Earthquake Duration Effect on Structural Reliability
Publication: Journal of Structural Engineering
Volume 130, Issue 5
Abstract
The duration of ground motion has been shown to have a significant effect on the level of damage sustained by engineered structures during moderate to severe earthquakes. In this technical note, the authors present and apply an approach that makes use of the fundamental structural period, yield strength, and their regressive relationship with the number of reversed deformation cycles during a specified duration. This approach is applied in order to quantify the effect of earthquake duration on structural reliability using (1) a low-cycle damage limit state and (2) an ultimate strength limit state. The theory of order statistics was combined with an extreme value distribution model of the deformation response peaks in order to provide full coupling of the seismic hazard with the structural response. A Monte Carlo simulation framework was utilized to estimate the reliabilities of a suite of elastoplastic oscillators representative of structures having significantly varying heights, ductility, and yield strengths. The low-cycle damage limit state functions were written in terms of a special case of the Park-Ang damage model for elastoplastic oscillators and were expressed in terms of the oscillator characteristics and the four largest peaks of the deformation response. It was concluded based on the mean structural reliability indices for a suite of nonlinear systems that earthquake duration has a significant enough effect that it should be considered in seismic reliability analyses that focus on either low-cycle damage or on ultimate strength.
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References
ASCE. (1998). “Minimum design loads for buildings and other structures.” ASCE 7-98, Reston, Va.
Ayyub, B. M., and McCuen, R. H. (1997). Probability, statistics, and reliability for engineers, CRC Press LLC., Boca Raton, Fla.
Basu, B., Gupta, V. K., and Kundu, D.(1996). “Ordered peak statistics through digital simulation.” Earthquake Eng. Struct. Dyn., 25, 1061–1073.
Benjamin, J. R., and Cornell, C. A. (1970). Probability, statistics, and decision for civil engineers, McGraw Hill, New York.
Cartwright, D. E., and Longuet-Higgins, M. S.(1956). “The statistical distribution of the maxima of a random function.” Proc. R. Soc. London, Ser. A, 237, 173–182.
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.
Chopra, A. K. (2001). Dynamics of structures: Theory and application to earthquake engineering, 2nd Ed., Prentice-Hall, Upper Saddle River, N.J.
Darwin, D., and Nmai, C. K.(1986). “Energy dissipation in RC beams under cyclic load.” J. Struct. Eng., 112(8), 1829–1846.
Jeong, G. D., and Iwan, W. D.(1988). “The effect of earthquake duration on the damage of structures.” Earthquake Eng. Struct. Dyn., 16, 1201–1211.
Krawinkler, H., and Zohrei, M.(1983). “Cumulative damage in steel structures subjected to earthquake ground motions.” Comput. Struct., 16(1–4), 531–541.
Madsen, H. O., Krenk, S., and Lind, N. C. (1986). Methods of structural safety, Prentice-Hall, Englewood Cliffs, N.J.
Niedzwecki, J. M., van de Lindt, J. W., Gage, J. H., and Teigen, P. S.(2000). “Design estimates of surface wave interaction with compliant deepwater platforms.” Ocean Eng., 27, 867–888.
Nielsen, R. J. (1995). “Low-cycle fatigue damage accumulation in structures subjected to multiple earthquakes.” Proc., ICASP 7 Conf., A.A. Balkema, Rotterdam, Vol. 1, 423–427.
Nielsen, R. J., and Long, X.(1993). “Fatigue reliability under nonstationary loads: Model application.” J. Struct. Eng., 119(8), 2441–2460.
Park, Y. J., and Ang, A. H.(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.(1985). “Seismic damage analysis of reinforced concrete buildings.” J. Struct. Eng., 111(4), 740–757.
Rosowsky, D. V.(2002). “Reliability-based seismic design of wood shear walls.” J. Struct. Eng., 128(11), 1439–1453.
Somerville, P., Smith, N., Punyamurthula, S., and Sun, J. (1997). “Development of ground motion time histories for phase 2 of the FEMA/SAC steel project.” SAC Background Document Series Final Rep., Sacramento, Calif.
Tang, J. P., and Yao, J. T. P.(1972). “Expected fatigue damage of seismic structures.” J. Eng. Mech. Div., 98(3), 695–709.
van de Lindt, J. W., and Walz, M. A.(2003). “Development and application of a wood shear wall reliability model.” J. Struct. Eng., 129(3), 405–413.
Vanmarcke, E. H., and Lai, S.-S. P.(1980). “Strong ground motion duration and RMS amplitude of earthquake records.” Bull. Seismol. Soc. Am., 70(4), 1293–1307.
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Copyright © 2004 American Society of Civil Engineers.
History
Received: Oct 7, 2002
Accepted: Jun 11, 2003
Published online: Apr 15, 2004
Published in print: May 2004
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