|
Solution of the Beltrami equations for the infinite hollow cylinder under the axisymmetric deformation
Petr I. Anferova, Christina Yu. Aturgashevab a Institute of Mathematics and Computer Science,
Siberian Federal University,
Svobodny, 79, Krasnoyarsk, 660041,
Russia
b Academician M.F. Reshetnev Information Satellite Systems,
Lenin Street, 52, Zheleznogorsk, Krasnoyarsk region, 662972,
Russia
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.
Keywords:
infinitely long cylinder, axisymmetric deformation, Beltrami strain compatibility equations, equilibrium equations, Fourier transform.
Received: 30.09.2016 Received in revised form: 10.11.2016 Accepted: 20.04.2017
Citation:
Petr I. Anferov, Christina Yu. Aturgasheva, “Solution of the Beltrami equations for the infinite hollow cylinder under the axisymmetric deformation”, J. Sib. Fed. Univ. Math. Phys., 11:1 (2018), 10–17
Linking options:
https://www.mathnet.ru/eng/jsfu586 https://www.mathnet.ru/eng/jsfu/v11/i1/p10
|
|