TECHNICAL PAPERS
Sep 15, 2003

Damage Spectra: Characteristics and Applications to Seismic Risk Reduction

Publication: Journal of Structural Engineering
Volume 129, Issue 10

Abstract

Improved damage spectra are proposed to quantify the damage potential of recorded earthquake ground motion. The damage spectra are based on a combination of normalized hysteretic energy and deformation ductility of a series of inelastic single-degree-of-freedom systems. The damage spectra proposed will be zero if the structure remains elastic, i.e., no significant damage is expected, and will be unity if there is a potential of collapse. By varying a coefficient in their formulations, improved damage spectra can be reduced to commonly used normalized hysteretic energy or displacement ductility spectra. The damage spectra are computed for hundreds of horizontal ground motions recorded during the Landers and Northridge earthquakes. Source-to-site attenuation of the damage spectra in the Northridge earthquake is examined. Calibration of the damage spectra for an instrumented building damaged during the Northridge earthquake is also carried out. The improved damage spectra are promising for assessment of the performance-based seismic vulnerability of existing structures. For example, following an earthquake, near real-time contour maps of damage spectral ordinates at selected periods provide useful information on the spatial distribution of the damage potential of recorded ground motion for specific types of structures. The concept of damage spectra is also promising for carrying out performance-based design of new structures.

