Application of nonnegative matrix factorization in structural random response analysis under earthquake action

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (7) : 188-192.

XU Zidong, WANG Hao, LIANG Ruijun

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Abstract

Ground motion is a typical nonstationary stochastic process, and its energy time-frequency distribution can be described by evolution spectrum. However, time-frequency coupled characteristics of evolution spectrum limit the simulation efficiency of the classical spectral representation method. Here，in order to improve the efficiency of non-stationary ground motion simulation, and simplify the structural random response analysis under non-stationary earthquake, a decoupling scheme of ground motion evolution spectrum based on non-negative matrix factorization was proposed to simplify the calculation of structural response under non-stationary earthquake as superposition of structural random responses under each uniform modulated excitation. Results showed that the decoupling of the evolution spectrum of ground motion based on non-negative matrix factorization has good accuracy; introducing fast Fourier transformation (FFT) technology improves the simulation efficiency of the classical spectral representation method, the auto-correlation function of simulation samples agrees well with the target value, and the frequency domain analysis of structure random responses under the action of nonstationary earthquake is simplified.

Key words

evolution power spectrum / non-negative matrix factorization / fast Fourier transformation (FFT) / ground motion simulation / stochastic response analysis

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XU Zidong, WANG Hao, LIANG Ruijun. Application of nonnegative matrix factorization in structural random response analysis under earthquake action[J]. Journal of Vibration and Shock, 2021, 40(7): 188-192

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