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| Meshless method for free vibration analysis of stiffened functionally graded plates resting on elastic foundation |
| Received:July 11, 2021 Revised:September 09, 2021 |
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| DOI：10.7511/jslx20210711001 |
| KeyWord:stiffened functionally graded plate meshless method physical neutral surface Winkler elastic foundation free vibration |
| Author | Institution |
| 陈思亚 |
广西大学 土木建筑工程学院, 南宁 |
| 陈卫 |
广西大学 土木建筑工程学院, 南宁 |
| 黄钟民 |
广西大学 土木建筑工程学院, 南宁 |
| 彭林欣 |
广西大学 土木建筑工程学院, 南宁 ;广西大学 广西防灾减灾与工程安全重点实验室 工程防灾与结构安全教育部重点实验室, 南宁 |
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| Abstract: |
| Based on the first-order shear deformation theory (FSDT),the natural frequency of a stiffened functionally graded plate resting on a Winkler foundation is studied by moving-least-squares(MLS) approximation meshless method.It is assumed that the material properties of functionally graded plates change continuously in a power function along the thickness direction.The kinetic energy and potential energy of the functionally graded plate and those of its ribs are derived by the physical neutral surface and moving-least-squares approximation,respectively.The total energy of the plate and those of ribs were superposed by applying the displacement compatibility conditions.Then,the equation governing free vibration of the stiffened functionally graded plate is derived by Hamilton principle.The boundary condition is imposed by full transformation method.The convergence and accuracy of the method are verified by comparing the results of this paper with those of the finite element method (FEM) and the published literature. |