The dynamic stability of an elastic column
type: Item
instance of: scholarly article
title: The dynamic stability of an elastic column
zbMATH Open document ID: 0747.73025
DOI: 10.1016/0021-8928(90)90008-X
published in: Journal of Applied Mathematics and Mechanics
publication date: 1992-09-26T00:00:00Z
review text: Lyapunov's second method is used to investigate the stability of the rectilinear equilibrium modes of a nonlinearly elastic thin rod (column) compressed at its end. Stability here is implied relative to certain integral characteristics, of the type of norms in Sobolev spaces; the analysis is carried out for all values of the problem parameter except the bifurcation values.
Mathematics Subject Classification ID: 74H55
Mathematics Subject Classification ID: 70K20
zbMATH DE Number: 56409
zbMATH Keywords: Lyapunov's second method
zbMATH Keywords: rectilinear equilibrium modes
zbMATH Keywords: nonlinearly elastic thin rod
zbMATH Keywords: Sobolev spaces
author: Stanislav D. Furta
MaRDI profile type: Publication
cites work: Q5522119
cites work: Q3768737
cites work: The instability of the equilibrium of an inhomogeneous fluid in cases when the potential energy is not minimal
cites work: Q4164875
cites work: Q4040200
cites work: Q3809383
cites work: Equilibrium stability loss by a flexible unstretchable thin rod with one restrained end in a gravity field
cites work: Q5578362
cites work: Q3994619
cites work: Q4692344
cites work: Q5544652
cites work: Q5801898
cites work: SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
description: scientific article; zbMATH DE number 56409