The problem of the stability of circular rings connected to each other-Reference-Cited by-同舟云学术

The problem of the stability of circular rings connected to each other

Published:2022-12-20 Issue:5 Volume:0 Page:28-33
ISSN:1994-5655
Container-title:Proceedings of the Komi Science Centre of the Ural Division of the Russian Academy of Sciences
language:en
Short-container-title:

Author:

Andryukova V.,Tarasov V.

Abstract

The paper considers the problems on the stability of a system of circular rings interconnected in such a way that the displacements of these rings and the rotation angles of their sections coincide at some points. This problem is reduced to some variational problem with restrictions on the desired functions in the form of linear equations. The Fourier series are used for a finite-dimensional approximation. The paper also presents the problem on the stability of a system of circular rings reinforced with inextensible threads that do not withstand compressive forces. In this case, there are constraints in the form of inequalities, and after a finite-dimensional approximation, the problem is reduced to finding bifurcation points for nonlinear programming problems in the presence of constraints in the form of inequalities.

Publisher

Komi SC UB RAS

Subject

General Earth and Planetary Sciences,General Energy

Reference10 articles.

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