On the stability of rods for stochastic excitations
type: Item
instance of: scholarly article
title: On the stability of rods for stochastic excitations
zbMATH Open document ID: 0733.73051
DOI: 10.1016/0021-8928(89)90089-0
published in: Journal of Applied Mathematics and Mechanics
publication date: 1989-01-01T00:00:00Z
review text: The stability of motion of an elastic rod in a viscous medium compressed by a randomly acting force is studied. The conditions of stability of the rod acted upon by a stationary process with bilinear spectral density are obtained. The dependence of the statistical moments of the amplitude of the finite flexure of the rod under stationary-motion conditions on the parameters of the compressing force and the amplitude of the initial deformation is analyzed.
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 4213577
zbMATH Keywords: stability of motion
zbMATH Keywords: viscous medium
zbMATH Keywords: randomly acting force
zbMATH Keywords: stationary process
zbMATH Keywords: bilinear spectral density
author: Vadim D. Potapov
MaRDI profile type: Publication
full work available at URL: 0021-8928(89)90089-0
OpenAlex ID: W2051032455
cites work: Stability of bodies made of nonhomogeneously aging anisotropic, viscoelastic material
cites work: Q3991349
cites work: Q5616513
cites work: Q3953354
description: scientific article; zbMATH DE number 4213577