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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2004, Volume 45, Issue 1, Pages 107–114 (Mi pmtf2344)  
This article is cited in 2 scientific papers (total in 2 papers)

Numerical analysis of axisymmetric buckling of plates under radial compression

L. I. Shkutin

Institute of Computer Modeling, Siberian Division, Russian Academy of Sciences, Krasnoyarsk, 630090
Full-text PDF (224 kB) Citations (2)
Abstract: Nonlinear boundary-value problems of axisymmetric buckling of simply supported and clamped plates under radial compression are formulated for a system of six first-order ordinary differential equations with independent fields of finite displacements and rotations. Multivalued solutions are obtained by the shooting method with specified accuracy. Bifurcation of the solutions of the problem is studied, and a parametric bifurcation diagram is constructed for various values of the loading parameter. Curves of buckling modes are given for three branches of the solution. The numerical results agree with available theoretical data.
Keywords: axisymmetric buckling, plate, numerical analysis.
Received: 21.04.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2004, Volume 45, Issue 1, Pages 89–95
DOI: https://doi.org/10.1023/B:JAMT.0000009179.23903.07
Bibliographic databases:
Document Type: Article
UDC: 539.370
Language: Russian
Citation: L. I. Shkutin, “Numerical analysis of axisymmetric buckling of plates under radial compression”, Prikl. Mekh. Tekh. Fiz., 45:1 (2004), 107–114; J. Appl. Mech. Tech. Phys., 45:1 (2004), 89–95
Citation in format AMSBIB
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\by L.~I.~Shkutin
\paper Numerical analysis of axisymmetric buckling of plates under radial compression
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2004
\vol 45
\issue 1
\pages 107--114
\mathnet{http://mi.mathnet.ru/pmtf2344}
\elib{https://elibrary.ru/item.asp?id=17249182}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2004
\vol 45
\issue 1
\pages 89--95
\crossref{https://doi.org/10.1023/B:JAMT.0000009179.23903.07}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2344
  • https://www.mathnet.ru/eng/pmtf/v45/i1/p107
    • This publication is cited in the following 2 articles:
    1. Leonid I. Shkutin, Advanced Structured Materials, 15, Shell-like Structures, 2011, 261  crossref
    2. L. I. Shkutin, “Analysis of axisymmetric phase strains in plates and shells”, J. Appl. Mech. Tech. Phys., 48:2 (2007), 285–291  mathnet  mathnet  crossref
    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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