2011Dizhen gongcheng yu gongcheng zhendongRequires access

Simulation of non-stationary artificial seismic ground motions based on HHT theory

Xun Zhang

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Abstract

The artificial seismic ground motions have been synthesized by the use of trigonometric series and time varying power spectrum,which is estimated by the Hilbert-Huang Transform(HHT) theory.The method proposed is different from the traditional procedure,which synthesizes non-stationary artificial seismic ground motion by strength modulation function.It can reflect the energy contribution characteristics on the time-frequency plane and the artificial seismic ground motion is non-stationary both in time and frequency domains.At the same time,the HHT is compared with short-time Fourier transform(STFT) and multi-filter,the comparison results demonstrate that the HHT has higher time-frequency resolution capability and greater advantage in speed and accuracy for estimating the time varying power spectrum.It's more suitable to simulate artificial seismic ground motion.

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What this paper is about

The artificial seismic ground motions have been synthesized by the use of trigonometric series and time varying power spectrum,which is estimated by the Hilbert-Huang Transform(HHT) theory.The method proposed is different from the traditional procedure,which synthesizes non-stationary artificial seismic ground motion by strength modulation function.It can reflect the energy contribution characteristics on the time-frequency plane and the artificial seismic ground motion is non-stationary both in time and frequency domains.At the same time,the HHT is compared with short-time Fourier transform(STFT) and multi-filter,the comparison results demonstrate that the HHT has higher time-frequency resolution capability and greater advantage in speed and accuracy for estimating the time varying power spectrum.It's more suitable to simulate artificial seismic ground motion.

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Available abstract

The artificial seismic ground motions have been synthesized by the use of trigonometric series and time varying power spectrum,which is estimated by the Hilbert-Huang Transform(HHT) theory.The method proposed is different from the traditional procedure,which synthesizes non-stationary artificial seismic ground motion by strength modulation function.It can reflect the energy contribution characteristics on the time-frequency plane and the artificial seismic ground motion is non-stationary both in time and frequency domains.At the same time,the HHT is compared with short-time Fourier transform(STFT) and multi-filter,the comparison results demonstrate that the HHT has higher time-frequency resolution capability and greater advantage in speed and accuracy for estimating the time varying power spectrum.It's more suitable to simulate artificial seismic ground motion.

Key concepts: Short-time Fourier transform, Spectral density, Fourier transform, Trigonometric series, Time–frequency analysis, Hilbert–Huang transform, Filter (signal processing), Ground motion

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