A variational formulation and analysis of polar orthotropic circular plates using an energy principle, part I: Thin plates

This paper concerns the bending analysis of an axisymmetric polar orthotropic thin circular plate (solid or annular) subjected to thermal or mechanical loading. Direct variational methods such as the Rayleigh-Ritz, the Galerkin, the Kantorovich and the Treftz have usually been employed to solve plate problems. In this study, the variational (energy) principle is used to derive the governing differential equations and the boundary conditions of the plate by using the rules of the calculus of variations. The set of differential equations derived from the variational process are solved simultaneously. The accuracy of the present formulation is demonstrated by the problems for which exact solutions are available, and the problems whose isotropic solutions are available while polar orthotropic solutions are not available. It is shown that the principle is useful to get solutions easily compared with the direct variational methods. © Freund Publishing House Ltd.

Dergi Adı Science and Engineering of Composite Materials
Dergi Cilt Bilgisi 14
Dergi Sayısı 4
Sayfalar 317 - 328
Yayın Yılı 2007
Eser Adı
[dc.title]
A variational formulation and analysis of polar orthotropic circular plates using an energy principle, part I: Thin plates
Yazar
[dc.contributor.author]
Ozer H.
Yayın Yılı
[dc.date.issued]
2007
Yayın Türü
[dc.type]
article
Özet
[dc.description.abstract]
This paper concerns the bending analysis of an axisymmetric polar orthotropic thin circular plate (solid or annular) subjected to thermal or mechanical loading. Direct variational methods such as the Rayleigh-Ritz, the Galerkin, the Kantorovich and the Treftz have usually been employed to solve plate problems. In this study, the variational (energy) principle is used to derive the governing differential equations and the boundary conditions of the plate by using the rules of the calculus of variations. The set of differential equations derived from the variational process are solved simultaneously. The accuracy of the present formulation is demonstrated by the problems for which exact solutions are available, and the problems whose isotropic solutions are available while polar orthotropic solutions are not available. It is shown that the principle is useful to get solutions easily compared with the direct variational methods. © Freund Publishing House Ltd.
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Konu Başlıkları
[dc.subject]
Calculus of variation
Konu Başlıkları
[dc.subject]
Circular plates
Konu Başlıkları
[dc.subject]
Polar orthotropy
Haklar
[dc.rights]
info:eu-repo/semantics/closedAccess
ISSN
[dc.identifier.issn]
0334181X
İlk Sayfa Sayısı
[dc.identifier.startpage]
317
Son Sayfa Sayısı
[dc.identifier.endpage]
328
Dergi Adı
[dc.relation.journal]
Science and Engineering of Composite Materials
Dergi Sayısı
[dc.identifier.issue]
4
Dergi Cilt Bilgisi
[dc.identifier.volume]
14
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/4094
Görüntülenme Sayısı ( Şehir )
Görüntülenme Sayısı ( Ülke )
Görüntülenme Sayısı ( Zaman Dağılımı )
Görüntülenme
78
09.12.2022 tarihinden bu yana
İndirme
1
09.12.2022 tarihinden bu yana
Son Erişim Tarihi
05 Haziran 2024 15:37
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Tıklayınız
solutions variational available problems differential methods principle equations orthotropic derived solved accuracy present process formulation demonstrated simultaneously compared Publishing Freund direct easily useful variations isotropic derive calculus annular) Direct loading mechanical thermal subjected (solid Rayleigh-Ritz
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