TECHNICAL PAPERS
Jan 28, 2010

Dimensional Response Analysis of Multistory Regular Steel MRF Subjected to Pulselike Earthquake Ground Motions

Publication: Journal of Structural Engineering
Volume 136, Issue 8

Abstract

An alternative and efficient procedure to estimate the maximum inelastic roof displacement and the maximum inelastic interstory drift ratio along the height of regular multistory steel MRF subjected to pulselike ground motions is proposed. The method and the normalized response quantities emerge from formal dimensional analysis which makes use of the distinct time scale and length scale that characterize the most energetic component of the ground shaking. Such time and length scales emerge naturally from the distinguishable pulses which dominate a wide class of strong earthquake records and can be formally extracted with validated mathematical models published in literature. The proposed method is liberated from the maximum displacement of the elastic single-degree-of-freedom structure since the self-similar master curve which results from dimensional analysis involves solely the shear strength and yield roof displacement of the inelastic multidegree-of-freedom system in association with the duration and acceleration amplitude of the dominant pulse. The estimated inelastic response quantities are in superior agreement with the results from nonlinear time-history analysis than any inelastic response estimation published previously.

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References

Akkar, S., Yazgan, U., and Gülkan, P. (2005). “Drift estimates in frame buildings subjected to near-fault ground motions.” J. Struct. Eng., 131(7), 1014–1024.
Alavi, B., and Krawinkler, H. (2004). “Behavior of moment-resisting frame structures subjected to near-fault ground motions.” Earthquake Eng. Struct. Dyn., 33, 687–706.
Androic, B., Dzeba, I., and Dujmovic, D. (2000). International structural steel sections: Design tables according to Eurocode 3, Ernst & Sohn, Berlin.
Applied Technology Council (ATC). (1996). “Seismic evaluation and retrofit of concrete buildings.” Rep. No. ATC-40, Redwood City, Calif.
Barenblatt, G. I. (1996). Scaling, self similarity, and intermediate asymptotics, Cambridge University Press, Cambridge, U.K.
Bertero, V. V., Mahin, S. A., and Herrera, R. A. (1978). “Aseismic design implications of near-fault San Fernando earthquake records.” Earthquake Eng. Struct. Dyn., 6(1), 31–42.
Chopra, A. K., and Chintanapakdee, C. (2003). “Comparing response of SDF systems to near-fault and far-fault earthquake motions in the context of spectral regions.” Earthquake Eng. Struct. Dyn., 30, 1769–1789.
Chopra, A. K., and Chintanapakdee, C. (2004). “Inelastic deformation ratios for design and evaluation of structures: Single-degree-of-freedom bilinear systems.” J. Struct. Eng., 130(9), 1309–1319.
Chopra, A. K., and Goel, R. K. (2002). “A modal pushover analysis procedure for estimating seismic demands for buildings.” Earthquake Eng. Struct. Dyn., 31(3), 561–582.
Chopra, A. K., Goel, R. K., and Chintanapakdee, C. (2003). “Statistics of single-degree-of-freedom estimate of displacement for pushover analysis of buildings.” J. Struct. Eng., 129(4), 459–469.
Computers and Structures Inc. (2005). SAP2000: Static and dynamic finite element analysis of structures. Version 9.1.4, Berkeley, Calif.
European Committee for Standardization (CEN). (1992). “Eurocode 3 (EC3). Design of steel structures, part 1.1: General rules for buildings.” EUROPEAN Prestandard ENV 1993-1-1/1992, Brussels, Belgium.
European Committee for Standardization (CEN). (2004). “Eurocode 8 (EC8). Design of structures for earthquake resistance. Part 1: General rules, seismic actions and rules for buildings.” European Standard EN 1998-1, Stage 51 Draft, Brussels.
FEMA. (1997). “NEHRP guidelines for the seismic rehabilitation of buildings.” Rep. No. FEMA-273 (Guidelines) and Rep. No. FEMA-274 (Commentary), Washington, D.C.
FEMA. (2000). “Prestandard and commentary for the seismic rehabilitation of buildings.” Rep. No. FEMA-356, Washington, D.C.
FEMA. (2004). “Improvement of nonlinear static seismic analysis procedures.” FEMA-440 (ATC-55 Project), Washington, D.C.
Gupta, A., and Krawinkler, H. (1999). “Seismic demands for performance evaluation of steel moment resisting frame structures.” Rep. No. 132, John A. Blume Earthquake Engineering Centre, Dept. of Civil Engineering, Stanford Univ., Stanford, Calif.
Hall, J. F., Heaton, T. H., Halling, M. W., and Wald, D. J. (1995). “Near-source ground motion and its effects on flexible buildings.” Earthquake Spectra, 11(4), 569–605.
Kalkan, E., and Kunnath, S. K. (2006). “Effects of fling step and forward directivity on seismic response of buildings.” Earthquake Spectra, 22(2), 367–390.
Karavasilis, T. L., Bazeos, N., and Beskos, D. E. (2007). “Estimation of seismic drift and ductility demands in planar regular X-braced steel frames.” Earthquake Eng. Struct. Dyn., 36(15), 2273–2289.
Langhaar, H. L. (1951). Dimensional analysis and theory of models, Wiley, New York.
