- Volume 1 Issue 2
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Critical earthquake loads for SDOF inelastic structures considering evolution of seismic waves
- Moustafa, Abbas (Department of Civil Engineering, Minia University) ;
- Ueno, Kohei (Department of Urban & Environmental Engineering, Kyoto University) ;
- Takewaki, Izuru (Department of Urban & Environmental Engineering, Kyoto University)
- Received : 2009.11.24
- Accepted : 2010.03.24
- Published : 2010.06.25
The ground acceleration measured at a point on the earth's surface is composed of several waves that have different phase velocities, arrival times, amplitudes, and frequency contents. For instance, body waves contain primary and secondary waves that have high frequency content and reach the site first. Surface waves are composed of Rayleigh and Love waves that have lower phase velocity, lower frequency content and reach the site next. Some of these waves could be of more damage to the structure depending on their frequency content and associated amplitude. This paper models critical earthquake loads for single-degree-of-freedom (SDOF) inelastic structures considering evolution of the seismic waves in time and frequency. The ground acceleration is represented as combination of seismic waves with different characteristics. Each seismic wave represents the energy of the ground motion in certain frequency band and time interval. The amplitudes and phase angles of these waves are optimized to produce the highest damage in the structure subject to explicit constraints on the energy and the peak ground acceleration and implicit constraints on the frequency content and the arrival time of the seismic waves. The material nonlinearity is modeled using bilinear inelastic law. The study explores also the influence of the properties of the seismic waves on the energy demand and damage state of the structure. Numerical illustrations on modeling critical earthquake excitations for one-storey inelastic frame structures are provided.
critical excitation;earthquake acceleration;seismic waves;inelastic structures;ductility;damage indices
Supported by : Japanese Society for the Promotion of Science
- Abbas, A.M. (2006), "Critical seismic load inputs for simple inelastic structures", J. Sound Vib., 296, 949-967. https://doi.org/10.1016/j.jsv.2006.03.021
- Abbas, A.M. and Manohar, C.S. (2002), "Investigations into critical earthquake load models within deterministic and probabilistic frameworks", Earthq. Eng. Struct. D., 31(4), 813-832. https://doi.org/10.1002/eqe.124
- Abbas A.M. and Manohar, C.S. (2007), "Reliability-based vector nonstationary random critical earthquake excitations for parametrically excited systems", Struct. Safe., 29, 32-48. https://doi.org/10.1016/j.strusafe.2005.11.003
- Akiyama, H. (1985), Earthquake-resistant limit-state design for buildings, University of Tokyo Press, Tokyo.
- Amiri, G.G. and Dana, F.M. (2005), "Introduction to the most suitable parameter for selection of critical earthquakes", Comput. Struct., 83(8-9), 613-626. https://doi.org/10.1016/j.compstruc.2004.10.010
- Arias, A. (1970), A measure of earthquake intensity: seismic design of nuclear power plants, Cambridge, MA, MIT press, 438-468.
- Arora, J.S. (2004), Introduction to optimum design, Elsevier Academic Press, San Diego.
- Chopra, A.K. (2007), Dynamics of structures, Prentice-Hall, 3rd edition, NJ.
- Conte, J.P. (1992), "Effects of earthquake frequency nonstationarity on inelastic structural response", Proc. of 10th World Conf. on Earthq. Eng., Rotterdam, A.A. Balkema.
- Conte, J.P. and Peng, B.F. (1997), "Fully nonstationary analytical earthquake ground-motion model", J. Eng. Mech., 123(1), 15-24. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:1(15)
- Cosenza, C., Manfredi, G. and Ramasco, R. (1993), "The use of damage functionals in earthquake engineering: a comparison between different methods", Earthq. Eng. Struct. D., 22, 855-868. https://doi.org/10.1002/eqe.4290221003
- Der Kiureghian, A. (1996), "A coherency model for spatially varying ground motions", Earthq. Eng. Struct. D., 25, 99-111. https://doi.org/10.1002/(SICI)1096-9845(199601)25:1<99::AID-EQE540>3.0.CO;2-C
- Der Kiureghian, A. and Crempien, J. (1989), "An evolutionary model for earthquake ground motion", Struct. Safe., 6, 235-246. https://doi.org/10.1016/0167-4730(89)90024-6
- Drenick, RF. (1970), "Model-free design of aseismic structures", J. Eng. Mech., 96, 483-493.
- Elnashai, A.S. and Sarno, L.D. (2008), Fundamentals of earthquake engineering, Chapter 3: Earthquake input motion, John Wiley & Sons, England.
