We present a new approach to obtain solutions for general random oscillators using a broad
class of polynomial chaos expansions, which are more efficient than the classical Wiener …

This paper describes firstly, the calculation of the Power Spectral Density Function (PSDF)
for the stationary response of SDOF nonlinear second-order dynamical systems excited by a …

The response of stochastically-forced dynamical systems is analyzed in the limit of vanishing
noise strength ε. We predict asymptotic expressions for the stationary response probability …

In this paper, we consider a Van der Pol–Duffing oscillator that is excited parametrically by a
small intensity real noise, which is assumed to be an integrable function of an n-dimensional …

The influence of random vibration on the design of mechanical components has been
considered within the framework of the linear theory of small oscillations. However, in some …

This paper presents a new method, through which the p th moment stability of a binary airfoil
subjected to an ergodic real noise is obtained. The excitation included is assumed to be an …

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First-order stochastic averaging has proven very useful in predicting the response statistics
and stability of dynamic systems with nonlinear dam** forces. However, the influence of …

This paper examines the almost-sure asymptotic stability condition of a linear multiplicative
stochastic system, which is a linear part of a co-dimension two-bifurcation system that is on a …

This paper presents a method, through which the p th moment stability of a linear
multiplicative stochastic system, that is a linear part of a co-dimension two-bifurcation system …