Input energy spectra based on equivalent peak acceleration of ground motions
Compared to other seismic design methods,the energy method provides a more com-prehensive explanation of structural damage and the underlying structural response during an earthquake.First,a substantial amount of ground motion data collected from the PEER database was categorized into four categories based on site type.Subsequently,using the energy balance equation,energy time-history curves and energy spectra were derived by applying selected seismic waves from various sites to an elastic single-degree-of-freedom system with a damping ratio of 0.05.Finally,based on the input energy magnitude,the input energy spectra for the four sites were reclassified.Additionally,by referencing the theoretical formula for equivalent peak acceler-ation,the peak portions of the energy spectra underwent equivalent linearization,resulting in a four-segment formula that provided a better fit to the data.Results show that the input energy spectra calculated for different site categories exhibit notable differences,indicating a relationship between the input energy spectrum and the site category.As the shear wave velocity of the site soil decreases,the platform value of the mean input energy spectrum increases,with a general shift toward the medium to long period range.After taking the equivalent peak energy,the spec-tral curve typically retains the characteristics of the original curve.
site classificationinput energy spectraequivalent peak acceleration(EPA)four-segment fitting formula