- Fajfar, P. (1992), "Equivalent ductility factors, taking into account low-cyclic fatigue", Earthq. Eng. Struct. D., 21, 837-848. https://doi.org/10.1002/eqe.4290211001
- Ghobara, A., Abou-Elfath, H. and Biddah, A. (1999), "Response-based damage assessment of structures", Earthq. Eng. Struct. D., 28, 79-104. https://doi.org/10.1002/(SICI)1096-9845(199901)28:1<79::AID-EQE805>3.0.CO;2-J
- He, W.L. and Agrawal, A.K. (2008), "Analytical model of ground motion pulses for the design and assessment of seismic protective systems", J. Struct. Eng., 134(7), 1177-1188. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:7(1177)
- Hudson, J.A. (1969), "A quantitative evaluation of seismic signals at teleseismic distances-II: body waves and surface waves from an extended source", Geophys. J. R. Astr. Soc., 18, 353-370. https://doi.org/10.1111/j.1365-246X.1969.tb03574.x
- Iyengar, R.N. (1970), "Matched inputs", Report 47, Series J, Center for Applied Stochastics, Purdue University, West Lafayete, Indiana.
- Lin, Y.K. and Yong, Y. (1987), "Evolutionary Kanai-Tajimi earthquake models", J. Eng. Mech., 113(8), 1119-1137. https://doi.org/10.1061/(ASCE)0733-9399(1987)113:8(1119)
- Meyer, P., Ochsendorf, J., Germaine, J. and Kausel, E. (2007), "The impact of high-frequency/low-energy seismic waves on unreinforced masonry", Earthq. Spectra, 23, 77-94. https://doi.org/10.1193/1.2431211
- Moustafa, A. (2009a), "Critical earthquake load inputs for multi-degree-of-freedom inelastic structures", J. Sound Vib., 325, 532-544. https://doi.org/10.1016/j.jsv.2009.03.022
- Moustafa, A. (2009b), "Discussion of a new approach of selecting real input ground motions for seismic design: the most unfavorable real seismic design ground motions", Earthq. Eng. Struct. D., 38, 1143-1149. https://doi.org/10.1002/eqe.885
- Moustafa, A. and Takewaki, I. (2009), "Use of probabilistic and deterministic measures to identify unfavorable earthquake records", J. Zhej. Uni.: Science A, 10(5), 619-634.
- Nigam, N.C. and Narayanan, S. (1994), Applications of random vibrations, Chapter 7: Response of structures to earthquakes, Narosa Publishing House, New Delhi.
- Okada, K. and Shibata, T. (2008), Geomechanics, University of Tokyo Press, Tokyo. (in Japanese)
- Park, Y.J. and Ang, A.H.S. (1985), "Mechanistic seismic damage model for reinforced concrete", J. Struct. Eng., 111(4), 722-739. https://doi.org/10.1061/(ASCE)0733-9445(1985)111:4(722)
- Park, Y.J., Ang, A.H.S. and Wen, Y.K. (1987), "Damage-limiting aseismic design of buildings", Earthq. Spectra, 3(1), 1-26. https://doi.org/10.1193/1.1585416
- Powell, G.H. and Allahabadi, R. (1988). "Seismic damage predictions by deterministic methods: concepts and procedures", Earthq. Eng. Struct. D., 16, 719-734. https://doi.org/10.1002/eqe.4290160507
- Shinozuka, M. (1970), "Maximum structural response to seismic excitations", J. Eng. Mech., 96, 729-738.
- Takewaki, I. (2002), "Seismic critical excitation method for robust design: a review", J. Struct. Eng., 128(5), 665-672. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:5(665)
- Takewaki, I. (2004a), "Bound of earthquake input energy", J. Struct. Eng., 130, 1289-1297. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1289)
- Takewaki, I. (2004b), "Critical envelope functions for non-stationary random earthquake input", Comput. Struct., 82(20-21), 1671-1683. https://doi.org/10.1016/j.compstruc.2004.04.004
- Takewaki, I. (2005), "Resonance and criticality measure of ground motions via probabilistic critical excitation method", Soil Dyn. Earthq. Eng., 21(8), 645-659.
- Takewaki, I. (2006), "Probabilistic critical excitation method for earthquake energy input rate", J. Eng. Mech., 132, 990-1000. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:9(990)
- Takewaki, I. (2007), Critical excitation methods in earthquake engineering, Elsevier, Amsterdam, 1-22.
