Open AccessTorsion stability of a cylinder with circular and elliptical section under finite perturbations
Author(s) -
A. I. Sumin,
А. А. Богер,
В. А. Сумин,
S. V. Ryabov
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1479/1/012138
Subject(s) - torsion (gastropod) , compressibility , bifurcation , mathematics , section (typography) , cylinder , nonlinear system , mathematical analysis , stability (learning theory) , geometry , classical mechanics , hierarchy , mechanics , physics , computer science , medicine , surgery , quantum mechanics , machine learning , economics , market economy , operating system
In this paper, the stability of a cylinder with circular and elliptical section made of compressible and incompressible nonlinear elastic materials under finite perturbations is considered. A set of computational experiments was performed. The permissible boundaries of the region with respect to final and initial perturbations for given parameters of loading and structures are established. Finite sequences of bifurcation points are constructed, confirming, in contrast to stability at small perturbations, the existence of a hierarchy of stable equilibrium states. Classical linearized stability theories are evaluated. New phenomena and characteristic effects are established.