This state-of-the-art report assesses the current state of development of computational
procedures as utilized in stochastic mechanics. The theoretical developments and aspects …

Nonlinear Random Vibration Page 1 Page 2 NONLINEAR RANDOM VIBRATION Page 3
ADVANCES IN ENGINEERING Series Editors: Fai Ma, Department of Mechanical Engineering …

This paper examines the efficacy of cumulant-neglect closure methods for complex
dynamical systems. Previous efforts to employ this method were limited by the complicated …

Because of their wide resonant frequency bandwidth which extends to the lower range of
wave frequencies, the research community has recently paid significant attention to the …

For stochastic systems, the Fokker–Planck equation (FPE) is used to describe the system
dynamics. The FPE is a partial differential equation, which is a function of all the variables in …

A method for computing the lower-order moments of response of randomly excited multi-
degree-of-freedom (MDOF) systems with random structural properties is proposed. The …

Three cases are examined where the statistical linearization (SL) procedure can yield
multiple solutions for the first and second moments of the response. The first is an oscillator …

The various techniques available for the analysis of nonlinear systems subjected to random
excitations are briefly introduced and an overview of the progress which has been made in …

This paper contains an analysis of the error induced by applying the method of equivalent
statistical linearization (ESL) to randomly excited multi-degree-of-freedom (mdf) …

Several recent developments in the stochastic linearization technique are summarized in
this review paper. The nonlinear oscillator subjected to colored noise is examined; the case …