Longitudinal vibrations of a beam: A gradient elasticity approach
type: Item
instance of: scholarly article
title: Longitudinal vibrations of a beam: A gradient elasticity approach
zbMATH Open document ID: 0843.73048
DOI: 10.1016/0093-6413(95)00074-7
author: B. S. Altan
author: H. A. Evensen
author: E. C. Aifantis
published in: Mechanics Research Communications
publication date: 1996-08-13T00:00:00Z
review text: The main purpose is to analyze the consequences of gradient elasticity theory on the simplest dynamical problems. First, the strain field in a straight bar subject to uniform tension is analyzed under various extra boundary conditions. It is shown that the strain distribution in the bar is non-homogeneous even when the tension is homogeneous, in contrast to the classical case. Then the longitudinal vibration of a bar under homogeneous boundary conditions is analyzed, and it is shown that the vibration modes contain not only travelling waves but also exponential end-effect terms.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 865889
zbMATH Keywords: straight bar
zbMATH Keywords: uniform tension
zbMATH Keywords: strain distribution
zbMATH Keywords: homogeneous boundary conditions
zbMATH Keywords: travelling waves
zbMATH Keywords: exponential end-effect terms
MaRDI profile type: Publication
full work available at URL: 0093-6413(95)00074-7
OpenAlex ID: W2065659836
Wikidata QID: Q126653960
description: scientific article; zbMATH DE number 865889