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On Λ-fractional buckling and post-buckling of beams.
- Source :
-
Archive of Applied Mechanics . Jul2024, Vol. 94 Issue 7, p1829-1840. 12p. - Publication Year :
- 2024
-
Abstract
- Buckling of axially loaded beams is discussed in the context of Λ-fractional analysis and mechanics. An axially compressed cantilever beam is considered in the Λ-fractional space, and the critical load is defined. The variational buckling problem of the simply supported beam is considered in the Λ-fractional space. It is pointed out that the Euler–Lagrange equation corresponding to the minimization of the total energy function with the Weierstrass–Erdmann conditions is only acceptable. The Λ-fractional buckling elastic curve of a simply supported beam is presented. That elastic curve is transferred into the initial space. The post-critical buckling deformations are defined in the context of globally stable equilibrium deformations. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09391533
- Volume :
- 94
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Archive of Applied Mechanics
- Publication Type :
- Academic Journal
- Accession number :
- 178231822
- Full Text :
- https://doi.org/10.1007/s00419-024-02608-3