Mathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures

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dc.citation.epage146
dc.citation.issue2
dc.citation.spage134
dc.contributor.affiliationІнститут прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
dc.contributor.affiliationПолітехніка Опольска
dc.contributor.affiliationЦентр математичного моделювання Інституту прикладних проблем механіки і математики ім. Я. С. Підстригача НАН України
dc.contributor.affiliationНаціональний університет “Львівська політехніка”
dc.contributor.affiliationPidstryhach Institute for Applied Problems of Mechanics and Mathematics
dc.contributor.affiliationOpole University of Tecnnology
dc.contributor.affiliationCentre of Mathematical Modelling IAPMM of Ukranian National Academy of Sciences
dc.contributor.affiliationLviv Polytechnic National University
dc.contributor.authorГачкевич, О.
dc.contributor.authorГачкевич, М.
dc.contributor.authorТорський, А.
dc.contributor.authorДмитрук, В.
dc.contributor.authorHachkevych, O.
dc.contributor.authorHachkevych, M.
dc.contributor.authorTorskyy, A.
dc.contributor.authorDmytruk, V.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2020-02-27T08:51:48Z
dc.date.available2020-02-27T08:51:48Z
dc.date.created2018-02-26
dc.date.issued2018-02-26
dc.description.abstractПобудовано математичну модель і розв’язано задачу оптимізації режимів відпалу термочутливих скляних елементів конструкцій з використанням числових методів і варіаційного числення. Як приклад побудовано і проаналізовані оптимальні режими відпалу конкретних скляних пластин за різних значень допустимих напружень.
dc.description.abstractA mathematical model is constructed and a problem of optimization of annealing regimes of thermosensitive glass elements of constructions with the use of numerical methods and variational calculus is solved. As an example, the optimal regimes of annealing of specific glass plates for different values of permissible stresses are constructed and analyzed.
dc.format.extent134-146
dc.format.pages13
dc.identifier.citationMathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures / O. Hachkevych, M. Hachkevych, A. Torskyy, V. Dmytruk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 134–146.
dc.identifier.citationenMathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures / O. Hachkevych, M. Hachkevych, A. Torskyy, V. Dmytruk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2018. — Vol 5. — No 2. — P. 134–146.
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/46135
dc.language.isoen
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 2 (5), 2018
dc.relation.references1. Grigolyuk E., Podstrigach Ya., Burak Ya. Optimization of heating of shells and plates. Kiev, Naukova dumka (1979), (in Russian).
dc.relation.references2. Biswas P. Thermal Stresses, Deformations and Vibrations of Plates and Shells — A Nonlinear Approach. Procedia Engineering. 144, 1023–1030 (2016).
dc.relation.references3. Podstrigach Ya., Kolyano Yu., Semerak M. Temperature fields and stresses in elements of electrovacuum devices. Kiev, Naukova dumka (1981), (in Russian).
dc.relation.references4. Carrera E., Fazzolari F., Cinefra M. Thermal Stress Analysis of Composite Beams, Plates and Shells. Computational Modelling and Applications. Massachusetts, Academic Press (2016).
dc.relation.references5. Bartenev H. Mechanical properties and heat treatment of glass. Moscow, Stroyizdat (1960), (in Russian).
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dc.relation.references7. Pukh V. Strength and destruction of glass. Moscow, Nauka (1973), (in Russian).
dc.relation.references8. Solntsev S., Morozov E. The destruction of glass. Moscow, Mechanical Engineering (1978), (in Russian).
dc.relation.references9. Budz S., Gachkevich N. Optimization of heat treatment of piecewise homogeneous shells of ELB with allowance for the temperature dependence of the material characteristics. Physico-chemical mechanics of materials. 5, 111–113 (1987), (in Russian).
