COMPARATIVE ANALYSIS OF BUCKLING CRITERIA FOR ENGINEERING STRUCTURES. MULTI-DEGREE SYSTEM

Leonid Yulianovich Stupishin; Marya Leonidovna Moshkevich

doi:10.5937/jaes16-14659

Leonid Yulianovich Stupishin Southwest State University, Kursk, Russia
Marya Leonidovna Moshkevich Southwest State University, Kursk, Russia

DOI: https://doi.org/10.5937/jaes16-14659

Keywords: engineering, buckling,

Abstract

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.

References

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 finite 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