Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading
This study addresses a comprehensive procedure for the buckling behavior of rectangular plates with rotationally restrained edges. They are subjected to uniaxial in-plane load that varies linearly from compression to bending. The load is applied to opposite edges with variable boundary conditions, r...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-03-01
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| Series: | Results in Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123024000355 |
| _version_ | 1827310636457000960 |
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| author | Alireza Jahanpour |
| author_facet | Alireza Jahanpour |
| author_sort | Alireza Jahanpour |
| collection | DOAJ |
| description | This study addresses a comprehensive procedure for the buckling behavior of rectangular plates with rotationally restrained edges. They are subjected to uniaxial in-plane load that varies linearly from compression to bending. The load is applied to opposite edges with variable boundary conditions, ranging from simply supported to clamped. The other edges can also be free, guided, or between them. For the first time, the generalized integral transform technique (GITT) is applied to the buckling equation of such a plate. The integral kernel perfectly satisfies the plate boundary conditions and its constituent terms are limited to the approximate range of ±1 which prevents the numerical instability. The transformed equation is a set of linear algebraic equations which establish an eigenvalue problem. The plate buckling coefficient, and corresponding mode shape (contours of the buckled plate, the number of half-waves in each direction, etc.) are presented according to variations of the edge relative stiffness as well as the plate aspect ratio, the loading shape, and Poisson's ratio. The latter parameter has a significant effect on the buckling behavior when at least one of the edges is free, guided, or between them. This portion is developed for auxetic materials (negative Poisson's ratios), and it was concluded that the minimum buckling load mostly occurs as the Poisson's ratio tends to zero. |
| first_indexed | 2024-03-08T13:01:03Z |
| format | Article |
| id | doaj.art-3139c536ac3843bdb27bcfc5bfe95cd0 |
| institution | Directory Open Access Journal |
| issn | 2590-1230 |
| language | English |
| last_indexed | 2024-04-24T20:03:15Z |
| publishDate | 2024-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Engineering |
| spelling | doaj.art-3139c536ac3843bdb27bcfc5bfe95cd02024-03-24T07:00:38ZengElsevierResults in Engineering2590-12302024-03-0121101782Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loadingAlireza Jahanpour0Department of Civil Engineering, Malayer University, Malayer, IranThis study addresses a comprehensive procedure for the buckling behavior of rectangular plates with rotationally restrained edges. They are subjected to uniaxial in-plane load that varies linearly from compression to bending. The load is applied to opposite edges with variable boundary conditions, ranging from simply supported to clamped. The other edges can also be free, guided, or between them. For the first time, the generalized integral transform technique (GITT) is applied to the buckling equation of such a plate. The integral kernel perfectly satisfies the plate boundary conditions and its constituent terms are limited to the approximate range of ±1 which prevents the numerical instability. The transformed equation is a set of linear algebraic equations which establish an eigenvalue problem. The plate buckling coefficient, and corresponding mode shape (contours of the buckled plate, the number of half-waves in each direction, etc.) are presented according to variations of the edge relative stiffness as well as the plate aspect ratio, the loading shape, and Poisson's ratio. The latter parameter has a significant effect on the buckling behavior when at least one of the edges is free, guided, or between them. This portion is developed for auxetic materials (negative Poisson's ratios), and it was concluded that the minimum buckling load mostly occurs as the Poisson's ratio tends to zero.http://www.sciencedirect.com/science/article/pii/S2590123024000355Rectangular platesRotationally restrained edgesLinearly varying in-plane loadingGeneralized integral transform technique (GITT)Buckling coefficient and mode shapeAuxetic materials |
| spellingShingle | Alireza Jahanpour Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading Results in Engineering Rectangular plates Rotationally restrained edges Linearly varying in-plane loading Generalized integral transform technique (GITT) Buckling coefficient and mode shape Auxetic materials |
| title | Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading |
| title_full | Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading |
| title_fullStr | Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading |
| title_full_unstemmed | Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading |
| title_short | Buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in-plane loading |
| title_sort | buckling analysis of rectangular plates with rotationally restrained edges subjected to linearly varying in plane loading |
| topic | Rectangular plates Rotationally restrained edges Linearly varying in-plane loading Generalized integral transform technique (GITT) Buckling coefficient and mode shape Auxetic materials |
| url | http://www.sciencedirect.com/science/article/pii/S2590123024000355 |
| work_keys_str_mv | AT alirezajahanpour bucklinganalysisofrectangularplateswithrotationallyrestrainededgessubjectedtolinearlyvaryinginplaneloading |