A new method for determining the buckling resistance in the nonlinear range of strains for a column supported by rotational stiffeners
- Authors: Chistyakov V.V.1, Soloviev S.M.1
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Affiliations:
- Physical and Technical Institute of RAS named after A.F.Ioffe
- Issue: No 2 (2025)
- Pages: 46-67
- Section: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/295907
- DOI: https://doi.org/10.31857/S1026351925020034
- EDN: https://elibrary.ru/amwjnp
- ID: 295907
Cite item
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.).
About the authors
V. V. Chistyakov
Physical and Technical Institute of RAS named after A.F.Ioffe
Author for correspondence.
Email: v.chistyakov@mail.ioffe.ru
Russian Federation, Saint-Peterbourg
S. M. Soloviev
Physical and Technical Institute of RAS named after A.F.Ioffe
Email: serge.soloviev@mail.ioffe.ru
Russian Federation, Saint-Peterbourg
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