An Algorithm for the Solution of the Inverse Problem of the Theory of Shells

Гук, Н. А.; Ободан, Н. І.

doi:10.1007/s10958-014-1783-5

Cited by 2 publications

(6 citation statements)

References 4 publications

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“…But the proposed approach should be used to solve problems that make sense to break down into simpler components and find effective solutions. At each step, it is possible to improve and adapt the proposed approach, which will allow finding new ways to solve the problem [19].…”

Section: Discussion Of Results Of Developing a Generalized Algorithm ...mentioning

confidence: 99%

“…The method of solving inverse problems was proposed by the authors of [19], in which the problem of shell theory in the variational statement was considered. This method was developed in [20], in which the authors solved the contact problem as an inverse one.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…Since quite often in the case of solving practical problems, the geometric characteristics of stamps are not available for direct study, the evaluation of these parameters can be carried out in various ways [19,20,[23][24][25][26][27][28]. In this study, a knowledge base was built, which included information on the geometric characteristics and properties of the materials of stamps and half-space, information on the stressedstrained state of the punch-elastic half-space system.…”

Section: Building a Generalizing Algorithmmentioning

confidence: 99%

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Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Zaytseva,

Zhushman

2024

EEJET

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The subject of this study is a punch-elastic half-space system under compressive force. The paper solves the problem of determining contact stresses and displacements. The content of results is the constructed models and the assessment of their adequacy. This work considers the problem of pressing a rigid plane double-connected punch on a homogeneous and isotropic elastic half-space. To obtain an analytical solution, a variant of the perturbation method based on the expansion of the potential of a simple layer distributed over a double-connected region by a small parameter was applied. The problem of pressing a flat punch in the form of a non-circular ring is reduced to a sequence of problems for a punch in the form of a circular ring. This allows us to use a known solution for a circular ring. Finite element models were built using ANSYS. A group of models was constructed to take into account possible damage in the event that the punch-elastic half-space system is exposed to difficult natural conditions or an aggressive environment during a certain time of modeling. A database was formed for the purpose of further transferring it to CLIPS. Sets of rules and knowledge were compiled. A generalizing algorithm was developed for the problems of constructing and analyzing mathematical and computer models of contact interaction between a rigid cylindrical punch with a flat double-connected base with an elastic half-space under the action of a compressive force. The problem of determining the geometric shape of the cross-section of an annular punch in the plan for the punch-elastic half-space system was solved for the case when the contact zone is not known in advance. The devised approach could be employed in engineering calculations for strength and durability

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Section: Discussion Of Results Of Developing a Generalized Algorithm ...mentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Building a Generalizing Algorithmmentioning

confidence: 99%

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Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Zaytseva,

Zhushman

2024

EEJET

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“…Обернені контактні задачі передбачають визначення форми об'єкта, параметрів контакту та взаємодії на основі доступних вимірювань та спостережень. Ця область досліджень стає все більш вагомою для вирішення практичних завдань та оптимізації процесів, що має суттєвий вплив на науковий та промисловий прогрес [1,2].…”

Section: інтелектуальні системи для розв'язання обернених контактних ...unclassified

“…Тому за -звичай розв'язання контактних задач у складних постановках відбувається чисельними методами, і, насамперед, методом скінчених елементів [4], що є достатньо ефективно, але може бути дуже витратно з точки зору обчислювал ьних ресурсів. Продовжується розробка альтернативних шляхів розв'язання, які дозволяють спростити моделювання та покращити ефективність роз-рахунків [1,2,5].…”

Section: інтелектуальні системи для розв'язання обернених контактних ...unclassified

Інтелектуальні Системи Для Розв’язання Обернених Контактних Задач

Zhushman

2023

APAIT

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An Algorithm for the Solution of the Inverse Problem of the Theory of Shells

Cited by 2 publications

References 4 publications

Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Construction of mathematical and computer models for calculating contact characteristics of interaction between a rigid punch and an elastic half-space

Інтелектуальні Системи Для Розв’язання Обернених Контактних Задач

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