The Library

Dimensional response analysis of bilinear systems subjected to non-pulselike earthquake ground motions

Tools

Karavasilis, Theodore L., Seo, Choung-Yeol and Makris, Nicos. (2011) Dimensional response analysis of bilinear systems subjected to non-pulselike earthquake ground motions. Journal of Structural Engineering, Vol.137 (No.5). pp. 600-606. ISSN 0733-9445

Preview

PDF
WRAP_karavasilis_nonpulselike.pdf - Accepted Version - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (255Kb)

Official URL: http://dx.doi.org/10.1061/(ASCE)ST.1943-541X.00003...

Abstract

The maximum inelastic response of bilinear single-degree-of-freedom systems when subjected to ground motions without distinguishable pulses is revisited with dimensional analysis by identifying time scales and length scales in the time histories of recorded ground motions. The characteristic length scale is used to normalize the peak inelastic displacement of the bilinear system. The paper adopts the mean period of the Fourier transform of the ground motion as an appropriate time scale and examines two different length scales which result from the peak ground acceleration and the peak ground velocity. When the normalized peak inelastic displacement is presented as a function of the normalized strength and normalized yield displacement, the response becomes self similar and a clear pattern emerges. Accordingly, the paper proposes two alternative predictive master curves for the response which involve solely the strength and yield displacement of the bilinear SDOF system in association with either the peak ground acceleration or the peak ground velocity, together with the mean period of the Fourier transform of the ground motion. The regression coefficients that control the shape of the predictive master curves are based on 484 ground motions recorded at rock and stiff soil sites and are applicable to bilinear SDOF systems with post-yield stiffness ratio equal to 2% and inherent viscous damping ratio equal to 5%.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics T Technology > TA Engineering (General). Civil engineering (General)
Divisions:	Faculty of Science > Engineering
Library of Congress Subject Headings (LCSH):	Earthquakes -- Mathematical models, Earthquake engineering
Journal or Publication Title:	Journal of Structural Engineering
Publisher:	American Society of Civil Engineers
ISSN:	0733-9445
Date:	2011
Volume:	Vol.137
Number:	No.5
Number of Pages:	7
Page Range:	pp. 600-606
Identification Number:	10.1061/(ASCE)ST.1943-541X.0000305
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
References:	Akkar S, Kucukdogan B. Direct use of PGV for estimating peak nonlinear oscillator displacements. Earthquake Engineering and Structural Dynamics 2008; 37:1411-1433. Akkar S, Ozen O. Effect of peak ground velocity on deformation demands for SDOF systems. Earthquake Engineering and Structural Dynamics 2005; 34(13):1551-1571. Applied Technology Council (ATC). Seismic evaluation and retrofit of concrete buildings. Report No. ATC-40, Redwood City, CA, 1996. Baker J. (2007). Quantitative classification of near-fault ground motions using wavelet analysis. Bulletin of Seismological Society of America 97(5):1486-1501. Barenblatt GI (1996). Scaling, Self Similarity, and Intermediate Asymptotics. Cambridge University Press: Cambridge, United Kingdom, 1996. Boore DM, Atkinson GM. Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s. Earthquake Spectra 2008; 24(1):99-138. Chopra AK, Chintanapakdee C. Inelastic deformation ratios for design and evaluation of structures: single-degree-of-freedom bilinear systems. Journal of Structural Engineering 2004; 130(9):1309-1319. Dimitrakopoulos EG, Kappos AJ, Makris N. Dimensional response analysis of structures for records without distinct pulses. Modeling of Structures, International Scientific Symposium, Bosnia, Monstar, 13-15 November, 2008. Federal Emergency Management Agency (FEMA). NEHRP Guidelines for the Seismic Rehabilitation of Buildings. Report No. FEMA-273 (Guidelines) and Report No. FEMA-274 (Commentary), Washington, DC, 1997. Federal Emergency Management Agency (FEMA). Improvement of nonlinear static seismic analysis procedures. FEMA-440 (ATC-55 Project), Washington, DC, 2004. Iwan WD. Estimating inelastic response spectra from elastic spectra. Earthquake Engineering and Structural Dynamics 1980; 8:375-388. Karavasilis TL, Makris N, Bazeos N, Beskos DE (2010). Dimensional response analysis of multi-storey regular steel MRF subjected to pulse-like earthquake ground motions. Journal of Structural Engineering, in press. Langhaar HL (1951). Dimensional Analysis and Theory of Models. Wiley: New York, NY Makris N, Black CJ. Dimensional analysis of rigid-plastic and elastoplastic structures under pulse-type excitations. Journal of Engineering Mechanics 2004a; 130(9):1006-1018. Makris N, Black CJ. Dimensional analysis of bilinear oscillators under pulse-type excitations. Journal of Engineering Mechanics 2004b; 130(9):1019-1031. Makris N, Black CJ. Evaluation of peak ground velocity as a “good” intensity measure for near-source ground motions. Journal of Engineering Mechanics (ASCE) 2004c; 130(9): 1032-1044. Makris N, Psychogios T. Dimensional response analysis of yielding structures with first-mode dominated response. Earthquake Engineering and Structural Dynamics 2006; 35:1203-1224. Mavroeidis GP, Papageorgiou AS. (2003). A mathematical representation of near-fault ground motions. Bulletin of Seismological Society of America 93(3):1099-1131. Mylonakis G, Voyagaki E. Yielding oscillator subjected to simple pulse waveforms: numerical analysis & closed-form solutions. Earthquake Engineering and Structural Dynamics 2006; 35:1949-1974. MATLAB: The language of technical computing, Version 5.0. The Mathworks Inc., Natick, Mass, 1997. Pacific Earthquake Engineering Research Center (PEER). http://peer.berkeley.edu/smcat. Rathje EM, Faraj F, Russell S, Bray JD. Empirical relationships for frequency content parameters of earthquake ground motions. Earthquake Spectra 2004; 20(1): 119-144. Riddell R. On ground motion intensity indices. Earthquake Spectra 2007; 23(1):147-173. Ruiz-Garcia J, Miranda E. Inelastic displacement ratios for evaluation of existing structures. Earthquake Engineering and Structural Dynamics 2003; 32(8):1237-1258. Veletsos A, Newmark NM. Effect of inelastic behaviour on response of simple systems to earthquake motions. Proceedings of the 2nd World Conference on Earthquake Engineering, vol. II, Tokyo, Japan, 1960; 895-912. Veletsos AS, Newmark NM, Chelepati CV (1965). Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motions. Proceedings of the 3rd World Conference on Earthquake Engineering, Vol. II, Wellington, New Zealand, 663-682.
URI:	http://wrap.warwick.ac.uk/id/eprint/40236