Mathematical models used in studying the chaotic vibration of buckled beams
type: Item
instance of: scholarly article
title: Mathematical models used in studying the chaotic vibration of buckled beams
zbMATH Open document ID: 0819.73048
DOI: 10.1016/0093-6413(94)90091-4
author: Daniela Dinca Baran
published in: Mechanics Research Communications
publication date: 1995-08-24T00:00:00Z
review text: We discuss the dependence of the chaotic motions upon the beam model; more precisely, we study the following aspects: 1. how the appearence of the chaotic motion is affected by the more refined beam models; 2. how the chaotic motion depends upon the beam model. To analyse these aspects, we use besides the usual Bernoulli-Euler model, the Rayleigh model which takes into account the rotatory inertia effect, and the Timoshenko model which includes both the rotatory inertia effect and the shear forces effect. The differences that appear between the solutions corresponding to the three models have been emphasized by numerical ``linear acceleration'' type method with fewer iterations at each point of the mesh.
Mathematics Subject Classification ID: 74H50
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 37D45
zbMATH DE Number: 612468
zbMATH Keywords: linear acceleration method
zbMATH Keywords: Bernoulli-Euler model
zbMATH Keywords: Rayleigh model
zbMATH Keywords: Timoshenko model
zbMATH Keywords: iterations
MaRDI profile type: Publication
full work available at URL: 0093-6413(94)90091-4
OpenAlex ID: W2084840944
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description: scientific article; zbMATH DE number 612468