الفهرس 
CHAPTER 1 : General IntroductionOnly 14 pages are availabe for public view
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Abstract
In recent years, the analysis of the nonlinear oscillator subjected to random excitation has been studied by many investigators. Some examples related to this phenomena simulate the vibrational studies of mechanical, electrical systems, earthquake disturbances, wind load in structural analysis, noise-corrupted signals in communication theory, and the motion of the sea or ground roughness in vehicle dynamics. This phenomena is described by a stochastic differential equation under deterministic initial conditions and its solution has a behavior of stochastic process due to existing an external stochastic term in the mathematical modeling. The study of the stochastic systems related to any nonlinear probabilistic system requires a simulation to the statistical properties for its solution processes. The Wiener Hermite expansion (WHE) linked by multi-step differential transformed method (Ms-DTM) was applied to determine the stochastic response related to stochastic nonlinear oscillator models.