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    PRETEEN AGE: THE ANALYSIS OF THE MULTILEVEL PSYCHO-DIAGNOSTIC DATA BASED ON NEURAL NETWORK MODELS

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    The use of the artificial neural network (ANN) models for vertical system analysis of psycho-diagnostic data is suggested. It is shown that the ANN training, as the problem of nonlinear multi-parameter optimization, allows to create effective algorithms for the psycho-diagnostic data processing when the results of psychological testing for the different level’s characteristics have different numerical scales. On the example of processing the author's data of psycho-diagnostics (preadolescent schoolchildren), it is shown that neural network models can be used to estimate latent (hidden) connections between psychological characteristics. The proposed algorithms are based on a statistical assessment of the quality of such models, do not require a large sample of respondents. The quantitative statistical criteria for evaluating the quality of the models are estimated. The approach is sufficiently clear for practical use by psychologists who do not have a special mathematical preparation

    Π ΠΎΠ·Ρ€ΠΎΠ±ΠΊΠ° Ρ€ΠΎΠ·ΠΌΡ–Ρ€ΠΎΡΡ‚Π°Π±Ρ–Π»ΡŒΠ½ΠΈΡ… схСм Π±Π°Π³Π°Ρ‚ΠΎΡˆΠ°Ρ€ΠΎΠ²ΠΈΡ… Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Ρ–Π² Ρ– Ρ†ΠΈΠ»Ρ–Π½Π΄Ρ€ΠΈΡ‡Π½ΠΈΡ… посудин тиску Π· вуглСпластиків

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    In the framework of the momentless theory of cylindrical thin shells, the elastic deformation of multilayer pipes and pressure vessels is investigated. It is assumed that the pipes and pressure vessels are made by two-way spiral winding of carbon fiber reinforced plastic tape on a metal mandrel.The analysis of the dependences of elastic deformations on the reinforcement angles is performed. The relations for axial and circumferential deformations of the wall, depending on the structure of the layer package, reinforcement angles under static loading are obtained. The separate and combined effect of internal pressure and temperature