Evaluation of Damage and P-Δ Effects for Systems Under Earthquake Excitation
Publication: Journal of Structural Engineering
Volume 129, Issue 8
Abstract
The analysis of a degrading dynamic system is presented, and the damage-dependent response characteristics of the model structure are explored. Results from this study show that seismically induced P-Δ effects can significantly affect structural response, even for small amplitudes of axial load. Additionally, this study demonstrates that the rate of damage accumulation, and not necessarily the magnitude of damage, has the greatest impact on the deformation of the model structure. Moreover, research findings indicate that reliance on displacement ductility or drift as the only measure of performance may not be reliable when damage-dependent response is considered.
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References
Aschheim, M., and Black, E.(1999). “Effects of prior earthquake damage on response of simple stiffness-degrading structures.” Earthquake Spectra, 15(1), 1–24.
Awkar, J. C., and Lui, E. M.(1999). “Seismic analysis and response of multistory semirigid frames.” Eng. Struct., 21(5), 425–441.
Baber, T. T., and Wen, Y. K.(1981). “Random vibration hysteretic, degrading systems.” J. Eng. Mech. Div., 107(6), 1069–1087.
Ballio, G., and Castiglioni, C. A.(1994). “An approach to the seismic design of steel structures based on cumulative damage criteria.” Earthquake Eng. Struct. Dyn., 23(9), 969–986.
Bernal, D.(1987). “Amplification factors for inelastic dynamic P-Δ effects in earthquake analysis.” Earthquake Eng. Struct. Dyn., 15(5), 635–651.
Building Seismic Safety Council for the Federal Emergency Management Agency. (FEMA). (1997). NEHRP (National Earthquake Hazards Reduction Program) recommended provisions for seismic regulations for new buildings and other structures, 1997 Ed., Part 1: Provisions (FEMA 302). Building Seismic Safety Council, Washington, D.C.
Building Seismic Safety Council for the Federal Emergency Management Agency. (FEMA). (1997). NEHRP (National Earthquake Hazards Reduction Program) Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, 1997 Ed., Part II: Commentary (FEMA 303). Building Seismic Safety Council, Washington, D.C.
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(10), 855–868.
Fajfar, P.(1992). “Equivalent ductility factors, taking into account low-cycle fatigue.” Earthquake Eng. Struct. Dyn., 21(10), 837–848.
Gupta, A., and Krawinkler, H.(2000). “Dynamic P-delta effects for flexible inelastic steel structures.” J. Struct. Eng., 126(1), 145–154.
Hindi, R. A., and Sexsmith, R. G.(2001). “A proposed damage model for RC bridge columns under cyclic loading.” Earthquake Spectra, 17(2), 235–260.
Hjelmstad, K. D., and Williamson, E. B.(1997). “Dynamic stability of structural systems subjected to base excitation.” Eng. Struct., 20(4–6), 425–432.
Jones, N., and Reis, M.(1980). “On the dynamic buckling of a simple elastoplastic model.” Int. J. Solids Struct., 16(11), 969–989.
Judge, J., and Pratrap, R.(1998). “Asymptotic states of a bilinear hysteretic oscillator in a fully dissipative phase space.” J. Sound Vib., 218(3), 548–557.
Kachanov, L. M. (1986). Introduction to continuum damage mechanics, Martinus Nijhoff, Dordrecht, The Netherlands.
Kim, K. (1995). “Development of analytical models for earthquake analysis of steel moment frames.” PhD dissertation, Univ. of Texas at Austin, Austin, Tex.
Kutt, T., and Bieniek, M. P.(1988). “Cumulative damage and fatigue life prediction.” AIAA J., 26(2), 213–219.
Leelataviwat, S., Goel, S. C., and Stojadinovic, B.(1999). “Toward performance-based seismic design of structures.” Earthquake Spectra, 15(3), 435–462.
Lemaitre, J., and Chaboche, J.-L. (1994). Mechanics of solid materials, Cambridge University, Cambridge, England.
Loh, C., and Ho, R.(1990). “Seismic damage assessment based on different hysteretic rules.” Earthquake Eng. Struct. Dyn., 19(5), 753–771.
MacRae, G. A.(1994). “P-Δ effects on single-degree-of-freedom structures in earthquakes.” Earthquake Spectra, 10(3), 539–568.
McCabe, S. L., and Hall, W. J.(1989). “Assessment of seismic structural damage.” J. Struct. Div., ASCE, 115(9), 2166–2183.
Mizuno, E., Shen, C., Tanaka, Y., and Usami, T. (1992). “A uniaxial stress-strain model for structural steels under cyclic loading.” Stability and ductility of steel structures under cyclic loading, Y. Fukamato and G. C. Lee, eds., CRC, Boca Raton, Fla., 37–48.
Newmark, N. M., and Hall, W. J. (1982). Earthquake spectra and design, Earthquake Engineering Research Institute, Berkeley, Calif.
Otani, S.(1999). “RC building damage statistics and SDF response with seismic design forces.” Earthquake Spectra, 15(3), 485–502.
Pacific Earthquake Engineering Research (PEER) Center. (2001). 〈http://peer.berkeley.edu〉.
Park, Y.-J., and Ang, A.(1985). “Mechanistic seismic damage model for reinforced concrete.” J. Struct. Eng., 111(4), 722–739.
Simo, J. C., and Ju, J. W.(1987a). “Strain-and stress-based continuum damage models. I: Formulation.” Int. J. Solids Struct., 23(7), 821–840.
Simo, J. C., and Ju, J. W.(1987b). “Strain-and stress-based continuum damage models. II: Computational aspects.” Int. J. Solids Struct., 23(7), 821–840.
Sugiura, K., Chang, K. C., and Lee, G. C.(1991). “Evaluation of low-cycle fatigue strength of structural metals.” J. Eng. Mech., 117(10), 2373–2383.
Sun, C. K., Berg, G. V., and Hanson, R. D.(1973). “Gravity-effect on single-degree inelastic system.” J. Eng. Mech. Div., 99(1), 183–200.
Takeda, T., Sozen, M., and Nielson, N. N.(1970). “Reinforced concrete response to simulated earthquakes.” J. Struct. Div., ASCE, 96(ST12), 2557–2573.
Tremblay, R., Duval, C., and Léger, P. (1998). “Effects of viscous damping models, hysteretic models, and ground motion characteristics on seismic P-delta strength amplification factors.” Stability and ductility of steel structures, T. Usami and Y. Itoh, eds., Elsevier, Oxford, U.K., 103–118.
Williamson, E. B., and Hjelmstad, K. D. (1996). “Dynamic stability of damage-prone inelastic structural systems.” Civil Engineering Studies, Structural Research Series No. 609, Univ. of Illinois, Urbana, Ill.
Wilson, E. L., and Habibullah, A.(1987). “Static and dynamic analysis of multi-story buildings including P-delta effects.” Earthquake Spectra, 3(2), 289–298.
Vision 2000-A framework for performance based earthquake engineering. (1995). Structural Engineers Association of California, Sacramento, Calif.
Yue, Y., and Zheng, J.(1992). “Dynamic elastic-plastic buckling behavior illustrated by simple model.” J. Eng. Mech., 118(10), 2005–2016.
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Information
Published In
Journal of Structural Engineering
Volume 129 • Issue 8 • August 2003
Pages: 1036 - 1046
Copyright
Copyright © 2003 American Society of Civil Engineers.
History
Received: Aug 20, 2001
Accepted: May 30, 2002
Published online: Jul 15, 2003
Published in print: Aug 2003
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