Optimization-oriented exponential-polynomial-closure approach for analyzing nonlinear stochastic oscillators
A novel method named optimization-oriented exponential-polynomial-closure approach is
proposed in this article. The main idea of this attempt is to extend the original exponential …
proposed in this article. The main idea of this attempt is to extend the original exponential …
A novel stochastic approach to investigate the probabilistic characteristics of the ship roll system with sinusoidal restoring force
GP Bai, GK Er, VP Iu - Reliability Engineering & System Safety, 2024 - Elsevier
A novel constrained optimization-oriented exponential-polynomial-closure (CO-EPC)
method is developed to investigate the ship roll-motion with non-smooth damping and …
method is developed to investigate the ship roll-motion with non-smooth damping and …
Path integral solution of vibratory energy harvesting systems
W Jiang, P Sun, G Zhao, L Chen - Applied Mathematics and Mechanics, 2019 - Springer
Abstract A transition Fokker-Planck-Kolmogorov (FPK) equation describes the procedure of
the probability density evolution whereby the dynamic response and reliability evaluation of …
the probability density evolution whereby the dynamic response and reliability evaluation of …
Investigation on optimization-oriented EPC method in analyzing the non-linear oscillations under multiple excitations
GP Bai, ZX Ren, GK Er, VP Iu - International Journal of Non-Linear …, 2024 - Elsevier
The optimization-oriented exponential-polynomial-closure (OEPC) method is extended and
investigated to analyze stochastic nonlinear oscillators under multiple excitations, with the …
investigated to analyze stochastic nonlinear oscillators under multiple excitations, with the …
Probabilistic analysis of nonlinear oscillators under correlated multi-power velocity multiplicative excitation and additive excitation
GP Bai, GK Er, VP Iu - Nonlinear Dynamics, 2024 - Springer
This paper adopts an optimization-oriented exponential-polynomial-closure (OEPC)
approach for conducting probabilistic analyses of oscillators under correlated multi-power …
approach for conducting probabilistic analyses of oscillators under correlated multi-power …
Optimization-Oriented EPC Approach for Analyzing the Stochastic Nonlinear Oscillators with Displacement-Multiplicative and Additive Excitations
This paper presents a new approach named optimization-oriented exponential–polynomial-
closure (OEPC) to study the behavior of stochastic nonlinear oscillators under both …
closure (OEPC) to study the behavior of stochastic nonlinear oscillators under both …
Accurate transient response of non-smoothly nonlinear system driven by multiplicative and additive modulated stochastic excitations
The accurate transient probability density functions (PDFs) of the non-smoothly dynamical
systems driven by both multiplicative and additive modulated stochastic excitations are …
systems driven by both multiplicative and additive modulated stochastic excitations are …
Probabilistic solutions of a stretched beam discretized with finite difference scheme and excited by Kanai–Tajimi ground motion.
GK Er, VP Iu, HE Du - Archives of Mechanics, 2019 - search.ebscohost.com
Abstract THE PROBABILISTIC SOLUTIONS of the elastic stretched beam are studied under
the excitation of Kanai–Tajimi ground motion. Finite difference scheme is adopted to …
the excitation of Kanai–Tajimi ground motion. Finite difference scheme is adopted to …
Non-stationary response of variable-mass Duffing oscillator with mass disturbance modeled as Gaussian white noise
J Cui, WA Jiang, ZW Xia, LQ Chen - Physica A: Statistical Mechanics and its …, 2019 - Elsevier
This paper investigates the probability density evolution process of a variable-mass Duffing
oscillator with mass disturbance modeled as Gaussian white noise. For small mass …
oscillator with mass disturbance modeled as Gaussian white noise. For small mass …
Probabilistic solutions of a variable-mass system under random excitations
WA Jiang, XJ Han, LQ Chen, QS Bi - Acta Mechanica, 2020 - Springer
The stationary probability density function (PDF) solution of a variable-mass system is
calculated under Gaussian white noises and Poisson white noises, respectively. For small …
calculated under Gaussian white noises and Poisson white noises, respectively. For small …