title: ÐÐ¸ÑÑÑÐ·Ð¸Ñ Ð²Ð¾Ð´Ð¾ÑÐ¾Ð´Ð° Ð²Ð¾ Ð²ÑÐ°ÑÐ°ÑÑÐ¸Ñ ÑÑ ÑÐ¸Ð»Ð¸Ð½Ð´ÑÐ¸ÑÐµÑÐºÐ¸Ñ ÑÐ¿ÑÑÐ³Ð¸Ñ ÑÐµÐ»Ð°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Hydrogen diffusion in rotating cylindrical elastic bodies
Creators: name: ÐÐ°Ð»ÑÑÑÐ´Ð¸Ð½Ð¾Ð²Ð°, ÐÐ»Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2020
Subjects: Ð´Ð¸ÑÑÑÐ·Ð¸Ñ Ð²Ð¾Ð´Ð¾ÑÐ¾Ð´Ð°
Ð²Ð¾Ð´Ð¾ÑÐ¾Ð´Ð½Ð¾Ðµ Ð¾Ñ ÑÑÐ¿ÑÐ¸Ð²Ð°Ð½Ð¸Ðµ
ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ Ð´Ð¸ÑÑÑÐ·Ð¸Ð¸
Ð½Ð°Ð¿ÑÑÐ¶ÐµÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ
Ð¿Ð¾Ð´ÑÐ¸Ð¿Ð½Ð¸ÐºÐ¸ ÐºÐ°ÑÐµÐ½Ð¸Ñ
ÑÑÐ´ Ð¤ÑÑÑÐµ
hydrogen diffusion
hydrogen destruction
diffusion equation
stress state
rolling bearings
Fourier series

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description: In this work, we calculated the distribution of the concentration of hydrogen in a rotating cylindrical elastic body, subject to compression by two concentrated forces applied at two diametrically opposite points of the outer circle. During the study, the following problems were solved: 1. Determination of the plane stress state of a cylindrical elastic body loaded with external forces. 2. Solution of the diffusion equation in a rotating body under the influence of the elastic stress field. 3. Application of the Galerkin method to the solution of an ordinary differential equation for finding the expansion coefficients of a function in a Fourier series. In this work, we obtained stress fields arising in a cylindrical elastic body under the action of two compressive concentrated forces. To achieve this goal methods of the theory of functions of complex variable were used. The work presents the possibility of obtaining a solution to the first boundary-value problem of hydrogen diffusion in a rotating body in the found stress state. The solution were found by applying The Eulerian approach and representing the function of hydrogen concentration in the form of a Fourier series. The series expansion coefficients were Ñalculated numerically and using the approximate Galerkin method. The obtained result confirmed the possibility of applying the presented methods to the solution of the hydrogen diffusion equation.