This study presents the estimation of the ductility responses of inelastic SDOF structures to an earthquake motion from the velocity responses of elastic SDOF structures. Based on the energy balance equation, the ductility response and the baseline drift of the inelastic structure can reasonably be estimated from the extrema of the elastic velocity response. Then, the estimation of the maximum ductility is derived by accumulating them. Illustrative examples are presented to show the performance of the proposed ductility estimation. Because the velocity responses of the elastic SDOF structure are correlated with the time-frequency characteristics of the earthquake motion via the velocity response wavelet transform (VRWT), which was previously proposed by the authors, in which the latter are represented in the wavelet-domain using former as time-frequency building blocks, the proposed estimation method may have a potential to help to obtain an in-depth understanding of time-frequency characteristics of the earthquake motion that impacts the ductility responses of the inelastic structure.

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