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dc.relation.references12. Gachkevich O., Gachkevich M., Budz S. Optimization under the stress state of the heating modes of glass lump-homogeneous membranes. Lviv, Pidstryhach Institute for Applied Problems of Mech. and Math., National Academy of Sciences of Ukraine (2014), (in Ukrainian).
dc.relation.references13. Korn G., Korn T. Reference on mathematics. Moscow, Nauka (1974).
dc.relation.references14. Marchuk G. Methods of computational mathematics. Moscow, Nauka (1977), (in Russian).
dc.relation.references15. Gachkevich M., Gachkevich O., Torskyy A., Dmytruk V. Mathematical models and methods of optimization of technological heating regimes of the piecewise homogeneous glass shell. State-of-the-art investigations. Mathematical Modeling and Computing. 2 (2), 140–153 (2015).
dc.relation.references16. Baranovsky V., Gusev V., Ivanov V. and others. Production of color kinescopes. Ed. Baranovsky V. Moscow, Energia (1978), (in Russian).
dc.relation.referencesen1. Grigolyuk E., Podstrigach Ya., Burak Ya. Optimization of heating of shells and plates. Kiev, Naukova dumka (1979), (in Russian).
dc.relation.referencesen2. Biswas P. Thermal Stresses, Deformations and Vibrations of Plates and Shells - A Nonlinear Approach. Procedia Engineering. 144, 1023–1030 (2016).
dc.relation.referencesen3. Podstrigach Ya., Kolyano Yu., Semerak M. Temperature fields and stresses in elements of electrovacuum devices. Kiev, Naukova dumka (1981), (in Russian).
dc.relation.referencesen4. Carrera E., Fazzolari F., Cinefra M. Thermal Stress Analysis of Composite Beams, Plates and Shells. Computational Modelling and Applications. Massachusetts, Academic Press (2016).
dc.relation.referencesen5. Bartenev H. Mechanical properties and heat treatment of glass. Moscow, Stroyizdat (1960), (in Russian).
dc.relation.referencesen6. Bartenev H. High-strength and highly-strength inorganic glasses. Moscow, Stroyizdat (1974), (in Russian).
dc.relation.referencesen7. Pukh V. Strength and destruction of glass. Moscow, Nauka (1973), (in Russian).
dc.relation.referencesen8. Solntsev S., Morozov E. The destruction of glass. Moscow, Mechanical Engineering (1978), (in Russian).
dc.relation.referencesen9. Budz S., Gachkevich N. Optimization of heat treatment of piecewise homogeneous shells of ELB with allowance for the temperature dependence of the material characteristics. Physico-chemical mechanics of materials. 5, 111–113 (1987), (in Russian).
dc.relation.referencesen10. Chernousko F., Banichuk N. Variational problems of mechanics and control. Moscow, Nauka (1973), (in Russian).
dc.relation.referencesen11. Norry D., Freese J. An Introduction to the Finite Element Method. Moscow, Mir (1981).
dc.relation.referencesen12. Gachkevich O., Gachkevich M., Budz S. Optimization under the stress state of the heating modes of glass lump-homogeneous membranes. Lviv, Pidstryhach Institute for Applied Problems of Mech. and Math., National Academy of Sciences of Ukraine (2014), (in Ukrainian).
dc.relation.referencesen13. Korn G., Korn T. Reference on mathematics. Moscow, Nauka (1974).
dc.relation.referencesen14. Marchuk G. Methods of computational mathematics. Moscow, Nauka (1977), (in Russian).
dc.relation.referencesen15. Gachkevich M., Gachkevich O., Torskyy A., Dmytruk V. Mathematical models and methods of optimization of technological heating regimes of the piecewise homogeneous glass shell. State-of-the-art investigations. Mathematical Modeling and Computing. 2 (2), 140–153 (2015).
dc.relation.referencesen16. Baranovsky V., Gusev V., Ivanov V. and others. Production of color kinescopes. Ed. Baranovsky V. Moscow, Energia (1978), (in Russian).
dc.rights.holderCMM IAPMM NASU
dc.rights.holder© 2018 Lviv Polytechnic National University
dc.subjectтеплові режими в виробничих процесах
dc.subjectоптимізація відносно напруженого стану
dc.subjectтермочутливі скляні елементи
dc.subjectthermal regimes in production processes
dc.subjectoptimization of relatively stressed state
dc.subjectthermosensitive glass elements
dc.subject.udc539.3
dc.titleMathematical model of optimization of annealing regimes by the stress state for heat-sensitive glass elements of structures
dc.title.alternativeМатематична модель оптимізації за напруженим станом режимів відпалу термочутливих скляних елементів конструкцій
dc.typeArticle

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Mathematical Modeling And Computing. – 2018. – Vol. 5, No. 2