Stability of elastic and viscoelastic systems under a random perturbations of their parameters
type: Item
instance of: scholarly article
title: Stability of elastic and viscoelastic systems under a random perturbations of their parameters
zbMATH Open document ID: 0844.73031
published in: Archive of Applied Mechanics
publication date: 1996-09-08T00:00:00Z
review text: The paper is concerned with the investigation of the almost sure stability of elastic and viscoelastic systems, when their parameters are undergoing a random wide-band stationary process. The parameters are parametric loads, characteristics of external damping and material viscosity. With the help of Lyapunov's direct method, the sufficient condition for the almost sure asymptotic stability for distributed parameter systems with respect to perturbations of initial conditions of an arbitrary form is obtained.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74Hxx
zbMATH DE Number: 873781
zbMATH Keywords: eigenfunction
zbMATH Keywords: viscoelastic rod
zbMATH Keywords: almost sure stability
zbMATH Keywords: parametric loads
zbMATH Keywords: external damping
zbMATH Keywords: material viscosity
zbMATH Keywords: Lyapunov's direct method
zbMATH Keywords: sufficient condition
zbMATH Keywords: asymptotic stability
author: Vadim D. Potapov
MaRDI profile type: Publication
full work available at URL: s004190050067
OpenAlex ID: W4235366191
DOI: 10.1007/S004190050067
description: scientific article; zbMATH DE number 873781