AbstractIn this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measures (mean and variance) of the first order stochastic approximation (Gaussian part) of the stochastic solution processes related to the nonlinear damped Duffing oscillator model which is excited randomly by white noise process. Under the application of WHE, a deterministic model is generated to simulate the statistical measures. In next stages, smi-analytical treatments are performed under applying multi-step differential transformed method (Ms-DTM) and some cases study are illustrated related to the statistical properties using Mathematica10 software
An approximate analytical technique is developed for determining, in closed form, the transition pro...
The first-passage time of Duffing oscillator under combined harmonic and white-noise excitations is ...
Nonlinear vibration systems with adjustable stiffness property have attracted considerable attention...
In this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measure...
AbstractIn this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical...
The basic ideas of the statistical linearization method lies in the replacing a non-linear system by...
[EN] This paper deals with the construction of approximate series solutions of random nonlinear diff...
A numerical method for approximating the statistics of the solution of nonlinear stochastic systems ...
The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian...
This paper analyzes the stochastic stability of a damped Mathieu oscillator subjected to a parametri...
Copyright © 2013 Amnah S. Al-Johani. This is an open access article distributed under the Creative C...
AbstractThis paper deals with the construction of approximate series solutions of random nonlinear d...
AbstractIn this paper, the numerical simulation method is applied to investigate the nonlinear stoch...
Abstract Analytical solutions of nonlinear and higher-dimensional stochastically driven oscillators ...
Cette thèse est consacrée à l'étude des solutions d'équations différentielles stochastiques dirigées...
An approximate analytical technique is developed for determining, in closed form, the transition pro...
The first-passage time of Duffing oscillator under combined harmonic and white-noise excitations is ...
Nonlinear vibration systems with adjustable stiffness property have attracted considerable attention...
In this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical measure...
AbstractIn this paper, the stochastic Wiener Hermite expansion (WHE) is used to find the statistical...
The basic ideas of the statistical linearization method lies in the replacing a non-linear system by...
[EN] This paper deals with the construction of approximate series solutions of random nonlinear diff...
A numerical method for approximating the statistics of the solution of nonlinear stochastic systems ...
The random response of a Duffing oscillator excited by a quadratic polynomial of a filtered Gaussian...
This paper analyzes the stochastic stability of a damped Mathieu oscillator subjected to a parametri...
Copyright © 2013 Amnah S. Al-Johani. This is an open access article distributed under the Creative C...
AbstractThis paper deals with the construction of approximate series solutions of random nonlinear d...
AbstractIn this paper, the numerical simulation method is applied to investigate the nonlinear stoch...
Abstract Analytical solutions of nonlinear and higher-dimensional stochastically driven oscillators ...
Cette thèse est consacrée à l'étude des solutions d'équations différentielles stochastiques dirigées...
An approximate analytical technique is developed for determining, in closed form, the transition pro...
The first-passage time of Duffing oscillator under combined harmonic and white-noise excitations is ...
Nonlinear vibration systems with adjustable stiffness property have attracted considerable attention...