Technological forecast of bearing capacity and properties of contact connection of bimetallic hollow spheres under electromagnetic pulses action
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Date
2020-01-01
Journal Title
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Publisher
Видавництво Львівської політехніки
Lviv Politechnic Publishing House
Lviv Politechnic Publishing House
Abstract
Сформульовано початково-крайову задачу термомеханiки для порожнистої бiметалевої кулi за дiї нестацiонарного електромагнiтного поля. За визначальнi функцiї вибрано азимутальну компоненту вектора напруженостi магнiтного поля, температуру та
радiальну компоненту вектора перемiщень. Для їх знаходження розвинуто методику розв’язування вiдповiдних контактних задач електродинамiки, теплопровiдностi
i термопружностi. Ця методика використовує квадратичну апроксимацiю розподiлiв
всiх визначальних функцiй за радiальною координатою в кожному складовому шарi.
З її допомогою вихiднi початково-крайовi задачi на визначальнi функцiї зведено до
задач Кошi на їх iнтегральнi (сумарнi по пакету шарiв) характеристики. Отримано загальнi розв’язки цих задач за однорiдної нестацiонарної електромагнiтної дiї.
На їх основi записано розв’язки задачi за дiї електромагнiтного iмпульсу. Проведено комп’ютерний аналiз термопружної поведiнки, несучої здатностi та збереження
властивостей контактного з’єднання кулi залежно вiд параметрiв iмпульсу.
The initial boundary-value problem of thermomechanics for a hollow bimetallic sphere under the action of a non-stationary electromagnetic field is formulated. The azimuthal component of the magnetic field strength vector, the temperature, and the radial component of the displacement vector are chosen to be the determining functions. To find them, a technique has been developed to solve the corresponding contact problems of electrodynamics, thermal conductivity, and thermal elasticity. This technique uses a quadratic approximation of the distributions of all determining functions with respect to the radial coordinate in each component layer. With its help, the basic initial boundary-value problems for the determining functions are reduced to the Cauchy problems for their integral (total over the layers package) characteristics. The general solutions to these problems are obtained under a homogeneous non-stationary electromagnetic action. On this basis, the solutions to the problem for bodies under the action of an electromagnetic pulse are written. A computer analysis of thermoelastic behavior, bearing capacity, and preservation of the properties of the contact connection of the sphere is carried out depending on the pulse parameters.
The initial boundary-value problem of thermomechanics for a hollow bimetallic sphere under the action of a non-stationary electromagnetic field is formulated. The azimuthal component of the magnetic field strength vector, the temperature, and the radial component of the displacement vector are chosen to be the determining functions. To find them, a technique has been developed to solve the corresponding contact problems of electrodynamics, thermal conductivity, and thermal elasticity. This technique uses a quadratic approximation of the distributions of all determining functions with respect to the radial coordinate in each component layer. With its help, the basic initial boundary-value problems for the determining functions are reduced to the Cauchy problems for their integral (total over the layers package) characteristics. The general solutions to these problems are obtained under a homogeneous non-stationary electromagnetic action. On this basis, the solutions to the problem for bodies under the action of an electromagnetic pulse are written. A computer analysis of thermoelastic behavior, bearing capacity, and preservation of the properties of the contact connection of the sphere is carried out depending on the pulse parameters.
Description
Keywords
бiметалева порожниста куля, термонапружений стан, несуча здатнiсть, властивостi контактного з’єднання, електромагнiтний iмпульс, bimetallic hollow sphere, thermal state, bearing capacity, properties of contact connection, electromagnetic pulse
Citation
Technological forecast of bearing capacity and properties of contact connection of bimetallic hollow spheres under electromagnetic pulses action / Musii R. S., Melnyk N. B., Dmytruk V. A., Zhydyk U. V // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2020. — Vol 7. — No 1. — P. 79–87.