is considered. For the separate effect of loads, the graphs of deformations against the winding angle are plotted.Composite pipes made of KMU-4L carbon fiber reinforced plastic, as well as composite metal-composite pipes, are investigated. The results obtained for thermal loads are in good agreement with the data of the known experiment and solution. Depending on the load parameters, composite and metal-composite structures with dimensionally stable properties are determined.It is shown that dimensionally stable structures can be used to solve the problem of compensation of elastic deformations of pipelines. For this purpose, using the ASCP software package, the variant analysis of model structures is performed. By the comparative analysis of the three versions of the structure, layer package structures and reinforcement schemes, ensuring a significant reduction of loads on the supporting elements are obtained. On the example of a pipeline with a flowing fluid, it is shown that the use of dimensionally stable multilayer pipes makes it possible to eliminate bending deformations and significantly reduce the level of working forces and stresses.Dimensionally stable composite multilayer pipes open up new approaches to the design of pipelines and pressure vessels. It is possible to create structures with predetermined (not necessarily zero) displacement fields, consistent with the fields of the initial technological displacements, as well as with the displacements of conjugate elastic elements and equipment when the operating mode changes. The scope of such structures is not limited to "hot" pipes. The results can be used in cryogenic engineeringΠ’ Ρ€Π°ΠΌΠΊΠ°Ρ… Π±Π΅Π·ΠΌΠΎΠΌΠ΅Π½Ρ‚Π½ΠΎΠΉ Ρ‚Π΅ΠΎΡ€ΠΈΠΈ цилиндричСских Ρ‚ΠΎΠ½ΠΊΠΈΡ… ΠΎΠ±ΠΎΠ»ΠΎΡ‡Π΅ΠΊ исслСдовано ΡƒΠΏΡ€ΡƒΠ³ΠΎΠ΅ Π΄Π΅Ρ„ΠΎΡ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½ΠΈΠ΅ многослойных Ρ‚Ρ€ΡƒΠ± ΠΈ сосудов давлСния. ΠŸΡ€Π΅Π΄ΠΏΠΎΠ»Π°Π³Π°Π΅Ρ‚ΡΡ, Ρ‡Ρ‚ΠΎ Ρ‚Ρ€ΡƒΠ±Ρ‹ ΠΈ сосуды давлСния Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½Ρ‹ пСрСкрСстной ΡΠΏΠΈΡ€Π°Π»ΡŒΠ½ΠΎΠΉ Π½Π°ΠΌΠΎΡ‚ΠΊΠΎΠΉ Π°Ρ€ΠΌΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠΉ Π»Π΅Π½Ρ‚Ρ‹ ΠΈΠ· углСпластика Π½Π° ΠΌΠ΅Ρ‚Π°Π»Π»ΠΈΡ‡Π΅ΡΠΊΡƒΡŽ ΠΎΠΏΡ€Π°Π²ΠΊΡƒ.