Determination and analysis of the thermoelastic state of layered orthotropic cylindrical shells

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dc.citation.epage926
dc.citation.issue3
dc.citation.journalTitleМатематичне моделювання та комп'ютинг
dc.citation.spage918
dc.contributor.affiliationНаціональний університет “Львівська політехніка”
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorМусій, Р.
dc.contributor.authorЖидик, У.
dc.contributor.authorСвідрак, І.
dc.contributor.authorШиндер, В.
dc.contributor.authorМорська, Н.
dc.contributor.authorMusii, R.
dc.contributor.authorZhydyk, U.
dc.contributor.authorSvidrak, I.
dc.contributor.authorShynder, V.
dc.contributor.authorMorska, N.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2025-03-04T12:17:31Z
dc.date.created2023-02-28
dc.date.issued2023-02-28
dc.description.abstractЗаписано вихідні співвідношення квазістатичної задачі термопружності для скінченної шаруватої ортотропної циліндричної оболонки антисиметричної структури. Закон вективного теплообміну на поверхнях даної оболонки і лінійної залежності температури від поперечної координати приведено вихідну систему рівнянь на інтегральні характеристики температури. Запропоновано метод розв’язування сформульованих задач термопружності і теплопровідності, який використовує подвійне скінченне інтегральне перетворення Фур’є за відповідними координатами перетворення і Лапласа за часом. Приведено результати числового аналізу температури, прогинів і напружень для розглядуваної двошарової шарнірно обпертої по краях оболонки за локального нагріву початково заданим температурним полем.
dc.description.abstractThe fundamental relations of the quasi-static problem of thermoelasticity are written for a finite layered orthotropic cylindrical shell of an antisymmetric structure. Under convective heat transfer on the surfaces of this shell and under a linear dependence of temperature on the transverse coordinate, the basic system of equations for the integral characteristics of temperature is given. The method is proposed for solving the formulated problems of thermoelasticity and thermal conductivity, using the double finite integral Fourier transform with respect to the corresponding coordinates of the transformation and Laplace transform with respect to the time. The results of a numerical analysis of temperature, deflections, and stresses for the considered two-layer shell hinged at the edges under local heating by the initially specified temperature field are presented.
dc.format.extent918-926
dc.format.pages9
dc.identifier.citationDetermination and analysis of the thermoelastic state of layered orthotropic cylindrical shells / R. Musii, U. Zhydyk, I. Svidrak, V. Shynder, N. Morska // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 3. — P. 918–926.
dc.identifier.citationenDetermination and analysis of the thermoelastic state of layered orthotropic cylindrical shells / R. Musii, U. Zhydyk, I. Svidrak, V. Shynder, N. Morska // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2023. — Vol 10. — No 3. — P. 918–926.
dc.identifier.doidoi.org/10.23939/mmc2023.03.918
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/63527
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofМатематичне моделювання та комп'ютинг, 3 (10), 2023
dc.relation.ispartofMathematical Modeling and Computing, 3 (10), 2023
dc.relation.references[1] Reddy J. N. Mechanics of laminated composite plates and shells. Theory and analysis. New York, CRC Press (2004).
dc.relation.references[2] Hetnarski R. Encyclopedia of Thermal Stresses. Springer (2014).
dc.relation.references[3] Kolyano Yu. M. Methods of thermal conductivity and thermoelasticity of heterogeneous bodies. Kyiv, Naukova dumka (1992).
dc.relation.references[4] Brischetto S., Carrera E. Heat conduction and thermal analysis in multilayered plates and shells. Mechanics Research Communications. 38 (6), 449–455 (2011).
dc.relation.references[5] Kushnir R. M., Nykolyshyn M. M., Zhydyk U. V., Flyachok V. M. On the theory of inhomogeneous anisotropic shells with initial stresses. Journal of Mathematical Sciences. 186, 61–72 (2012).
dc.relation.references[6] Tokovyy Y., Chyzh A., Ma C. C. An analytical solution to the asymmetric thermoelasticity problem for a cylinder with arbitrarily varying thermomechanical properties. Acta Mechanica. 230, 1469–1485 (2019).
dc.relation.references[7] Ootao Y., Tanigawa Y., Miyatake K. Transient thermal stresses of cross-ply laminated cylindrical shell using a higher-order shear deformation theory. Journal of Thermal Stresses. 33 (1), 55–74 (2010).
dc.relation.references[8] Zhydyk U., Nykolyshyn M., Flyachok V. Calculation of the thermoelastic state of a layered anisotropic cylindrical shell under local heating by heat sources. Visnyk Lviv. univer. Series: mech.-math. 73, 71–76 (2010).
dc.relation.references[9] Fazelzadeh S. A., Rahmani S., Ghavanloo E., Marzocca P. Thermoelastic vibration of doubly-curved nanocomposite shells reinforced of doubly-curved of doubly-curved nano-composite shells reinforced. Journal of Thermal Stresses. 42 (1), 1–17 (2019).
dc.relation.references[10] Punera D., Kant T., Desai Y. M. Thermoelastic analysis of laminated and functionally graded sandwich cylindrical shells with two refined higher order models. Journal of Thermal Stresses. 41 (1), 54–79 (2018).
dc.relation.references[11] Brischetto S., Carrera E. Coupled thermo-mechanical analysis of one-layered and multilayered isotropic and composite shells. Computer Modeling in Engineering & Sciences. 56 (3), 249–301 (2010).
