Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2018 11 (1)
- Authors
- Anferov, Peter I.; Aturgasheva, Christina Y.
- Contact information
- Anferov, Peter I.: Institute of Mathematics and Computer Science Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041 Russia; ; Aturgasheva, Christina Y.: Academician M.F. Reshetnev Information Satellite Systems Lenin Street, 52, Zheleznogorsk, Krasnoyarsk region, 662972 Russia;
- Keywords
- infinitely long cylinder; axisymmetric deformation; Beltrami strain compatibility equations; equilibrium equations; Fourier transform
- Abstract
In this paper, axisymmetric stresses of an infinitely long hollow circular cylinder are found from the strain compatibility equations that are reduced to a system of Bessel-type ordinary differential equations by the Fourier transform. The constants of integration of the expressions for the Fourier transforms of stresses are determined by the Fourier-transformed equilibrium equations and boundary conditions. Numerical results are given for the particular case of cylinder’s load
- Pages
- 10–17
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/68377
Journal of Siberian Federal University. Mathematics & Physics / Solution of the Beltrami Equations for the Infinite Hollow Cylinder under the Axisymmetric Deformation
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