- Uang, C.M. and Bertero, V.V. (1990), "Evaluation of seismic energy in structures", Earthq. Eng. Struct. D., 19, 77-90. https://doi.org/10.1002/eqe.4290190108
- Wang, Z.L., Konietzky, H. and Shen, R.F. (2010), "Analytical and numerical study of P-wave attenuation in rock shelter layer", Soil Dyn. Earthq. Eng., 30(1-2), 1-7. https://doi.org/10.1016/j.soildyn.2009.05.004
- Zahrah, T.F. and Hall, W.J. (1984), "Earthquake energy absorption in SDOF structures", J. Struct. Eng., 110, 1757-1772. https://doi.org/10.1061/(ASCE)0733-9445(1984)110:8(1757)
- Zhai, C.H. and Xie, L.L. (2007), "A new approach of selecting real input ground motions for seismic design: the most unfavourable real seismic design ground motions", Earthq. Eng. Struct. D., 36, 1009-1027. https://doi.org/10.1002/eqe.669
- Towards Narrowing Unexpected Issues in Future Earthquakes: A Review vol.16, pp.5, 2013, https://doi.org/10.1260/1369-43126.96.36.1991
- Closed-Form Overturning Limit of Rigid Block under Critical Near-Fault Ground Motions vol.2, 2016, https://doi.org/10.3389/fbuil.2016.00009
- Critical Earthquake Response of Elastic–Plastic Structures Under Near-Fault Ground Motions (Part 2: Forward-Directivity Input) vol.1, 2015, https://doi.org/10.3389/fbuil.2015.00013
- Closed-Form Critical Earthquake Response of Elastic–Plastic Structures on Compliant Ground under Near-Fault Ground Motions vol.2, 2016, https://doi.org/10.3389/fbuil.2016.00001
- Beyond Uncertainties in Earthquake Structural Engineering vol.1, 2015, https://doi.org/10.3389/fbuil.2015.00001
- Combinatorial continuous non-stationary critical excitation in M.D.O.F structures using multi-peak envelope functions vol.7, pp.6, 2014, https://doi.org/10.12989/eas.2014.7.6.895
- Critical Response of 2DOF Elastic–Plastic Building Structures under Double Impulse as Substitute of Near-Fault Ground Motion vol.2, 2016, https://doi.org/10.3389/fbuil.2016.00002
- Seismic performance investigation of RC piers with lap-spliced longitudinal bars as to aspect ratio vol.18, pp.6, 2014, https://doi.org/10.1007/s12205-014-0586-z
- Critical Earthquake Response of Elastic–Plastic Structures Under Near-Fault Ground Motions (Part 1: Fling-Step Input) vol.1, 2015, https://doi.org/10.3389/fbuil.2015.00012
- Robustness analysis of elastoplastic structure subjected to double impulse vol.383, 2016, https://doi.org/10.1016/j.jsv.2016.07.023
- Critical Double Impulse Input and Bound of Earthquake Input Energy to Building Structure vol.1, 2015, https://doi.org/10.3389/fbuil.2015.00005
- Toward greater building earthquake resilience using concept of critical excitation: A review vol.9, 2013, https://doi.org/10.1016/j.scs.2013.02.001
- Building earthquake resilience in sustainable cities in terms of input energy vol.12, 2014, https://doi.org/10.1016/j.scs.2014.01.004
- Effects of frequency contents of aftershock ground motions on reinforced concrete (RC) bridge columns vol.97, 2017, https://doi.org/10.1016/j.soildyn.2017.02.012
- A method to extract successive velocity pulses governing structural response from long-period ground motion vol.21, pp.6, 2017, https://doi.org/10.1007/s10950-017-9669-x
- Closed-Form Dynamic Stability Criterion for Elastic–Plastic Structures under Near-Fault Ground Motions vol.2, 2016, https://doi.org/10.3389/fbuil.2016.00006
- Critical Input and Response of Elastic–Plastic Structures Under Long-Duration Earthquake Ground Motions vol.1, 2015, https://doi.org/10.3389/fbuil.2015.00015
- Earthquake response spectra estimation of bilinear hysteretic systems using random-vibration theory method vol.8, pp.5, 2015, https://doi.org/10.12989/eas.2015.8.5.1055
- Closure to discussion of critical earthquake load inputs for multi-degree-of-freedom inelastic structures vol.330, pp.2, 2011, https://doi.org/10.1016/j.jsv.2010.09.002