Determination of the limits of the unstable zones of the unstationary nonlinear mechanical systems
type: Item
instance of: scholarly article
title: Determination of the limits of the unstable zones of the unstationary nonlinear mechanical systems
zbMATH Open document ID: 0658.70027
DOI: 10.1016/0020-7462(88)90008-X
author: Jan Awrejcewicz
published in: International Journal of Non-Linear Mechanics
publication date: 1988-01-01T00:00:00Z
review text: The paper presents a method of determining the unstable zones of mechanical systems circumscribed with the ordinary nonlinear differential equations with periodically variable coefficients, on the assumption that the parametric excitation and nonlinearity in the system are small (of the order of small parameters \(\mu\) and \(\epsilon)\). In this method the solutions are searched in the form of power series in relation to two small independent parameters \(\mu\) and \(\epsilon\).
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 37-XX
zbMATH DE Number: 4076717
zbMATH Keywords: unstable zones of mechanical systems
zbMATH Keywords: parametric excitation
MaRDI profile type: Publication
full work available at URL: 0020-7462(88)90008-x
OpenAlex ID: W1987140021
description: scientific article; zbMATH DE number 4076717