Π’Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ Π°Π½Π°Π»ΠΈΠ· зависимостСй ΡƒΠΏΡ€ΡƒΠ³ΠΈΡ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΉ ΠΎΡ‚ ΡƒΠ³Π»ΠΎΠ² армирования. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ ΡΠΎΠΎΡ‚Π½ΠΎΡˆΠ΅Π½ΠΈΡ для осСвых ΠΈ ΠΎΠΊΡ€ΡƒΠΆΠ½Ρ‹Ρ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΉ стСнки Π² зависимости ΠΎΡ‚ структуры ΠΏΠ°ΠΊΠ΅Ρ‚Π° слоСв, ΡƒΠ³Π»ΠΎΠ² армирования ΠΏΡ€ΠΈ статичСском Π½Π°Π³Ρ€ΡƒΠΆΠ΅Π½ΠΈΠΈ. РассмотрСно обособлСнноС ΠΈ ΠΊΠΎΠΌΠ±ΠΈΠ½ΠΈΡ€ΠΎΠ²Π°Π½Π½ΠΎΠ΅ дСйствиС Π²Π½ΡƒΡ‚Ρ€Π΅Π½Π½Π΅Π³ΠΎ давлСния ΠΈ Ρ‚Π΅ΠΌΠΏΠ΅Ρ€Π°Ρ‚ΡƒΡ€Ρ‹. Для обособлСнного дСйствия Π½Π°Π³Ρ€ΡƒΠ·ΠΎΠΊ построСны Π³Ρ€Π°Ρ„ΠΈΠΊΠΈ зависимостСй Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΉ ΠΎΡ‚ ΡƒΠ³Π»Π° Π½Π°ΠΌΠΎΡ‚ΠΊΠΈ.Π˜ΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ‹ ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ‹Π΅ Ρ‚Ρ€ΡƒΠ±Ρ‹, ΠΈΠ·Π³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½Π½Ρ‹Π΅ ΠΈΠ· углСпластика[s1]Β  KМУ-4Π›, Π° Ρ‚Π°ΠΊΠΆΠ΅ составныС ΠΌΠ΅Ρ‚Π°Π»Π»ΠΎ-ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ‹Π΅ Ρ‚Ρ€ΡƒΠ±Ρ‹. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹, ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ для Ρ‚Π΅ΠΏΠ»ΠΎΠ²Ρ‹Ρ… Π½Π°Π³Ρ€ΡƒΠ·ΠΎΠΊ, Ρ…ΠΎΡ€ΠΎΡˆΠΎ ΡΠΎΠ³Π»Π°ΡΡƒΡŽΡ‚ΡΡ с Π΄Π°Π½Π½Ρ‹ΠΌΠΈ извСстного экспСримСнта ΠΈ Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ. Π’ зависимости ΠΎΡ‚ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€ΠΎΠ² Π½Π°Π³Ρ€ΡƒΠ·ΠΎΠΊ ΠΎΠΏΡ€Π΅Π΄Π΅Π»Π΅Π½Ρ‹ ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ‹Π΅ ΠΈ ΠΌΠ΅Ρ‚Π°Π»Π»ΠΎ-ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ‹Π΅ структуры с Ρ€Π°Π·ΠΌΠ΅Ρ€ΠΎΡΡ‚Π°Π±ΠΈΠ»ΡŒΠ½Ρ‹ΠΌΠΈ свойствами.Показано, Ρ‡Ρ‚ΠΎ Ρ€Π°Π·ΠΌΠ΅Ρ€ΠΎΡΡ‚Π°Π±ΠΈΠ»ΡŒΠ½Ρ‹Π΅ структуры ΠΌΠΎΠ³ΡƒΡ‚ Π±Ρ‹Ρ‚ΡŒ ΠΈΡΠΏΠΎΠ»ΡŒΠ·ΠΎΠ²Π°Π½Ρ‹ для Ρ€Π΅ΡˆΠ΅Π½ΠΈΡ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΡ‹ компСнсации ΡƒΠΏΡ€ΡƒΠ³ΠΈΡ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΉ Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ². Π‘ этой Ρ†Π΅Π»ΡŒΡŽ ΠΏΡ€ΠΈ ΠΏΠΎΠΌΠΎΡ‰ΠΈ ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠΌΠ½ΠΎΠ³ΠΎ комплСкса ASCP Π²Ρ‹ΠΏΠΎΠ»Π½Π΅Π½ Π²Π°Ρ€ΠΈΠ°Π½Ρ‚Π½Ρ‹ΠΉ Π°Π½Π°Π»ΠΈΠ· модСльной конструкций. ΠŸΡƒΡ‚Π΅ΠΌ ΡΠΎΠΏΠΎΡΡ‚Π°Π²ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° Ρ‚Ρ€Π΅Ρ… Π²Π°Ρ€ΠΈΠ°Π½Ρ‚ΠΎΠ² конструкции ΠΏΠΎΠ»ΡƒΡ‡Π΅Π½Ρ‹ структуры ΠΏΠ°ΠΊΠ΅Ρ‚ΠΎΠ² слоСв ΠΈ схСмы армирования, ΠΎΠ±Π΅ΡΠΏΠ΅Ρ‡ΠΈΠ²Π°ΡŽΡ‰ΠΈΠ΅ Π·Π½Π°Ρ‡ΠΈΡ‚Π΅Π»ΡŒΠ½ΠΎΠ΅ сниТСниС Π½Π°Π³Ρ€ΡƒΠ·ΠΎΠΊ Π½Π° ΠΎΠΏΠΎΡ€Π½Ρ‹Π΅ элСмСнты. На ΠΏΡ€ΠΈΠΌΠ΅Ρ€Π΅ Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Π° с ΠΏΡ€ΠΎΡ‚Π΅ΠΊΠ°ΡŽΡ‰Π΅ΠΉ ΠΆΠΈΠ΄ΠΊΠΎΡΡ‚ΡŒΡŽ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‡Ρ‚ΠΎ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ρ€Π°Π·ΠΌΠ΅Ρ€ΠΎΡΡ‚Π°Π±ΠΈΠ»ΡŒΠ½Ρ‹Ρ… многослойных Ρ‚Ρ€ΡƒΠ± позволяСт ΠΈΡΠΊΠ»ΡŽΡ‡ΠΈΡ‚ΡŒ Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†ΠΈΠΈ ΠΈΠ·Π³ΠΈΠ±Π° ΠΈ Π·Π°ΠΌΠ΅Ρ‚Π½ΠΎ ΠΏΠΎΠ½ΠΈΠ·ΠΈΡ‚ΡŒ ΡƒΡ€ΠΎΠ²Π΅Π½ΡŒ Ρ€Π°Π±ΠΎΡ‡ΠΈΡ… усилий ΠΈ напряТСний.Π Π°Π·ΠΌΠ΅Ρ€ΠΎΡΡ‚Π°Π±ΠΈΠ»ΡŒΠ½Ρ‹Π΅ многослойныС Ρ‚Ρ€ΡƒΠ±Ρ‹ ΠΈΠ· ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚ΠΎΠ² ΠΎΡ‚ΠΊΡ€Ρ‹Π²Π°ΡŽΡ‚ Π½ΠΎΠ²Ρ‹Π΅ ΠΏΠΎΠ΄Ρ…ΠΎΠ΄Ρ‹ ΠΊ ΠΏΡ€ΠΎΠ΅ΠΊΡ‚ΠΈΡ€ΠΎΠ²Π°Π½ΠΈΡŽ Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄ΠΎΠ² ΠΈ сосудов ΠΏΠΎΠ΄ Π΄Π°Π²Π»Π΅Π½ΠΈΠ΅ΠΌ. ΠŸΠΎΡΠ²Π»ΡΡŽΡ‚ΡΡ возмоТности создания конструкций с Π½Π°ΠΏΠ΅Ρ€Π΅Π΄ Π·Π°Π΄Π°Π½Π½Ρ‹ΠΌΠΈ (Π½Π΅ ΠΎΠ±ΡΠ·Π°Ρ‚Π΅Π»ΡŒΠ½ΠΎ Π½ΡƒΠ»Π΅Π²Ρ‹ΠΌΠΈ) полями ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Ρ‰Π΅Π½ΠΈΠΉ, согласованными с полями Π½Π°Ρ‡Π°Π»ΡŒΠ½Ρ‹Ρ… тСхнологичСских ΠΏΠ΅Ρ€Π΅ΠΌΠ΅Ρ‰Π΅Π½ΠΈΠΉ, Π° Ρ‚Π°ΠΊΠΆΠ΅ с пСрСмСщСниями сопряТСнных ΡƒΠΏΡ€ΡƒΠ³ΠΈΡ… элСмСнтов ΠΈ оборудования ΠΏΡ€ΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ Ρ€Π΅ΠΆΠΈΠΌΠ° Ρ€Π°Π±ΠΎΡ‚Ρ‹. ΠžΠ±Π»Π°ΡΡ‚ΡŒ примСнСния ΠΏΠΎΠ΄ΠΎΠ±Π½Ρ‹Ρ… конструкций Π½Π΅ ограничиваСтся "горячими" Ρ‚Ρ€ΡƒΠ±Π°ΠΌΠΈ. ΠŸΠΎΠ»ΡƒΡ‡Π΅Π½Π½Ρ‹Π΅ Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚Ρ‹ ΠΌΠΎΠ³ΡƒΡ‚ Π½Π°ΠΉΡ‚ΠΈ ΠΏΡ€ΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π² ΠΊΡ€ΠΈΠΎΠ³Π΅Π½Π½ΠΎΠΉ Ρ‚Π΅Ρ…Π½ΠΈΠΊΠ΅Β Π’ Ρ€Π°ΠΌΠΊΠ°Ρ… Π±Π΅Π·ΠΌΠΎΠΌΠ΅Π½Ρ‚Π½ΠΎΡ— Ρ‚Π΅ΠΎΡ€Ρ–Ρ— Ρ†ΠΈΠ»Ρ–Π½Π΄Ρ€ΠΈΡ‡Π½ΠΈΡ… Ρ‚ΠΎΠ½ΠΊΠΈΡ… ΠΎΠ±ΠΎΠ»ΠΎΠ½ΠΎΠΊ дослідТСно ΠΏΡ€ΡƒΠΆΠ½Π΅ дСформування Π±Π°Π³Π°Ρ‚ΠΎΡˆΠ°Ρ€ΠΎΠ²ΠΈΡ… Ρ‚Ρ€ΡƒΠ± Ρ– посудин тиску. ΠŸΠ΅Ρ€Π΅Π΄Π±Π°Ρ‡Π°Ρ”Ρ‚ΡŒΡΡ, Ρ‰ΠΎ Ρ‚Ρ€ΡƒΠ±ΠΈ Ρ– посудини тиску Π²ΠΈΠΊΠΎΠ½Π°Π½Ρ– пСрСхрСсної ΡΠΏΡ–Ρ€Π°Π»ΡŒΠ½ΠΎΡ— намотуванням Π°Ρ€ΠΌΠΎΠ²Π°Π½ΠΎΡ— стрічки Π· вуглСпластика Π½Π° ΠΌΠ΅Ρ‚Π°Π»Π΅Π²Ρƒ оправлСння.