A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method
Vibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees of freedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analy...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2012-09-01
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| Series: | International Journal of Naval Architecture and Ocean Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S209267821630351X |
| _version_ | 1819059273707028480 |
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| author | Ivo Senjanović Nikola Vladimir Dae-Seung Cho |
| author_facet | Ivo Senjanović Nikola Vladimir Dae-Seung Cho |
| author_sort | Ivo Senjanović |
| collection | DOAJ |
| description | Vibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees of freedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analysed with consistent geometric stiffness matrix or geometric stiffness matrix with lumped buckling load, related only to the rotational d.o.f. Recently, the simplified mass matrix is constructed employing shape functions of in-plane displacements for plate deflection. In this paper the same approach is used for construction of simplified geometric stiffness matrix. Beam element, and triangular and rectangular plate element are considered. Application of the new geometric stiffness is illustrated in the case of simply supported beam and square plate. The same problems are solved with consistent and lumped geometric stiffness matrix, and the obtained results are compared with the analytical solution. Also, a combination of simplified and lumped geometric stiffness matrix is analysed in order to increase accuracy of stability analysis. |
| first_indexed | 2024-12-21T14:08:29Z |
| format | Article |
| id | doaj.art-5f032a7a617e4580a5363fc175b2df57 |
| institution | Directory Open Access Journal |
| issn | 2092-6782 |
| language | English |
| last_indexed | 2024-12-21T14:08:29Z |
| publishDate | 2012-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | International Journal of Naval Architecture and Ocean Engineering |
| spelling | doaj.art-5f032a7a617e4580a5363fc175b2df572022-12-21T19:01:07ZengElsevierInternational Journal of Naval Architecture and Ocean Engineering2092-67822012-09-014331332110.2478/IJNAOE-2013-0099A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element methodIvo Senjanović0Nikola Vladimir1Dae-Seung Cho2University of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CroatiaUniversity of Zagreb, Faculty of Mechanical Engineering and Naval Architecture, Zagreb, CroatiaDept. of Naval Architecture and Ocean Engineering, Pusan National University, Busan, KoreaVibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees of freedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analysed with consistent geometric stiffness matrix or geometric stiffness matrix with lumped buckling load, related only to the rotational d.o.f. Recently, the simplified mass matrix is constructed employing shape functions of in-plane displacements for plate deflection. In this paper the same approach is used for construction of simplified geometric stiffness matrix. Beam element, and triangular and rectangular plate element are considered. Application of the new geometric stiffness is illustrated in the case of simply supported beam and square plate. The same problems are solved with consistent and lumped geometric stiffness matrix, and the obtained results are compared with the analytical solution. Also, a combination of simplified and lumped geometric stiffness matrix is analysed in order to increase accuracy of stability analysis.http://www.sciencedirect.com/science/article/pii/S209267821630351XThin-walled structureStability analysisSimplified geometric stiffness |
| spellingShingle | Ivo Senjanović Nikola Vladimir Dae-Seung Cho A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method International Journal of Naval Architecture and Ocean Engineering Thin-walled structure Stability analysis Simplified geometric stiffness |
| title | A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method |
| title_full | A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method |
| title_fullStr | A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method |
| title_full_unstemmed | A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method |
| title_short | A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method |
| title_sort | simplified geometric stiffness in stability analysis of thin walled structures by the finite element method |
| topic | Thin-walled structure Stability analysis Simplified geometric stiffness |
| url | http://www.sciencedirect.com/science/article/pii/S209267821630351X |
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