Investigation on the accuracy of the N2 method and the equivalent linearization procedure for different hysteretic models |
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| Institution: | 1. Department of Engineering and Architecture, University of Trieste, Piazzale Europa n.1, 34127 Trieste (TS), Italy;2. Department of Architecture, Design and Urban Planning, University of Sassari, Piazza Duomo n.6, 07041 Alghero (SS), Italy;3. Department of Civil, Construction-Architectural & Environmental Engineering, University of L’Aquila, Via Giovanni Gronchi 18-Zona industriale di Pile, 67100 L?Aquila (AQ), Italy;1. School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran;2. Center of Excellence for Fundamental Studies in Structural Engineering, School of Civil Engineering, Iran University of Science and Technology, Tehran, Iran;1. Faculty of Geomatics Engineering, Department of Geodesy, K. N. Toosi University of Technology, Iran;2. School of Civil Engineering, College of Engineering, University of Tehran, Iran;1. Geological Survey of Canada, Natural Resources Canada, 490 rue de la Couronne, Quebec, Quebec, Canada G1K 9A9;2. Department of Earth Sciences, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada N2L 3G1 |
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| Abstract: | In this paper, an extensive parametric study was carried out to evaluate the dynamic response of single degree of freedom (SDOF) systems with elasto-plastic and flag-shape hysteretic behaviour for three different dissipation capacities. Three sets of natural accelerograms were used, each one composed by at least 7 records which are on average spectrum-consistent in pseudo-acceleration, spectral displacement or both of them. All sets were also employed to draw the inelastic spectra for different ductility values. Such rigorous spectra were then compared with the approximated curves calculated using the N2 method and the Equivalent Linearization Procedure (ELP) based on the use of overdamped elastic spectra.The analyses demonstrate a general accuracy of the N2 method, which is mostly based on the ductility of the system, even for the hysteretic behaviour characterised by reduced energy dissipation. Larger discrepancies were found for systems with lower damping ratios and reduced fundamental periods. The ELP, which mainly depends upon the dissipated energy, led instead to overall slightly larger discrepancies than the N2 method, particularly for not dissipative and ductile systems, whereas the approximation is generally acceptable for elasto-plastic systems. |
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| Keywords: | N2 method Equivalent linearization procedure Inelastic spectra Seismic design Earthquake resistance Hysteretic models |
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