Π’ΠΈΠΊΠΎΠ½Π°Π½ΠΎ Π°Π½Π°Π»Ρ–Π· залСТностСй ΠΏΡ€ΡƒΠΆΠ½ΠΈΡ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†Ρ–ΠΉ Π²Ρ–Π΄ ΠΊΡƒΡ‚Ρ–Π² армування. ΠžΡ‚Ρ€ΠΈΠΌΠ°Π½ΠΎ ΡΠΏΡ–Π²Π²Ρ–Π΄Π½ΠΎΡˆΠ΅Π½Π½Ρ для ΠΎΡΡŒΠΎΠ²ΠΈΡ… Ρ– ΠΎΠΊΡ€ΡƒΠΆΠ½ΠΈΡ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†Ρ–ΠΉ стінки Π² залСТності Π²Ρ–Π΄ структури ΠΏΠ°ΠΊΠ΅Ρ‚Π° ΡˆΠ°Ρ€Ρ–Π², ΠΊΡƒΡ‚Ρ–Π² армування ΠΏΡ€ΠΈ статичному Π½Π°Π²Π°Π½Ρ‚Π°ΠΆΠ΅Π½Π½Ρ–. Розглянуто Π²Ρ–Π΄ΠΎΠΊΡ€Π΅ΠΌΠ»Π΅Π½Π° Ρ– ΠΊΠΎΠΌΠ±Ρ–Π½ΠΎΠ²Π°Π½Π° дія Π²Π½ΡƒΡ‚Ρ€Ρ–ΡˆΠ½ΡŒΠΎΠ³ΠΎ тиску Ρ– Ρ‚Π΅ΠΌΠΏΠ΅Ρ€Π°Ρ‚ΡƒΡ€ΠΈ. Для Π²Ρ–Π΄ΠΎΠΊΡ€Π΅ΠΌΠ»Π΅Π½ΠΎΡ— Π΄Ρ–Ρ— Π½Π°Π²Π°Π½Ρ‚Π°ΠΆΠ΅Π½ΡŒ ΠΏΠΎΠ±ΡƒΠ΄ΠΎΠ²Π°Π½Ρ– Π³Ρ€Π°Ρ„Ρ–ΠΊΠΈ залСТностСй Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†Ρ–ΠΉ Π²Ρ–Π΄ ΠΊΡƒΡ‚Π° намотування.ДослідТСно ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ– Ρ‚Ρ€ΡƒΠ±ΠΈ, Π²ΠΈΠ³ΠΎΡ‚ΠΎΠ²Π»Π΅Π½Ρ– Π· вуглСпластика KМУ-4Π›, Π° Ρ‚Π°ΠΊΠΎΠΆ складові ΠΌΠ΅Ρ‚Π°Π»ΠΎ-ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ– Ρ‚Ρ€ΡƒΠ±ΠΈ. Π Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΈ, ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– для Ρ‚Π΅ΠΏΠ»ΠΎΠ²ΠΈΡ… Π½Π°Π²Π°Π½Ρ‚Π°ΠΆΠ΅Π½ΡŒ, Π΄ΠΎΠ±Ρ€Π΅ ΡƒΠ·Π³ΠΎΠ΄ΠΆΡƒΡŽΡ‚ΡŒΡΡ Π· Π΄Π°Π½ΠΈΠΌΠΈ Π²Ρ–Π΄ΠΎΠΌΠΎΠ³ΠΎ СкспСримСнту Ρ– Ρ€Ρ–ΡˆΠ΅Π½Π½Ρ. Π—Π°Π»Π΅ΠΆΠ½ΠΎ Π²Ρ–Π΄ ΠΏΠ°Ρ€Π°ΠΌΠ΅Ρ‚Ρ€Ρ–Π² Π½Π°Π²Π°Π½Ρ‚Π°ΠΆΠ΅Π½ΡŒ Π²ΠΈΠ·Π½Π°Ρ‡Π΅Π½Ρ– ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ– Ρ‚Π° ΠΌΠ΅Ρ‚Π°Π»ΠΎ-ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Π½Ρ– структури Π· Ρ€ΠΎΠ·ΠΌΡ–Ρ€ΠΎΡΡ‚Π°Π±Ρ–Π»ΡŒΠ½ΠΈΠΌΠΈ властивостями.Показано, Ρ‰ΠΎ Ρ€ΠΎΠ·ΠΌΡ–Ρ€ΠΎΡΡ‚Π°Π±Ρ–Π»ΡŒΠ½Ρ– структури ΠΌΠΎΠΆΡƒΡ‚ΡŒ Π±ΡƒΡ‚ΠΈ використані для Π²ΠΈΡ€Ρ–ΡˆΠ΅Π½Π½Ρ ΠΏΡ€ΠΎΠ±Π»Π΅ΠΌΠΈ компСнсації ΠΏΡ€ΡƒΠΆΠ½ΠΈΡ… Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†Ρ–ΠΉ Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Ρ–Π². Π— Ρ†Ρ–Ρ”ΡŽ ΠΌΠ΅Ρ‚ΠΎΡŽ Π·Π° допомогою ΠΏΡ€ΠΎΠ³Ρ€Π°ΠΌΠ½ΠΎΠ³ΠΎ комплСксу