Keywords: near-fault ground motion, power spectral density property, orientation of the strongest pulse, velocity pulse model, stochastic model, synthetic pulse-like ground motions..

Firstly, the power spectral density (PSD) for near-fault impulsive and non-pulse ground motions is calculated and analyzed. Compared with the PSD of far-fault ground motions, the PSD for near-fault pulse-like motions has the maximum peak value and more energy concentration in the low-frequency region. A PSD model based on the physical process is derived to fit the average PSD of near-fault ground motions. Next, to simulate the long-period velocity pulse in near-fault motions, a randomly analytic pulse function is suggested to fit the velocity time history in the orientation of the strongest pulse. Moreover, a new stochastic model to generate near-fault ground motions is established consisting of a velocity pulse and the residual high-frequency velocity time history. The high-frequency velocity history is achieved by integrating a stochastic high-frequency accelerogram, which is generated using the suggested PSD model and then modulated by the specific envelope function. Finally, numerical examples demonstrate that the synthetic nearfault ground motions generated by the proposed stochastic model can represent their impulsive characteristic.

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