Vibration of a nonlinear single degree of freedom system due to Poissonian impulse excitation
type: Item
instance of: scholarly article
title: Vibration of a nonlinear single degree of freedom system due to Poissonian impulse excitation
zbMATH Open document ID: 0589.70023
DOI: 10.1016/0020-7462(86)90006-5
author: Witold Marowski
author: Andrzej Tylikowski
published in: International Journal of Non-Linear Mechanics
publication date: 1986-01-01T00:00:00Z
review text: The behaviour of a nonlinear single degree of freedom system, subjected to a random excitation in the form of Poissonian impulse sequences is investigated. The stochastic linearization technique and the generalized Fokker-Planck-Kolmogorov (FPK) equation have been used to examine the considered system. The Fourier transform, applied to the generalized FPK equation and the method of characteristics allowed to obtain a general formula for the characteristic function and moments of system response probability distribution. A digital simulation method has been applied to verify the results obtained.
Mathematics Subject Classification ID: 70L05
Mathematics Subject Classification ID: 34F05
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 70F99
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 3947684
zbMATH Keywords: generalized Fokker-Planck-Kolmogorov equation
zbMATH Keywords: nonlinear single degree of freedom system
zbMATH Keywords: random excitation
zbMATH Keywords: Poissonian impulse sequences
zbMATH Keywords: stochastic linearization technique
zbMATH Keywords: Fourier transform
zbMATH Keywords: method of characteristics
zbMATH Keywords: system response probability distribution
MaRDI profile type: Publication
full work available at URL: 0020-7462(86)90006-5
OpenAlex ID: W2054996000
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description: scientific article; zbMATH DE number 3947684