2022
DOI: 10.1177/10775463221089424
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Investigation on the EPC method in analyzing the nonlinear oscillators under both harmonic and Gaussian white noise excitations

Abstract: The objective of the current paper is to study and extend the exponential-polynomial-closure (EPC) method in analyzing the non-stationary response probabilistic solutions of nonlinear stochastic oscillators excited by combined deterministic harmonic and Gaussian white noise excitations. The probabilistic solution of the non-stationary responses of nonlinear stochastic oscillator is expressed as an exponential function of polynomial with time-variant coefficients and then the Fokker–Planck–Kolmogorov equation i… Show more

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Cited by 2 publications
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