Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported
Based on the strain assumption and linear mixing rate of Vogit, the physical property parameter expression of functionally graded material plates is obtained. According to the theory of small deformation and Hamilton principle, the dynamic buckling governing equation of functionally graded material...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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EDP Sciences
2018-01-01
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| Series: | E3S Web of Conferences |
| Online Access: | https://doi.org/10.1051/e3sconf/20183802013 |
| _version_ | 1818413599920488448 |
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| author | Xin Wang Jun Han Zhi Li Wu Ya |
| author_facet | Xin Wang Jun Han Zhi Li Wu Ya |
| author_sort | Xin Wang |
| collection | DOAJ |
| description | Based on the strain assumption and linear mixing rate of Vogit, the physical property parameter expression of functionally graded material plates is obtained. According to the theory of small deformation and Hamilton principle, the dynamic buckling governing equation of functionally graded material plates under longitudinal load is obtained. Using the method of trial function, the analytical expression of critical load and the buckling solution of the functionally graded material plate under conditions of one edge fixed and three edges simply supported is obtained. The analytical expression of critical load is numerically calculated by METLAB. The influence of geometric size, gradient index, modal order and material composition on critical load is discussed. The results show that the critical buckling load decreases exponentially with the increase of critical length, decreases with the increase of gradient index k, increases with the increase of modal order, and the elastic modulus of constituent materials has significant effect on the critical load. The higher-order buckling modes of functionally graded material plates are prone to occur under the condition of high longitudinal load. |
| first_indexed | 2024-12-14T11:05:46Z |
| format | Article |
| id | doaj.art-312147f3a84c4382b10cdea9b46f12ad |
| institution | Directory Open Access Journal |
| issn | 2267-1242 |
| language | English |
| last_indexed | 2024-12-14T11:05:46Z |
| publishDate | 2018-01-01 |
| publisher | EDP Sciences |
| record_format | Article |
| series | E3S Web of Conferences |
| spelling | doaj.art-312147f3a84c4382b10cdea9b46f12ad2022-12-21T23:04:30ZengEDP SciencesE3S Web of Conferences2267-12422018-01-01380201310.1051/e3sconf/20183802013e3sconf_icemee2018_02013Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supportedXin WangJun Han ZhiLi Wu YaBased on the strain assumption and linear mixing rate of Vogit, the physical property parameter expression of functionally graded material plates is obtained. According to the theory of small deformation and Hamilton principle, the dynamic buckling governing equation of functionally graded material plates under longitudinal load is obtained. Using the method of trial function, the analytical expression of critical load and the buckling solution of the functionally graded material plate under conditions of one edge fixed and three edges simply supported is obtained. The analytical expression of critical load is numerically calculated by METLAB. The influence of geometric size, gradient index, modal order and material composition on critical load is discussed. The results show that the critical buckling load decreases exponentially with the increase of critical length, decreases with the increase of gradient index k, increases with the increase of modal order, and the elastic modulus of constituent materials has significant effect on the critical load. The higher-order buckling modes of functionally graded material plates are prone to occur under the condition of high longitudinal load.https://doi.org/10.1051/e3sconf/20183802013 |
| spellingShingle | Xin Wang Jun Han Zhi Li Wu Ya Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported E3S Web of Conferences |
| title | Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| title_full | Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| title_fullStr | Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| title_full_unstemmed | Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| title_short | Research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| title_sort | research on the dynamic buckling of functionally graded material plates under conditions of one edge fixed and three edges simply supported |
| url | https://doi.org/10.1051/e3sconf/20183802013 |
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