Stability of a twisted and compressed clamped rod(Article)
- Faculty of Technical Sciences, University of Novi Sad, POB 55, Novi Sad 21121, Serbia
Abstract
We consider the problem of determining the stability boundary of an elastic rod clamped at both ends and loaded by a compressive force and a couple. The constitutive equations of the rod are such that both shear of the cross section and compressibility of the rod axis are considered. The stability boundary is given by the bifurcation points of a system of eight nonlinear first-order differential equations, obtained by using the first integrals. Depending on the parameter values the type of bifurcation is determined. The post-critical shape of the rod is obtained by the numerical integration of a system of 12 nonlinear first-order differential equations. © 2008 Springer-Verlag.
Indexed keywords
| Engineering controlled terms: | Bifurcation (mathematics)Constitutive equationsNumerical analysisSystem stability |
|---|---|
| Engineering uncontrolled terms: | Bifurcation pointsCompressive forcesCross sectionsElastic rodsFirst integralsFirst ordersNumerical integrationsParameter valuesStability boundaries |
| Engineering main heading: | Nonlinear equations |
Funding details
| Funding sponsor | Funding number | Acronym |
|---|---|---|
| Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja | MPNTR |
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1
Ackowledgments This research was supported by the Ministry of Science, Technologies and Development of Republic of Serbia. The authors would like to thank Professor T. M. Atanackovic and the reviewers for valuable comments.
- ISSN: 00015970
- CODEN: AMHCA
- Source Type: Journal
- Original language: English
- DOI: 10.1007/s00707-008-0043-5
- Document Type: Article
Glavardanov, V. B.; Faculty of Technical Sciences, University of Novi Sad, POB 55, Serbia;
© Copyright 2009 Elsevier B.V., All rights reserved.
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