Dynamic analysis of multi-directional functionally graded annular plates |
| |
Authors: | Guojun Nie Zheng Zhong |
| |
Institution: | School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
| |
Abstract: | Dynamic analysis of multi-directional functionally graded annular plates is achieved in this paper using a semi-analytical numerical method entitled the state space-based differential quadrature method. Based on the three-dimensional elastic theory and assuming the material properties having an exponent-law variation along the thickness, radial direction or both directions, the frequency equations of free vibration of multi-directional functionally graded annular plates are derived under various boundary conditions. Numerical examples are presented to validate the approach and the superiority of this method is also demonstrated. Then free vibration of functionally graded annular plates is studied for different variations of material properties along the thickness, radial direction and both directions, respectively. And the influences of the material property graded variations on the dynamic behavior are also investigated. The multi-directional graded material can likely be designed according to the actual requirement and it is a potential alternative to the unidirectional functionally graded material. |
| |
Keywords: | Multi-directional functionally graded materials Annular plates Dynamic analysis Semi-analytical numerical method |
本文献已被 ScienceDirect 等数据库收录! |
|