Stability and vibrations of rectangular columns made of a compressible hyperelastic material
type: Item
instance of: scholarly article
title: Stability and vibrations of rectangular columns made of a compressible hyperelastic material
zbMATH Open document ID: 0582.73034
DOI: 10.1016/0020-7225(86)90027-3
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: The stability and the small vibrations about the finitely deformed state of rectangular columns subjected to axial compressive forces are investigated. The material is assumed to be a polynomial compressible material which is homogeneous, isotropic and hyperelastic. The theory of small deformations superposed on large deformations is used in the formulation of the problem. Numerical results are provided to study the effect of some material and geometrical properties, and also to compare some of the present results with those existing in the literature.
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K10
zbMATH DE Number: 3932503
zbMATH Keywords: uniaxial compression
zbMATH Keywords: finitely compressed by means of two rigid, well- lubricated plates
zbMATH Keywords: homogeneous strain state
zbMATH Keywords: free infinitesimal vibrations
zbMATH Keywords: prestressed column
zbMATH Keywords: transcendental, algebraic characteristic equation
zbMATH Keywords: frequencies
zbMATH Keywords: stability
zbMATH Keywords: small vibrations
zbMATH Keywords: finitely deformed state
zbMATH Keywords: rectangular columns
zbMATH Keywords: axial compressive forces
zbMATH Keywords: polynomial compressible material
zbMATH Keywords: isotropic
zbMATH Keywords: hyperelastic
zbMATH Keywords: small deformations superposed on large deformations
zbMATH Keywords: Numerical results
zbMATH Keywords: effect of some material and geometrical properties
author: Aybar Ertepinar
author: Nuri Akkas
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90027-3
OpenAlex ID: W2070967444
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description: scientific article; zbMATH DE number 3932503