Probabilistic Earthquake Energy Spectra Equations

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Abstract
The response of a lightly damped linear structure to a broad-band nonstationary random process with evolutionary spectral density is considered. A first-order stochastic differential equation governing the time evolution of the structural energy is derived. Utilizing this equation a readily applicable equation for the determination of the mean energy is obtained. Nonstationary random processes proposed in the literature for the simulation of earthquakes are examined in detail, and equations for the construction of probabilistic energy spectra are presented.

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