SUMMARYPerformance-based seismic design requires reliable methods to predict earthquake demands on structures, and particularly inelastic deformations, to ensure that speciÿc damage-based criteria are met. Several methods based on the response of equivalent linear single-degree-of-freedom (SDOF) systems have been proposed to estimate the response of multi-degree-of-freedom structures. These methods do not o er advantages over the traditional Veletsos-Newmark-Hall (VNH) procedure, indeed, they have been shown to be inaccurate. In this study, the VNH method is revised, considering the inelastic response of elastoplastic, bilinear, and sti ness-degrading systems with 5% damping subjected to two sets of earthquake ground motions. One is an ensemble of 51 earthquake records in the Circumpaciÿc Belt, and the other is a group of 44 records in California. A statistical analysis of the response data provides factors for constructing VNH inelastic spectra. Such factors show that the 'equal-displacement' and 'equal-energy' rules to relate elastic and inelastic responses are unconservative for high ductilities in the acceleration-and velocity-sensitive regions of the spectrum. It is also shown that, on average, the e ect of the type of force-deformation relationship of non-linear systems is not signiÿcant, and responses can be conservatively predicted using the simple elastoplastic model.
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