On the origin of chaos in gearbox models
type: Item
instance of: scholarly article
title: On the origin of chaos in gearbox models
zbMATH Open document ID: 0657.70026
DOI: 10.1016/0167-2789(88)90038-3
published in: Physica D
publication date: 1988-01-01T00:00:00Z
review text: Irregular, chaotic motions may be observed in nearly every nonlinear dynamic system. In recent years a number of models of deterministic technical systems have been studied which show chaotic behavior. One specific problem is the dynamics of gearboxes, where due to unavoidable backlash between the meshing teeth, impacts and hence irregular motion takes place especially at the load-free wheels. Up to now most results on this problems are obtained by means of simulations. The authors discuss the origin of chaos in a gearbox model from a theoretical point of view. The mapping considered belongs to the class of Fermi accelerator models well known in the dynamics literature. The authors do not present any quantitative or detailed information on the dynamics of gearboxes. Therefore, the paper is more suggestive than specific.
Mathematics Subject Classification ID: 70K99
zbMATH DE Number: 4074582
zbMATH Keywords: Irregular, chaotic motions
zbMATH Keywords: nonlinear dynamic system
zbMATH Keywords: dynamics of gearboxes
zbMATH Keywords: load-free wheels
zbMATH Keywords: Fermi accelerator models
author: Max-Olivier Hongler
author: L. Streit
reviewed by: E. Kreuzer
MaRDI profile type: Publication
full work available at URL: 0167-2789(88)90038-3
OpenAlex ID: W2013359390
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description: scientific article; zbMATH DE number 4074582