Periodic-impact motions and bifurcations of a dual component system
type: Item
instance of: scholarly article
title: Periodic-impact motions and bifurcations of a dual component system
zbMATH Open document ID: 1160.74367
author: N. E. Zubov
published in: Nonlinear Analysis. Real World Applications
publication date: 2007-01-16T00:00:00Z
review text: Impact oscillators arise when over the components of a vibrating system collide with rigid obstacles or with each other. Such systems with repeated impacts arise in a wide variety of engineering applications, particularly in mechanisms and machines with clearances or gaps. Bifurcation and chaos of vibratory systems with plastic impacts have been investigated in the articles [\textit{S.W. Shaw} and \textit{P. J. Holmes}, ``Periodically forced linear oscillator with impacts: chaos and long-period motions'', Phys. Rev. Left. 51, No. 8, 623--626 (1983); \textit{J. Xie}, ``The mathematical model for the impact hammer and global bifurcations'', Acta Mech. Sin. 29, No. 4, 456--463 (1997)], where the dynamics of one-degree-of-freedom impact hammer was presented by a one-dimensional map on a circle with description of its properties. The aim of the reviewed article is to focus attention periodic motions and global bifurcations in multi-degree-of-freedom vibratory systems with plastic impacts.
Mathematics Subject Classification ID: 70K50
Mathematics Subject Classification ID: 70K42
Mathematics Subject Classification ID: 70K55
zbMATH DE Number: 5116309
zbMATH Keywords: vibration
zbMATH Keywords: clearance
zbMATH Keywords: impact map
zbMATH Keywords: periodic motion
zbMATH Keywords: bifurcation
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2005.03.030
OpenAlex ID: W2027529507
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DOI: 10.1016/J.NONRWA.2005.03.030
description: scientific article; zbMATH DE number 5116309