative earthquake hazard function. This function may be used as a basis in selecting the number of design earthquakes one wishes to use depending upon the desired complexity of the analysis. Two illustrative examples are presented.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Abrahamson, N. A., and Silva, W. J. ( 1997). “Empirical response spectral attenuation relations for shallow crustal earthquakes.” Seismological Res. Letters, 68(1), 94–127.
2.
Anderson, J. G., and Brune, J. N. ( 1999). “Probabilistic seismic hazard analysis without the ergodic assumption.” Seismological Res. Letters, 70(1), 19–28.
3.
Bazzurro, P., and Cornell, C. A. (1994a). “Seismic hazard analysis of non-linear structures. I: Methodology.”J. Struct. Engrg., ASCE, 120(11), 3320–3344.
4.
Bazzurro, P., and Cornell, C. A. (1994b). “Seismic hazard analysis of nonlinear structures. II: Applications.”J. Struct. Engrg., ASCE, 120(11), 3345–3365.
5.
Bazzurro, P., and Cornell, C. A. ( 1999). “On disaggregation of seismic hazard.” Bull. Seismological Soc. of Am., 89(2), 501–520.
6.
Beck, J. L., Chan, E., Irfanoglu, A., and Papadimitriou, C. ( 1999). “Multi-criteria optimal structural design under uncertainty.” Earthquake Engrg. and Struct. Dyn., 28(7), 741–761.
7.
Clough, R. W., and Penzien, J. ( 1993). Dynamics of structures. McGraw-Hill, New York.
8.
Collins, K. R., Wen, Y. K., and Foutch, D. A. ( 1996). “Dual-level seismic design: a reliability-based methodology.” Earthquake Engrg. and Struct. Dyn., 25(12), 1433–1467.
9.
Cornell, C. A. ( 1968). “Engineering seismic risk analysis.” Bull. Seismological Soc. of Am., 58, 1583–1606.
10.
Cornell, C. A., and Sewell, R. T. ( 1987). “Non-linear behavior intensity measures in seismic hazard analysis.” Proc., Int. Workshop on Seismic Zonation, Guangzhou, China.
11.
Dymiotis, C., Kappos, A. J., and Chryssanthopoulos, M. K. (1999). “Seismic reliability of RC frames with uncertain drift and member capacity.”J. Struct. Engrg., ASCE, 125(9), 1038–1047.
12.
Federal Emergency Management Agency (FEMA). ( 1999). “Statement of Michael J. Armstrong before the Subcommittee on Science, Technology, and Space of the Senate Committee on Commerce, Science, and Transportation.” Washington, D.C.
13.
Gutenberg, B., and Richter, C. F. ( 1956). “Earthquake magnitude, intensity, energy and acceleration.” Bull. Seismological Soc. of Am., 46, 105–195.
14.
Lee, Y., Zeng, Y., and Anderson, J. G. ( 1998). “A simple strategy to examine the sources of errors in attenuation relations.” Bull. Seismological Soc. of Am., 88(1), 1291–1296.
15.
Leemis, L. M. ( 1995). Reliability: probabilistic models and statistical methods, Prentice-Hall, Englewood Cliffs, N.J.
16.
McGuire, R. K. ( 1995). “Probabilistic seismic hazard analysis and design earthquakes: closing the loop.” Bull. Seismological Soc. of Am., 85(5), 1275–1284.
17.
Rahnama, M., and Krawinkler, H. ( 1994). “Amplification of seismic demands in linear and nonlinear soft soils.” Proc., 5th U.S. Conf. in Earthquake Engrg., EERI, Chicago, 2, 321–330.
18.
Seneviratna, G. D. P. K., and Krawinkler, H. ( 1994). “Strength and displacement demands for seismic design of structural walls.” Proc., 5th U.S. Conf. in Earthquake Engrg., EERI, Chicago, 2, 181–190.
19.
Seneviratna, G. D. P. K., and Krawinkler, H. ( 1996). “Modifications of seismic demands for MDOF systems.” Proc., 11th World Conf. on Earthquake Engrg., Pergamon, Oxford, England, Paper No. 2129.
20.
Shome, N., Cornell, C. A., Bazzurro, P., and Carballo, J. E. ( 1997). “Earthquakes, records and nonlinear responses.” Earthquake Spectra, 14(3), 469–500.
21.
Toro, G. W., Abrahamson, N. A., and Schneider, J. F. ( 1997). “Model of strong ground motion from earthquakes in central and eastern North America: best estimates and uncertainties.” Seismological Res. Letters, 68(1), 41–57.
22.
van de Lindt, J. W. ( 1999). “Time variant reliability of systems dominated by load uncertainty.” PhD thesis, Dept. of Civ. Engrg., Texas A&M University, College Station, Tex.
23.
van de Lindt, J. W., and Niedzwecki, J. M. ( 2000). “A time variant approach to performance-based engineering.” ASCE Struct. Congress 2000, ASCE, Reston, Va.
24.
Winterstein, S. R., Ude, T. C., Cornell, C. A., Bjerager, P., and Haver, S. ( 1993). “Environmental parameters for extreme response: inverse form with omission factors.” Proc., ICOSSAR-93, Innsbruck, Austria, Balkema, Rotterdam, 551–557.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 126Issue 12December 2000
Pages: 1420 - 1426

History

Received: Feb 4, 2000
Published online: Dec 1, 2000
Published in print: Dec 2000

Permissions

Request permissions for this article.

Authors

Affiliations

Associate Member, ASCE
Fellow, ASCE
Asst. Prof., Dept. of Civ. and Envir. Engrg., Michigan Technol. Univ., Houghton, MI 49931.
Prof. and Head, Dept. of Civ. Engrg., Texas A&M Univ., College Station, TX 77843.

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share