Research article Vol. 15 No. 1 (2019): International Journal for Computational Civil and Structural Engineering

RESTABILIZATION OF THE POSTCRITICAL EQUILIBRIUM OF ELASTIC SYSTEMS

Gaik Manuylov, Sergey Kosytsyn, Maxim Begichev
98-109 DOI 10.22337/2587-9618-2019-15-1-98-109 Published 2019-03-25
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RESTABILIZATION OF THE POSTCRITICAL EQUILIBRIUM OF ELASTIC SYSTEMS

Authors

  • Gaik Manuylov Russian University of Transport (MIIT), Moscow, RUSSIA
  • Sergey Kosytsyn Russian University of Transport (MIIT), Moscow, RUSSIA
  • Maxim Begichev Russian University of Transport (MIIT), Moscow, RUSSIA

DOI:

https://doi.org/10.22337/2587-9618-2019-15-1-98-109

Keywords:

equilibrium, restabilization, bifurcation point, stability

Abstract

The application of the Appel-Vozlinsky theorem on the stability or instability conditions for bifurcation points of conservative elastic systems with a symmetric bifurcation diagram to evaluate restabilization possibility of structures under loads substantially larger than the first critical force. It is shown that restabilization is possible if the first eigenvalue of the Hesse matrix is a continuous alternating function of the load parameter, and the remaining eigenvalues are sign-definite quantities. The examples of the systems with restabilization are given: a high Mises girder and an elastic system composed of compressible rods.

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Published

2019-03-25

Issue

Vol. 15 No. 1 (2019): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Manuylov, G., Kosytsyn, S., & Begichev, M. (2019). RESTABILIZATION OF THE POSTCRITICAL EQUILIBRIUM OF ELASTIC SYSTEMS. International Journal for Computational Civil and Structural Engineering, 15(1), 98-109. https://doi.org/10.22337/2587-9618-2019-15-1-98-109

Keywords

equilibrium, restabilization, bifurcation point, stability

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