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References

Akiyama, H. (1985). Earthquake-resistant limit-state design for buildings, University of Tokyo Press, Tokyo.
Ang, A. H.-S., and de Leon, D. (1994). “Reliability and response control of R/C buildings.” Proc., ASCE Structures Congress XII, ASCE, Reston, Va., 2, 1593–1599.
Applied Technology Council (ATC). (1996). “Seismic evaluation and retrofit of concrete buildings.” Rep. No. ATC-40, Redwood City, Calif., Vol. 2.
Banon, H., and Veneziano, D.(1982). “Seismic safety of reinforced concrete members and structures.” Earthquake Eng. Struct. Dyn., 10, 179–193.
Bertero, V. V., and Uang, C.-M. (1992). “Issues and future directions in the use of an energy approach for seismic-resistant design of structures.” Nonlinear seismic analysis and design of reinforced concrete buildings, P. Fajfar and H. Krawinkler, eds., Elsevier Applied Science, London, 3–22.
Bertero, V. V., Popov, E. P., Wang, T. Y., and Vallenas, J. (1977). “Seismic design implications of hysteretic behavior of reinforced concrete structural walls.” Proc., 6th World Conf. on Earthquake Engineering, India, II, 1898–1904.
Bozorgnia, Y., and Bertero, V. V.(2001a). “Evaluation of damage potential of recorded earthquake ground motion.” 96th Annual Meeting of Seismological Society of America, Seismol. Res. Lett., 74, 312.
Bozorgnia, Y., and Bertero, V. V. (2001b). “Improved shaking and damage parameters for post-earthquake applications.” Proc., SMIP01 Seminar on Utilization of Strong-Motion Data, Los Angeles, 1–22.
Bozorgnia, Y., Campbell, K. W., and Niazi, M. (1999). “Vertical ground motion: Characteristics, relationship with horizontal component, and building code implications.” Proc., SMIP99 Seminar on Utilization of Strong-Motion Data, 23–49.
California Seismic Safety Commission. (1996). “1994 Northridge earthquake building case studies project.” Rep. No. SSC 94-06, Proposition 122, Product 3.2, State of California Seismic Safety Commission, Sacramento, Calif.
California Strong Motion Instrumentation Program (CSMIP). (1994). “Processed data for Van Nuys 7-story hotel, from the Northridge earthquake of 17 January 1994.” Rep. No. OSMS 94-11D, California SMIP, Division of Mines and Geology, Sacramento, Calif.
Campbell, K. W., and Bozorgnia, Y. (2000). “New empirical models for predicting near-source horizontal, vertical, and V/H response spectra: Implications for design.” Proc., 6th Int. Conf. on Seismic Zonation, Palm Springs, Calif.
Chai, Y. H., Romstad, K. M., and Bird, S. M.(1995). “Energy-based linear damage model for high-intensity seismic loading.” J. Struct. Eng., 121(5), 857–864.
Cosenza, E., Manfredi, G., and Ramasco, R.(1993). “The use of damage functionals in earthquake engineering: A comparison between different methods.” Earthquake Eng. Struct. Dyn., 22, 855–868.
Earthquake Engineering Research Institute (EERI). (2000). “1999 Kocaeli, Turkey, earthquake reconnaissance report.” Earthquake Spectra, 16.
Fajfar, P.(1992). “Equivalent ductility factors, taking into account low-cycle fatigue.” Earthquake Eng. Struct. Dyn., 21, 837–848.
Ghobarah, A., Abou-Elfath, H., and Biddah, A.(1999). “Response-based damage assessment of structures.” Earthquake Eng. Struct. Dyn., 28, 79–104.
Housner, G. W. (1952). “Spectrum intensities of strong-motion earthquakes.” Proc., Symp. on Earthquake and Blast Effects on Structures, C. M. Duke and M. Feigen, eds.
Iwan, W. D.(1997). “Drift spectrum: Measure of demand for earthquake ground motions.” J. Struct. Eng., 123(4), 397–404.
Kratzig, W. B., and Meskouris, K. (1997). “Seismic damage evaluation treated as a low-cycle fatigue process.” Seismic design methodologies for the next generation of codes, P. Fajfar and H. Krawinkler, eds., Balkema, Rotterdam, The Netherlands, 139–149.
Krawinkler, H., and Zohrei, M.(1983). “Cumulative damage in steel structures subjected to earthquake ground motion.” Comput. Struct., 16, 531–541.
Lin, K.-W., Shakal, A., Huang, M., Stephens, C., and Savage, W. (2002). “Dissemination of strong-motion data via Internet quick report and Internet data report at the CISN engineering data center.” Proc., SMIP02 Seminar on Utilization of Strong-Motion Data, Los Angeles, 115–126.
Mahin, S. A., and Bertero, V. V. (1976). “Problems in establishing and predicting ductility in aseismic design.” Proc., Int. Symp. on Earthquake Structural Engineering, St. Louis, 613–628.
Mahin, S. A., and Bertero, V. V.(1981). “An evaluation of inelastic seismic design spectra.” J. Struct. Div., ASCE, 107(9), 1777–1795.
Mahin, S. A., and Lin, J. (1983). “Construction of inelastic response spectra for single-degree-of-freedom systems.” Rep. No. UCB/EERC-83/17, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Mehanny, S. S. F., and Deierlein, G. G. (2000). “Modeling of assessment of seismic performance of composite frames with reinforced concrete columns and steel beams.” Rep. No. 135, The John A. Blume Earthquake Engineering Center, Stanford Univ., Stanford, Calif.
Meyer, I. F., Kratzig, W. B., Stangenberg, F., and Meskouris, K.(1988). “Damage prediction in reinforced concrete frames under seismic actions.” Eur. Earthquake Eng., 2(3), 9–15.
Moehle, J. P., Li, Y. R., Lynn, A., and Browning, J. (1997). “Performance assessment for a reinforced concrete frame building.” Proc., NEHRP Conf. and Workshop on Research on the Northridge, California, Earthquake of January 17, 1994, III-A, 140–156.
Park, Y. J., and Ang, A. H.-S.(1985). “Mechanistic seismic damage model for reinforced concrete.” J. Struct. Eng., 111(4), 722–739.
Park, Y. J., Ang, A. H.-S., and Wen, Y. K.(1987). “Damage-limiting aseismic design of buildings.” Earthquake Spectra, 3(1), 1–26.
Powell, G. H., and Allahabadi, R.(1988). “Seismic damage prediction by deterministic methods: Concepts and procedures.” Earthquake Eng. Struct. Dyn., 16, 719–734.
Rodriguez, M. E., and Aristizabal, J. C.(1999). “Evaluation of a seismic damage parameter.” Earthquake Eng. Struct. Dyn., 28, 463–477.
Structural Engineers Association of California (SEAOC). (1999). “Recommended lateral force requirements and commentary.” Rep., 7th Ed., Seismology Committee, SEAOC.
Uang, C.-M., and Bertero, V. V. (1988). “Implications of recorded earth-quake ground motions on seismic design of building structures.” Report No. UCB/EERC-88/13, Earthquake Engineering Research Center, Univ. of California, Berkeley, Calif.
Uang, C.-M., and Bertero, V. V.(1990). “Evaluation of seismic energy in structures.” Earthquake Eng. Struct. Dyn., 19, 77–90.
Uniform Building Code (UBC). (1997). International Conference of Building Officials, Whittier, Calif., 2.
Wald, D. J., Quitoriano, V., Heaton, T. H., Kanamori, H., Scrivner, C. W., and Worden, C. B.(1999). “TriNet ‘ShakeMaps’: Rapid generation of peak ground motion and intensity maps for earthquakes in southern California.” Earthquake Spectra, 15(3), 537–555.
Williams, M. S., and Sexsmith, R. G.(1995). “Seismic damage indices for concrete structures: A state-of-the-art review.” Earthquake Spectra, 11(2), 319–349.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 129Issue 10October 2003
Pages: 1330 - 1340

History

Received: Feb 13, 2002
Accepted: Nov 4, 2002
Published online: Sep 15, 2003
Published in print: Oct 2003

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Authors

Affiliations

Yousef Bozorgnia, F.ASCE
Principal, Applied Technology & Science (ATS), 5 Third St., Suite 622, San Francisco, CA 94103.
Vitelmo V. Bertero, F.ASCE
Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, CA 94720.

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