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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2001, Volume 42, Issue 2, Pages 153–160 (Mi pmtf2752)  
This article is cited in 5 scientific papers (total in 5 papers)

States of equilibrium and secondary loss of stability of a straight rod loaded by an axial force

S. V. Levyakov

Chaplygin Siberian Aviation Institute, Novosibirsk, 630054
Full-text PDF (220 kB) Citations (5)
Abstract: A general analytical solution of the problem of postcritical deformation of a straight incompressible rod loaded by an axial force is given. The bending of the rod is studied under various boundary conditions, and new states of equilibrium the occurrence of which is due to the secondary loss of stability are found. It is shown that, for simply supported and clamped rods, the solution bifurcates when the ends meet.
Received: 25.04.2000
Accepted: 05.09.2000
English version:
Journal of Applied Mechanics and Technical Physics, 2001, Volume 42, Issue 2, Pages 321–327
DOI: https://doi.org/10.1023/A:1018844423385
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: S. V. Levyakov, “States of equilibrium and secondary loss of stability of a straight rod loaded by an axial force”, Prikl. Mekh. Tekh. Fiz., 42:2 (2001), 153–160; J. Appl. Mech. Tech. Phys., 42:2 (2001), 321–327
Citation in format AMSBIB
\Bibitem{Lev01}
\by S.~V.~Levyakov
\paper States of equilibrium and secondary loss of stability of a straight rod loaded by an axial force
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2001
\vol 42
\issue 2
\pages 153--160
\mathnet{http://mi.mathnet.ru/pmtf2752}
\elib{https://elibrary.ru/item.asp?id=17262045}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2001
\vol 42
\issue 2
\pages 321--327
\crossref{https://doi.org/10.1023/A:1018844423385}
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  • https://www.mathnet.ru/eng/pmtf/v42/i2/p153
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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