Modified single variable shear deformation plate theory for free vibration analysis of rectangular FGM plates
| Autor: | Do Van Thom, Pham Van Vinh, Nguyen Thai Dung, Le Kha Hoa, Nguyen Chi Tho |
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| Rok vydání: | 2021 |
| Předmět: |
Single variable
Materials science Computation 0211 other engineering and technologies 020101 civil engineering 02 engineering and technology Building and Construction Mechanics Equilibrium equation Governing equation 0201 civil engineering Physics::Fluid Dynamics Vibration Shear (geology) 021105 building & construction Architecture Solid mechanics Plate theory Safety Risk Reliability and Quality Civil and Structural Engineering |
| Zdroj: | Structures. 29:1435-1444 |
| ISSN: | 2352-0124 |
| Popis: | In this paper, a modified single variable shear deformation plate theory is developed for free vibration analysis of rectangular functionally graded plates. By using the equilibrium equations of forces, the relationship between bending and shear parts is established, so that the displacement fields and the governing equation of the modified single variable plate theory contain only one unknown variable. As a consequence, the number of unknown variables is reduced, so it is effective for computation of solid mechanics. The advantage of proposed theory is that it consists of only one unknown variable but it is capable for analysis of heterogeneous plate such as functionally graded plates. The numerical results of the free vibration of functionally graded plates are carried out and compared with other published data to ensure the accurateness and effectiveness of this modification. The paper also explores the impact of some parameters on the free vibration of the functionally graded plates. |
| Databáze: | OpenAIRE |
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