iipp publishingJournal of Applied Engineering Science

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Comparative analysis of buckling criteria for engineering structures. multi-degree system
DOI: 10.5937/jaes16-14659
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Volume 16 article 493 pages: 28 - 31

Leonid Yulianovich Stupishin
Southwest State University, Kursk, Russia

Marya Leonidovna Moshkevich
Southwest State University, Kursk, Russia

The criteria of the buckling of engineering structures in terms of the systems with lumped parameters are discussed in the article. The examples of setting buckling problems and their solutions using Timoshenko and Bryan criteria’s, and the criterion of the critical levels of energy are given. The analysis of the compared approaches, their strengths and shortcomings in terms of the multi-degree systems are presented.

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Timoshenko S.P. Ustoichivost uprugikh sistem. Moscow, OGIS, 1946. p 532.
Bryan G. H., On the Stability of a Plane Plate Under Thrusts in Its Own Plane, with Applications to the ‘Buckling’ of the Sides of a Ship//Proc. London Math. Soc., 1891. Vol. 22.
Rzhanizin A.R.. Ustoichivost ravnovesiya uprugih sistem. Moscow, Gostehizdat. 1955. p 475.
Bolotin V.V. Dinamicheskaya ustoichivost uprugikh sistem. Moscow, Gostehteorizdat, 1956. p 600.
Volmir A.S. Ustoichivost uprugikh sistem. Moscow, Fizmatgiz, 1963. p 879.
Panovko Ya.G., Gubanova I.I. Ustoichivost i kolebaniya uprugikh sistem: Sovremennye konsepsii, oshibki i paradoksiy. Moscow, Nauka, 1979. p.384.
L.U. Stupishin, K.E. Nikitin Investigation of the shell’s stability using the mixed fi nite element method //Advances in Civil, Architectural, Structural and Constructional Engineering – Kim, Jung & Seo (Eds) © 2016 Taylor & Francis Group, London.
Stupishin L.U. Variational Criteria for Critical Levels of Internal Energy of a Deformable Solids //Applied Mechanics and Materials Vols. 578-579 (2014) pp 1584-1587.
Alfutov N.A. Osnovy rascheta na ustoichivost uprugih sistem Moscow, Mashinostroenie. 1991 p 336.