 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
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| In English (Mech. Solids): | | 5065 |
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| V.V. Chistyakov and S.M. Soloviev, "A New Method for Determining the Buckling Resistance in the Nonlinear Range of Strains for a Column Supported by Rotational Stiffeners," Mech. Solids. 60 (2), 825-838 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
825-838 |
| DOI |
10.1134/S0025654424603902 |
| Title |
A New Method for Determining the Buckling Resistance in the Nonlinear Range of Strains for a Column Supported by Rotational Stiffeners |
| Author(s) |
V.V. Chistyakov (Ioffe Institute, St.-Petersburg, 194021 Russia, v.chistyakov@mail.ioffe.ru)
S.M. Soloviev (Ioffe Institute, St.-Petersburg, 194021 Russia, serge.soloviev@mail.ioffe.ru) |
| Abstract |
An innovational method for solving the Euler–Bernoulli problem of an overall buckling of
the uniform column supported by rotational springs of stiffnesses γ1, γ2, N·m free from traditional simplifications (invariable flexural stiffness and length) is given. It is based on a natural and comprehensive constraint on the restored axis length. A system of algebraic equations relating the critical stress σcr to the nonlinear compression diagram ε(σ) of the material, the slenderness of the column λ and the values γ1, γ2 has been obtained, solved and verified in important special cases. It is shown that columns of the same material with the same so-called the reduced spring stiffnesses have identical dependencies σcr(λ). It is shown that columns with λ≤λmin(γ1, γ2) cannot be buckled by any axial load F for various types of ε(σ) (Ramberg-Osgood, rational fraction, polynomial, etc.). |
| Keywords |
overall buckling, rotational spring, critical stress, restored length, reduced stiffness |
| Received |
21 May 2024 | Revised |
03 October 2024 | Accepted |
03 October 2024 |
| Link to Fulltext |
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