The application of variational methods to some static contact problems for pliant shells of rotation
We propose a method for finding the finite deformations of hyperelastic domal shells of rotation due to hydrostatic load. The problem is considered under the condition that the deformed surface of the shell enters the domain of perfect contact with coaxial rigid surface. The efficiency of the sugges...
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| Date: | 1999 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
1999
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| Series: | Нелінійні коливання |
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| Cite this: | The application of variational methods to some static contact problems for pliant shells of rotation / V.A. Trotsenko // Нелінійні коливання. — 1999. — Т. 2, № 4. — С. 559-573. — Бібліогр.: 6 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
oai:nasplib.isofts.kiev.ua:123456789-177273 |
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oai:nasplib.isofts.kiev.ua:123456789-1772732025-02-23T17:30:50Z The application of variational methods to some static contact problems for pliant shells of rotation Застосування варіаційних методів в деяких контактних задачах статики м'яких оболонок обертання Применение вариационных методов в некоторых контактных задачах статики мягких оболочек вращения Trotsenko, V. A. We propose a method for finding the finite deformations of hyperelastic domal shells of rotation due to hydrostatic load. The problem is considered under the condition that the deformed surface of the shell enters the domain of perfect contact with coaxial rigid surface. The efficiency of the suggested approach is assured by taking into account the singular properties of solutions on the line of transition of shell surface from free domain to the contact one and their asymptotic behavior in vicinity of the shell pole. For a set of examples, which illustate the advantages of the algorithm, we present the basic dependences describing stressly-deformed state of a shell. На основi варiацiйного методу пропонується розв’язок задачi про скiнченнi деформацiї гiперпружних оболонок обертання пiд дiєю гiдростатичного навантаження за умови, що деформована поверхня оболонки вступає в зону iдеального контакту iз спiввiсно розмiщеною жорсткою поверхнею обертання. Ефективнiсть запропонованого пiдходу зумовлена врахуванням властивостей шуканих розв’язкiв на лiнiї переходу поверхнi оболонки вiд вiльної зони до контактної та асимптотичної поведiнки їх в околi полюса оболонки. На конкретних прикладах проiлюстровано можливостi запропонованого алгоритму. The author is grateful to DFG for partial support. 1999 Article The application of variational methods to some static contact problems for pliant shells of rotation / V.A. Trotsenko // Нелінійні коливання. — 1999. — Т. 2, № 4. — С. 559-573. — Бібліогр.: 6 назв. — англ. 1562-3076 https://nasplib.isofts.kiev.ua/handle/123456789/177273 539.3 en Нелінійні коливання application/pdf Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We propose a method for finding the finite deformations of hyperelastic domal shells of rotation due to hydrostatic load. The problem is considered under the condition that the deformed surface of the shell enters the domain of perfect contact with coaxial rigid surface. The efficiency of the suggested approach is assured by taking into account the singular properties of solutions on the line of transition of shell surface from free domain to the contact one and their asymptotic behavior in vicinity of the shell pole.
For a set of examples, which illustate the advantages of the algorithm, we present the basic dependences describing stressly-deformed state of a shell. |
| format |
Article |
| author |
Trotsenko, V. A. |
| spellingShingle |
Trotsenko, V. A. The application of variational methods to some static contact problems for pliant shells of rotation Нелінійні коливання |
| author_facet |
Trotsenko, V. A. |
| author_sort |
Trotsenko, V. A. |
| title |
The application of variational methods to some static contact problems for pliant shells of rotation |
| title_short |
The application of variational methods to some static contact problems for pliant shells of rotation |
| title_full |
The application of variational methods to some static contact problems for pliant shells of rotation |
| title_fullStr |
The application of variational methods to some static contact problems for pliant shells of rotation |
| title_full_unstemmed |
The application of variational methods to some static contact problems for pliant shells of rotation |
| title_sort |
application of variational methods to some static contact problems for pliant shells of rotation |
| publisher |
Інститут математики НАН України |
| publishDate |
1999 |
| citation_txt |
The application of variational methods to some static contact problems for pliant shells of rotation / V.A. Trotsenko // Нелінійні коливання. — 1999. — Т. 2, № 4. — С. 559-573. — Бібліогр.: 6 назв. — англ. |
| series |
Нелінійні коливання |
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2025-07-22T04:21:18Z |
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2025-07-22T04:21:18Z |
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