Technological forecast of bearing capacity and properties of contact connection of bimetallic hollow spheres under electromagnetic pulses action

dc.citation.epage87
dc.citation.issue1
dc.citation.spage79
dc.contributor.affiliationНацiональний унiверситет “Львiвська полiтехнiка”
dc.contributor.affiliationЦентр математичного моделювання Iнституту прикладних проблем механiки i математики iм. Я. С. Пiдстригача НАН України
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.affiliationCentre of Mathematical Modelling,IAPMM of Ukrainian National Academy of Sciences
dc.contributor.authorМусій, Р. С.
dc.contributor.authorМельник, Н. Б.
dc.contributor.authorДмитрук, В. А.
dc.contributor.authorЖидик, У. В.
dc.contributor.authorMusii, R. S.
dc.contributor.authorMelnyk, N. B.
dc.contributor.authorDmytruk, V. A.
dc.contributor.authorV, Zhydyk U.
dc.date.accessioned2023-03-06T12:28:24Z
dc.date.available2023-03-06T12:28:24Z
dc.date.created2020-01-01
dc.date.issued2020-01-01
dc.description.abstractСформульовано 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.
dc.description.abstractThe 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.
dc.format.extent79-87
dc.format.pages9
dc.identifier.citationTechnological 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.
dc.identifier.citationenMusii R. S., Melnyk N. B., Dmytruk V. A., V Z. U. (2020) Technological forecast of bearing capacity and properties of contact connection of bimetallic hollow spheres under electromagnetic pulses action. Mathematical Modeling and Computing (Lviv), vol. 7, no 1, pp. 79-87.
dc.identifier.doiDOI: 10.23939/mmc2020.01.079
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/57522
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 1 (7), 2020
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dc.relation.references[5] Musii R., Melnyk N., Dmytruk V. Thermoelastic processes analyzer for piecewise homogeneous conductive structures subjected to pulsed electromagnetic action. Journal of Thermal Stresses. 41 (9), 1125–1135(2018).
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dc.relation.references[8] Singh S., Jain P. K., Rizwan-uddin. Analytical Solution for Three-Dimensional, Unsteady Heat Conduction in a Multilayer Sphere. J. Heat Trans. 138 (10), 101301 (2016).
dc.relation.references[9] Musii R., Melnyk N., Dmytruk V. Investigation of properties of contact connector of bimetallic hollow cylinder under the influence of electromagnetic pulse. Mathematical Modeling and Computing. 5 (2),193–200 (2018).
dc.relation.references[10] Lurie A. I. Theory of Elasticity. Berlin, Springer–Verlag (2005).
dc.relation.referencesen[1] Matthews F., Rawlings R. Composite materials: engineering and science. London, Chapman & Hall. 20–46(1994).
dc.relation.referencesen[2] Shneerson G., Dolotenko M., Krivosheev S. Strong and Superstrong Pulsed Magnetic Fields Generation. De Gruyter (2010).
dc.relation.referencesen[3] Herlach F. Pulsed Magnets. Rep. Prog. Phys. 62 (6), 859–920 (1999).
dc.relation.referencesen[4] Podstrigach Ya. S., Burak Ya. I., Gachkevich A. R., Chernyavskaya L. V. Thermoelasticity of Electrically Conductive Bodies. Kiev, Naukova Dumka. 17–33 (1977), (in Russian).
dc.relation.referencesen[5] Musii R., Melnyk N., Dmytruk V. Thermoelastic processes analyzer for piecewise homogeneous conductive structures subjected to pulsed electromagnetic action. Journal of Thermal Stresses. 41 (9), 1125–1135(2018).
dc.relation.referencesen[6] Motovilovets I. A., Kozlov V. I. Mekhanika svyazannykh poley v elementakh konstruktsiy. T.1: Termouprugost. Kiev, Naukova Dumka. 57–123 (1987), (in Russian).
dc.relation.referencesen[7] Podstrigach Ya. S., Koljano Ju. M. Generalized thermomechanics. Kiev, Naukova Dumka. 277–291 (1976), (in Russian).
dc.relation.referencesen[8] Singh S., Jain P. K., Rizwan-uddin. Analytical Solution for Three-Dimensional, Unsteady Heat Conduction in a Multilayer Sphere. J. Heat Trans. 138 (10), 101301 (2016).
dc.relation.referencesen[9] Musii R., Melnyk N., Dmytruk V. Investigation of properties of contact connector of bimetallic hollow cylinder under the influence of electromagnetic pulse. Mathematical Modeling and Computing. 5 (2),193–200 (2018).
dc.relation.referencesen[10] Lurie A. I. Theory of Elasticity. Berlin, Springer–Verlag (2005).
dc.rights.holder©2020 Lviv Polytechnic National University CMM IAPMM NASU
dc.subjectбiметалева порожниста куля
dc.subjectтермонапружений стан
dc.subjectнесуча здатнiсть
dc.subjectвластивостi контактного з’єднання
dc.subjectелектромагнiтний iмпульс
dc.subjectbimetallic hollow sphere
dc.subjectthermal state
dc.subjectbearing capacity
dc.subjectproperties of contact connection
dc.subjectelectromagnetic pulse
dc.subject.udc74A10
dc.subject.udc74B10
dc.titleTechnological forecast of bearing capacity and properties of contact connection of bimetallic hollow spheres under electromagnetic pulses action
dc.title.alternativeПрогнозування несучої здатності і властивостей контактного з’єднання біметалевих порожнистих куль за дії електромагнітних імпульсів
dc.typeArticle

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