Deformation of a rod compressed by a longitudinal force under rigid constraints on displacement with various boundary conditions
Journal: PROCEEDINGS OF THE KOMI SCIENCE CENTRE OF THE URAL DIVISION OF THE RUSSIAN ACADEMY OF SCIENCES
№ 6
, 2025
Rubrics: SCIENCE ARTICLES
Authors:
1.
Institute of Physics and Mathematics, Federal Research Centre Komi Science Centre, Ural Branch, RAS
Russian Federation
Russian Federation
Type:
Article
Pages:
from 12
to 19
Status:
Published
Received:
11.08.2025
Accepted:
09.10.2025
Published:
09.10.2025
Subject area:
UDC 539.3
Language:
Russian
Keywords:
stability, rod, variational problem, bifurcation points, onesided constraints, critical force
Funding:
The work was done in frames of the State task of the Institute of Physics and Mathematics FRC Komi SC UB RAS on the topic № 125031203621-2.
Abstract:
The paper considers the problem of determining the elastic line of a rod compressed by a longitudinal force, located between two rigid walls. The dependence of the elastic line and the values of critical loads on various boundary conditions is studied. Exact solutions of the problem in a nonlinear formulation are obtained.
The paper considers the problem of determining the elastic line of a rod compressed by a longitudinal force, located between two rigid walls. The dependence of the elastic line and the values of critical loads on various boundary conditions is studied. Exact solutions of the problem in a nonlinear formulation are obtained.
Keywords:
stability, rod, variational problem, bifurcation points, onesided constraints, critical force
stability, rod, variational problem, bifurcation points, onesided constraints, critical force
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