dc.relation.references[12] Pandey S., Pradyumna S. Transient stress analysis of sandwich plate and shell panels with functionally graded material core under thermal shock. Journal of Thermal Stresses. 41 (5), 543–567 (2018).
dc.relation.references[13] Li Y., Yang L., Zhang L., Gao Y. Exact thermoelectroelastic solution of layered one-dimensional quasicrystal cylindrical shells. Journal of Thermal Stresses. 41 (10–12), 1450–1467 (2018).
dc.relation.references[14] Musii R. S., Zhydyk U. V., Mokryk O. Ya., Melnyk N. B. Functionally gradient isotropic cylindrical shell locally heated by heat sources. Mathematical Modeling and Computing. 6 (2), 367–373 (2019).
dc.relation.references[15] Musii R., Zhydyk U., Turchyn Ya., Svidrak I., Baibakova I. Stressed and strained state of layered cylindrical shell under local convective heating. Mathematical Modeling and Computing. 9 (1), 143–151 (2022).
dc.relation.referencesen[1] Reddy J. N. Mechanics of laminated composite plates and shells. Theory and analysis. New York, CRC Press (2004).
dc.relation.referencesen[2] Hetnarski R. Encyclopedia of Thermal Stresses. Springer (2014).
dc.relation.referencesen[3] Kolyano Yu. M. Methods of thermal conductivity and thermoelasticity of heterogeneous bodies. Kyiv, Naukova dumka (1992).
dc.relation.referencesen[4] Brischetto S., Carrera E. Heat conduction and thermal analysis in multilayered plates and shells. Mechanics Research Communications. 38 (6), 449–455 (2011).
dc.relation.referencesen[5] Kushnir R. M., Nykolyshyn M. M., Zhydyk U. V., Flyachok V. M. On the theory of inhomogeneous anisotropic shells with initial stresses. Journal of Mathematical Sciences. 186, 61–72 (2012).
dc.relation.referencesen[6] Tokovyy Y., Chyzh A., Ma C. C. An analytical solution to the asymmetric thermoelasticity problem for a cylinder with arbitrarily varying thermomechanical properties. Acta Mechanica. 230, 1469–1485 (2019).
dc.relation.referencesen[7] Ootao Y., Tanigawa Y., Miyatake K. Transient thermal stresses of cross-ply laminated cylindrical shell using a higher-order shear deformation theory. Journal of Thermal Stresses. 33 (1), 55–74 (2010).
dc.relation.referencesen[8] Zhydyk U., Nykolyshyn M., Flyachok V. Calculation of the thermoelastic state of a layered anisotropic cylindrical shell under local heating by heat sources. Visnyk Lviv. univer. Series: mech.-math. 73, 71–76 (2010).
dc.relation.referencesen[9] Fazelzadeh S. A., Rahmani S., Ghavanloo E., Marzocca P. Thermoelastic vibration of doubly-curved nanocomposite shells reinforced of doubly-curved of doubly-curved nano-composite shells reinforced. Journal of Thermal Stresses. 42 (1), 1–17 (2019).
dc.relation.referencesen[10] Punera D., Kant T., Desai Y. M. Thermoelastic analysis of laminated and functionally graded sandwich cylindrical shells with two refined higher order models. Journal of Thermal Stresses. 41 (1), 54–79 (2018).
dc.relation.referencesen[11] Brischetto S., Carrera E. Coupled thermo-mechanical analysis of one-layered and multilayered isotropic and composite shells. Computer Modeling in Engineering & Sciences. 56 (3), 249–301 (2010).
dc.relation.referencesen[12] Pandey S., Pradyumna S. Transient stress analysis of sandwich plate and shell panels with functionally graded material core under thermal shock. Journal of Thermal Stresses. 41 (5), 543–567 (2018).
dc.relation.referencesen[13] Li Y., Yang L., Zhang L., Gao Y. Exact thermoelectroelastic solution of layered one-dimensional quasicrystal cylindrical shells. Journal of Thermal Stresses. 41 (10–12), 1450–1467 (2018).
dc.relation.referencesen[14] Musii R. S., Zhydyk U. V., Mokryk O. Ya., Melnyk N. B. Functionally gradient isotropic cylindrical shell locally heated by heat sources. Mathematical Modeling and Computing. 6 (2), 367–373 (2019).
dc.relation.referencesen[15] Musii R., Zhydyk U., Turchyn Ya., Svidrak I., Baibakova I. Stressed and strained state of layered cylindrical shell under local convective heating. Mathematical Modeling and Computing. 9 (1), 143–151 (2022).
dc.rights.holder© Національний університет “Львівська політехніка”, 2023
dc.subjectортотропна
dc.subjectшарувата
dc.subjectциліндрична оболонка
dc.subjectтемпература
dc.subjectтермонапружений стан
dc.subjectтеплообмін
dc.subjectorthotropic
dc.subjectlayered
dc.subjectcylindrical shell
dc.subjecttemperature
dc.subjectthermally stressed state
dc.subjectheat transfer
dc.titleDetermination and analysis of the thermoelastic state of layered orthotropic cylindrical shells
dc.title.alternativeВизначення і аналіз термопружного стану шаруватих ортотропних циліндричних оболонок
dc.typeArticle

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Mathematical Modeling And Computing. – 2023. – Vol. 10, No. 3