Two extremum theorems applicable to stability analyses of a mechanical system
type: Item
instance of: scholarly article
title: Two extremum theorems applicable to stability analyses of a mechanical system
zbMATH Open document ID: 0575.70020
DOI: 10.1016/0016-0032(85)90016-X
author: R. Parnes
published in: Journal of the Franklin Institute
publication date: 1985-01-01T00:00:00Z
review text: Two mathematical theorems and their proofs, applicable to stability investigations of mechanical systems, are presented. The theorems permit a determination of the stability of systems undergoing large displacements by means of a defined extremum function and without recourse to a study of higher variations of the total potential. An application to a simple mechanical system with one degree of freedom is given.
Mathematics Subject Classification ID: 70K20
Mathematics Subject Classification ID: 74H55
zbMATH DE Number: 3919889
zbMATH Keywords: deflection of a rigid rod
zbMATH Keywords: extremum theorem
zbMATH Keywords: rod-spring-system
zbMATH Keywords: extremum function
zbMATH Keywords: total potential
MaRDI profile type: Publication
cites work: Q5814479
cites work: Stability Analysis of Systems With Finite Displacements by Means of Extremum Curves
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description: scientific article; zbMATH DE number 3919889