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Restabilization of the Postcritical Equilibrium of Elastic Systems


Medium: journal article
Language(s): Russian
Published in: International Journal for Computational Civil and Structural Engineering / Международный журнал по расчету гражданских и строительных конструкций, , n. 1, v. 15
Page(s): 98-109
DOI: 10.22337/2587-9618-2019-15-1-98-109

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.

Structurae cannot make the full text of this publication available at this time. The full text can be accessed through the publisher via the DOI: 10.22337/2587-9618-2019-15-1-98-109.
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