ASCP Π²ΠΈΠΊΠΎΠ½Π°Π½ΠΈΠΉ Π²Π°Ρ€Ρ–Π°Π½Ρ‚Π½ΠΈΠΉ Π°Π½Π°Π»Ρ–Π· ΠΌΠΎΠ΄Π΅Π»ΡŒΠ½ΠΎΡ— конструкції. Шляхом ΠΏΠΎΡ€Ρ–Π²Π½ΡΠ»ΡŒΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»Ρ–Π·Ρƒ Ρ‚Ρ€ΡŒΠΎΡ… Π²Π°Ρ€Ρ–Π°Π½Ρ‚Ρ–Π² конструкції ΠΎΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– структури ΠΏΠ°ΠΊΠ΅Ρ‚Ρ–Π² ΡˆΠ°Ρ€Ρ–Π² Ρ– схСми армування, Ρ‰ΠΎΠ± Π·Π°Π±Π΅Π·ΠΏΠ΅Ρ‡ΠΈΡ‚ΠΈ Π·Π½Π°Ρ‡Π½Π΅ зниТСння Π½Π°Π²Π°Π½Ρ‚Π°ΠΆΠ΅Π½ΡŒ Π½Π° ΠΎΠΏΠΎΡ€Π½Ρ– Π΅Π»Π΅ΠΌΠ΅Π½Ρ‚ΠΈ. На ΠΏΡ€ΠΈΠΊΠ»Π°Π΄Ρ– Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Ρƒ Π· ΠΏΡ€ΠΎΡ‚Ρ–ΠΊΠ°ΡŽΡ‡ΠΎΡŽ Ρ€Ρ–Π΄ΠΈΠ½ΠΎΡŽ ΠΏΠΎΠΊΠ°Π·Π°Π½ΠΎ, Ρ‰ΠΎ застосування Ρ€ΠΎΠ·ΠΌΡ–Ρ€ΠΎΡΡ‚Π°Π±Ρ–Π»ΡŒΠ½ΠΈΡ… Π±Π°Π³Π°Ρ‚ΠΎΡˆΠ°Ρ€ΠΎΠ²ΠΈΡ… Ρ‚Ρ€ΡƒΠ± дозволяє Π²ΠΈΠΊΠ»ΡŽΡ‡ΠΈΡ‚ΠΈ Π΄Π΅Ρ„ΠΎΡ€ΠΌΠ°Ρ†Ρ–Ρ— Π²ΠΈΠ³ΠΈΠ½Ρƒ Ρ– ΠΏΠΎΠΌΡ–Ρ‚Π½ΠΎ Π·Π½ΠΈΠ·ΠΈΡ‚ΠΈ Ρ€Ρ–Π²Π΅Π½ΡŒ Ρ€ΠΎΠ±ΠΎΡ‡ΠΈΡ… Π·ΡƒΡΠΈΠ»ΡŒ Ρ– Π½Π°ΠΏΡ€ΡƒΠΆΠ΅Π½ΡŒ.Π ΠΎΠ·ΠΌΡ–Ρ€ΠΎΡΡ‚Π°Π±Ρ–Π»ΡŒΠ½Ρ– Π±Π°Π³Π°Ρ‚ΠΎΡˆΠ°Ρ€ΠΎΠ²Ρ– Ρ‚Ρ€ΡƒΠ±ΠΈ Π· ΠΊΠΎΠΌΠΏΠΎΠ·ΠΈΡ‚Ρ–Π² Π²Ρ–Π΄ΠΊΡ€ΠΈΠ²Π°ΡŽΡ‚ΡŒ Π½ΠΎΠ²Ρ– ΠΏΡ–Π΄Ρ…ΠΎΠ΄ΠΈ Π΄ΠΎ проСктування Ρ‚Ρ€ΡƒΠ±ΠΎΠΏΡ€ΠΎΠ²ΠΎΠ΄Ρ–Π² Ρ– посудин ΠΏΡ–Π΄ тиском. Π—'ΡΠ²Π»ΡΡŽΡ‚ΡŒΡΡ моТливості створСння конструкцій Π· Π½Π°ΠΏΠ΅Ρ€Π΅Π΄ Π·Π°Π΄Π°Π½ΠΈΠΌΠΈ (Π½Π΅ ΠΎΠ±ΠΎΠ²'язково Π½ΡƒΠ»ΡŒΠΎΠ²ΠΈΠΌΠΈ) полями ΠΏΠ΅Ρ€Π΅ΠΌΡ–Ρ‰Π΅Π½ΡŒ, ΡƒΠ·Π³ΠΎΠ΄ΠΆΠ΅Π½ΠΈΠΌΠΈ Π· полями ΠΏΠΎΡ‡Π°Ρ‚ΠΊΠΎΠ²ΠΈΡ… Ρ‚Π΅Ρ…Π½ΠΎΠ»ΠΎΠ³Ρ–Ρ‡Π½ΠΈΡ… ΠΏΠ΅Ρ€Π΅ΠΌΡ–Ρ‰Π΅Π½ΡŒ, Π° Ρ‚Π°ΠΊΠΎΠΆ Π· пСрСміщСннями сполучСних ΠΏΡ€ΡƒΠΆΠ½ΠΈΡ… Π΅Π»Π΅ΠΌΠ΅Π½Ρ‚Ρ–Π² Ρ– устаткування ΠΏΡ€ΠΈ Π·ΠΌΡ–Π½Ρ– Ρ€Π΅ΠΆΠΈΠΌΡƒ Ρ€ΠΎΠ±ΠΎΡ‚ΠΈ. ΠžΠ±Π»Π°ΡΡ‚ΡŒ застосування ΠΏΠΎΠ΄Ρ–Π±Π½ΠΈΡ… конструкцій Π½Π΅ ΠΎΠ±ΠΌΠ΅ΠΆΡƒΡ”Ρ‚ΡŒΡΡ «гарячими» Ρ‚Ρ€ΡƒΠ±Π°ΠΌΠΈ. ΠžΡ‚Ρ€ΠΈΠΌΠ°Π½Ρ– Ρ€Π΅Π·ΡƒΠ»ΡŒΡ‚Π°Ρ‚ΠΈ ΠΌΠΎΠΆΡƒΡ‚ΡŒ Π·Π½Π°ΠΉΡ‚ΠΈ застосування Π² ΠΊΡ€Ρ–ΠΎΠ³Π΅Π½Π½Ρ–ΠΉ Ρ‚Π΅Ρ…Π½Ρ–Ρ†

    Development of Dimensionally Stable Structures of Multilayer Pipelines and Cylindrical Pressure Vessels From Carbon Fiber Reinforced Plastic

