Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation
This paper presents an analytical approach to investigate the nonlinear buckling of imperfect eccentrically stiffened functionally graded thin circular cylindrical shells subjected to axial compression and surrounded by an elastic foundation. Based on the classical thin shell theory with the geomet...
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| Format: | Article |
| Language: | English |
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Publishing House for Science and Technology
2014-02-01
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| Series: | Vietnam Journal of Mechanics |
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| Online Access: | https://vjs.ac.vn/index.php/vjmech/article/view/3470 |
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| author | Vu Hoai Nam Nguyen Thi Phuong Dao Huy Bich Dao Van Dung |
| author_facet | Vu Hoai Nam Nguyen Thi Phuong Dao Huy Bich Dao Van Dung |
| author_sort | Vu Hoai Nam |
| collection | DOAJ |
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This paper presents an analytical approach to investigate the nonlinear buckling of imperfect eccentrically stiffened functionally graded thin circular cylindrical shells subjected to axial compression and surrounded by an elastic foundation. Based on the classical thin shell theory with the geometrical nonlinearity in von Karman-Donnell sense, initial geometrical imperfection, the smeared stiffeners technique and Pasternak’s two-parameter elastic foundation, the governing equations of eccentrically stiffened functionally graded cylindrical shells are derived. The functionally graded cylindrical shells are reinforced by homogeneous ring and stringer stiffener system on internal and (or) external surface. The resulting equations are solved by the Galerkin method to obtain the explicit expression of static critical buckling load, post-buckling load-deflection curve and nonlinear dynamic motion equation. The nonlinear dynamic responses are found by using fourth order Runge-Kutta method. The dynamic critical buckling loads of shells are considered for step loading of infinite duration and linear-time compression. The obtained results show the effects of foundation, stiffeners and input factors on the nonlinear buckling behavior of these structures.
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| format | Article |
| id | doaj-art-8c1e577756af45e2b8d093c94441037d |
| institution | DOAJ |
| issn | 0866-7136 2815-5882 |
| language | English |
| publishDate | 2014-02-01 |
| publisher | Publishing House for Science and Technology |
| record_format | Article |
| series | Vietnam Journal of Mechanics |
| spelling | doaj-art-8c1e577756af45e2b8d093c94441037d2025-08-20T02:55:05ZengPublishing House for Science and TechnologyVietnam Journal of Mechanics0866-71362815-58822014-02-0136110.15625/0866-7136/36/1/3470Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundationVu Hoai Nam0Nguyen Thi Phuong1Dao Huy Bich2Dao Van Dung3University of Transport Technology, Hanoi, VietnamUniversity of Transport Technology, Hanoi, VietnamHanoi University of Science, VNU, VietnamHanoi University of Science, VNU, Vietnam This paper presents an analytical approach to investigate the nonlinear buckling of imperfect eccentrically stiffened functionally graded thin circular cylindrical shells subjected to axial compression and surrounded by an elastic foundation. Based on the classical thin shell theory with the geometrical nonlinearity in von Karman-Donnell sense, initial geometrical imperfection, the smeared stiffeners technique and Pasternak’s two-parameter elastic foundation, the governing equations of eccentrically stiffened functionally graded cylindrical shells are derived. The functionally graded cylindrical shells are reinforced by homogeneous ring and stringer stiffener system on internal and (or) external surface. The resulting equations are solved by the Galerkin method to obtain the explicit expression of static critical buckling load, post-buckling load-deflection curve and nonlinear dynamic motion equation. The nonlinear dynamic responses are found by using fourth order Runge-Kutta method. The dynamic critical buckling loads of shells are considered for step loading of infinite duration and linear-time compression. The obtained results show the effects of foundation, stiffeners and input factors on the nonlinear buckling behavior of these structures. https://vjs.ac.vn/index.php/vjmech/article/view/3470Static and dynamic buckling analysiselastic foundationstiffenerfunctionally graded materialstiffened circular cylindrical shellcritical buckling load |
| spellingShingle | Vu Hoai Nam Nguyen Thi Phuong Dao Huy Bich Dao Van Dung Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation Vietnam Journal of Mechanics Static and dynamic buckling analysis elastic foundation stiffener functionally graded material stiffened circular cylindrical shell critical buckling load |
| title | Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| title_full | Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| title_fullStr | Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| title_full_unstemmed | Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| title_short | Nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| title_sort | nonlinear static and dynamic buckling of eccentrically stiffened functionally graded cylindrical shells under axial compression surrounded by an elastic foundation |
| topic | Static and dynamic buckling analysis elastic foundation stiffener functionally graded material stiffened circular cylindrical shell critical buckling load |
| url | https://vjs.ac.vn/index.php/vjmech/article/view/3470 |
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