THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS
The main subjects of the article are theoretical strength and buckling analyses of a sinusoidal velaroidal shell subjected to its self-weight and uniformly distributed load in geometric nonlinearity. A short history of finite element applications to shell buckling is given. The finite element method...
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| Format: | Article |
| Language: | English |
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Peoples’ Friendship University of Russia (RUDN University)
2017-09-01
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| Series: | Structural Mechanics of Engineering Constructions and Buildings |
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| Online Access: | http://journals.rudn.ru/structural-mechanics/article/view/15081 |
| _version_ | 1818128048756621312 |
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| author | Светлана Львовна Шамбина |
| author_facet | Светлана Львовна Шамбина |
| author_sort | Светлана Львовна Шамбина |
| collection | DOAJ |
| description | The main subjects of the article are theoretical strength and buckling analyses of a sinusoidal velaroidal shell subjected to its self-weight and uniformly distributed load in geometric nonlinearity. A short history of finite element applications to shell buckling is given. The finite element method is used in its matrix formulation. The elastic stiffness matrixes in the local coordinate system of the membrane element are defined in their general form. The out-of-plane geometric stiffness matrix for the plate along the same lines is derived. |
| first_indexed | 2024-12-11T07:27:04Z |
| format | Article |
| id | doaj.art-b47d19c3961a4dbba29d7c7eaf8464d4 |
| institution | Directory Open Access Journal |
| issn | 1815-5235 2587-8700 |
| language | English |
| last_indexed | 2024-12-11T07:27:04Z |
| publishDate | 2017-09-01 |
| publisher | Peoples’ Friendship University of Russia (RUDN University) |
| record_format | Article |
| series | Structural Mechanics of Engineering Constructions and Buildings |
| spelling | doaj.art-b47d19c3961a4dbba29d7c7eaf8464d42022-12-22T01:15:57ZengPeoples’ Friendship University of Russia (RUDN University)Structural Mechanics of Engineering Constructions and Buildings1815-52352587-87002017-09-010315561THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLSСветлана Львовна Шамбина0Российский университет дружбы народовThe main subjects of the article are theoretical strength and buckling analyses of a sinusoidal velaroidal shell subjected to its self-weight and uniformly distributed load in geometric nonlinearity. A short history of finite element applications to shell buckling is given. The finite element method is used in its matrix formulation. The elastic stiffness matrixes in the local coordinate system of the membrane element are defined in their general form. The out-of-plane geometric stiffness matrix for the plate along the same lines is derived.http://journals.rudn.ru/structural-mechanics/article/view/15081sinusoidal velaroidal surfacesnonlinear buckling analysislinear elastic stiffness matricesnormal stiffnessgeometric stiffness matrixchain rule differentiation |
| spellingShingle | Светлана Львовна Шамбина THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS Structural Mechanics of Engineering Constructions and Buildings sinusoidal velaroidal surfaces nonlinear buckling analysis linear elastic stiffness matrices normal stiffness geometric stiffness matrix chain rule differentiation |
| title | THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS |
| title_full | THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS |
| title_fullStr | THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS |
| title_full_unstemmed | THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS |
| title_short | THEORETICAL APPROACH FOR THE GEOMETRICALLY NONLINEAR BUCKLING ANALYSIS OF SINUSOIDAL VELAROIDAL SHELLS |
| title_sort | theoretical approach for the geometrically nonlinear buckling analysis of sinusoidal velaroidal shells |
| topic | sinusoidal velaroidal surfaces nonlinear buckling analysis linear elastic stiffness matrices normal stiffness geometric stiffness matrix chain rule differentiation |
| url | http://journals.rudn.ru/structural-mechanics/article/view/15081 |
| work_keys_str_mv | AT svetlanalʹvovnašambina theoreticalapproachforthegeometricallynonlinearbucklinganalysisofsinusoidalvelaroidalshells |