Makris, N. (1997). “Rigidity-plasticity-viscosity: Can electrorheological dampers protect base-isolated structures from near-source ground motions?” Earthquake Eng. Struct. Dyn., 26, 571–591.
Makris, N., and Black, C. J. (2004a). “Dimensional analysis of bilinear oscillators under pulse-type excitations.” J. Eng. Mech., 130(9), 1019–1031.
Makris, N., and Black, C. J. (2004b). “Dimensional analysis of rigid-plastic and elastoplastic structures under pulse-type excitations.” J. Eng. Mech., 130(9), 1006–1018.
Makris, N., and Chang, S. (2000). “Effect of viscous, visco-plastic and friction damping on the response of seismic isolated structures.” Earthquake Eng. Struct. Dyn., 29, 85–107.
Makris, N., and Psychogios, T. (2006). “Dimensional response analysis of yielding structures with first-mode dominated response.” Earthquake Eng. Struct. Dyn., 35, 1203–1224.
The Mathworks Inc. (1997). MATLAB: The language of technical computing, version 5.0, Natick, Mass.
Mavroeidis, G. P., Dong, G., and Papageorgiou, A. S. (2004). “Near-fault ground motions, and the response of elastic and inelastic single-degree-of-freedom (SDOF) systems.” Earthquake Eng. Struct. Dyn., 33, 1023–1049.
Mavroeidis, G. P., and Papageorgiou, A. S. (2003). “A mathematical representation of near-fault ground motions.” Bull. Seismol. Soc. Am., 93(3), 1099–1131.
Miranda, E. (1999). “Approximate seismic lateral deformation demands in multistorey buildings.” J. Struct. Eng., 125(4), 417–425.
Miranda, E., and Bertero, V. V. (1994). “Evaluation of strength reduction factors for earthquake-resistant design.” Earthquake Spectra, 10(2), 357–379.
Miranda, E., and Reyes, C. (2002). “Approximate lateral drift demands in multistory buildings with non-uniform stiffness.” J. Struct. Eng., 128(7), 840–849.
Mylonakis, G., and Voyagaki, E. (2006). “Yielding oscillator subjected to simple pulse waveforms: Numerical analysis and closed-form solutions.” Earthquake Eng. Struct. Dyn., 35, 1949–1974.
Newmark, N. M., and Hall, W. J. (1969). “Seismic design criteria for nuclear reactor facilities.” Proc., 4th World Conf. on Earthquake Engineering, Santiago, Chile, 37–50.
Okamoto, S. (1984). Introduction to earthquake engineering, 2nd Ed., Tokyo University Press, Tokyo.
Prakash, V., Powell, G. H., and Campell, S. (1993). DRAIN-2DX. Base program description and user guide. Version 1.1, Univ. of California at Berkeley, Calif.
Priestley, M. J. N., Calvi, G. M., and Kowalsky, M. J. (2001). Displacement-based seismic design of structures, IUSS Press, Istituto Universitario di Studi Superiori di Pavia, Italy.
Riddell, R., and Newmark, N. M. (1979). “Statistical analysis of the response of nonlinear systems subjected to earthquakes.” Structural research series no. 468, Dept. of Civil Engineering, Univ. of Illinois at Urbana-Champaign, Urbana, Ill.
Ruiz-García, J., and Miranda, E. (2003). “Inelastic displacement ratios for evaluation of existing structures.” Earthquake Eng. Struct. Dyn., 32(8), 1237–1258.
Tjhin, T., Aschheim, M., and Hernandez-Montes, E. (2005). “Estimates of peak roof displacement using equivalent single degree of freedom systems.” J. Struct. Eng., 131(3), 517–522.
Vassiliou, M. F., and Makris, N. (2009). “Estimating time scales and length scales in earthquake acceleration records with the extended wavelet transform.” Rep. No. EEAM 2009-01, Univ. of Patras, Patras, Greece.
Veletsos, A., and Newmark, N. M. (1960). “Effect of inelastic behaviour on response of simple systems to earthquake motions.” Proc., 2nd World Conf. on Earthquake Engineering, Tokyo, 855–912.
Veletsos, A. S., Newmark, N. M., and Chelepati, C. V. (1965). “Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions.” Proc., 3rd World Conf. on Earthquake Engineering, Vol. II, Wellington, New Zealand, 663–682.
Vidic, T., Fajfar, P., and Fishinger, M. (1994). “Consistent inelastic design spectra: Strength and displacement.” Earthquake Eng. Struct. Dyn., 23(5), 507–521.

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Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 136Issue 8August 2010
Pages: 921 - 932

History

Received: Nov 18, 2008
Accepted: Jan 24, 2010
Published online: Jan 28, 2010
Published in print: Aug 2010

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Authors

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Theodore L. Karavasilis [email protected]
Dept. Lecturer in Civil Engineering, Dept. of Engineering Science, Univ. of Oxford, Oxford OX1 3PJ, U.K. E-mail: [email protected]
Nicos Makris, M.ASCE [email protected]
Professor of Structural Engineering and Applied Mechanics, Dept. of Civil Engineering, Univ. of Patras, 26500 Patras, Greece (corresponding author). E-mail: [email protected]
Nikitas Bazeos [email protected]
Associate Professor of Structural Engineering, Dept. of Civil Engineering, Univ. of Patras, 26500 Patras, Greece. E-mail: [email protected]
Dimitri E. Beskos, F.ASCE [email protected]
Professor of Structural Engineering, Dept. of Civil Engineering, Univ. of Patras, 26500 Patras, Greece. E-mail: [email protected]

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