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    In the framework of the momentless theory of cylindrical thin shells, the elastic deformation of multilayer pipes and pressure vessels is investigated. It is assumed that the pipes and pressure vessels are made by two-way spiral winding of carbon fiber reinforced plastic tape on a metal mandrel.The analysis of the dependences of elastic deformations on the reinforcement angles is performed. The relations for axial and circumferential deformations of the wall, depending on the structure of the layer package, reinforcement angles under static loading are obtained. The separate and combined effect of internal pressure and temperature is considered. For the separate effect of loads, the graphs of deformations against the winding angle are plotted.Composite pipes made of KMU-4L carbon fiber reinforced plastic, as well as composite metal-composite pipes, are investigated. The results obtained for thermal loads are in good agreement with the data of the known experiment and solution. Depending on the load parameters, composite and metal-composite structures with dimensionally stable properties are determined.It is shown that dimensionally stable structures can be used to solve the problem of compensation of elastic deformations of pipelines. For this purpose, using the ASCP software package, the variant analysis of model structures is performed. By the comparative analysis of the three versions of the structure, layer package structures and reinforcement schemes, ensuring a significant reduction of loads on the supporting elements are obtained. On the example of a pipeline with a flowing fluid, it is shown that the use of dimensionally stable multilayer pipes makes it possible to eliminate bending deformations and significantly reduce the level of working forces and stresses.Dimensionally stable composite multilayer pipes open up new approaches to the design of pipelines and pressure vessels. It is possible to create structures with predetermined (not necessarily zero) displacement fields, consistent with the fields of the initial technological displacements, as well as with the displacements of conjugate elastic elements and equipment when the operating mode changes. The scope of such structures is not limited to "hot" pipes. The results can be used in cryogenic engineerin
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