Abstract
A Hamiltonian-based method is introduced to find exact solutions for steady state forced vibration of a fully clamped orthotropic functionally graded (FG) rectangular plate. The proposed method has two major steps. Firstly, the steady state response for an FG rectangular plate with Naiver-type boundary conditions is analytically derived by a wave-based symplectic method. Subsequently, exact solutions of the fully clamped FG rectangular plate are obtained by a symplectic superposition technique. The overall procedure is systematic with a clearly defined, step-by-step derivation. The accuracy of the obtained exact solutions is highlighted in comparison with reference data. Numerical results are presented to reveal the effects of the material properties.
| Original language | English |
|---|---|
| Article number | 012066 |
| Journal | IOP Conference Series: Materials Science and Engineering |
| Volume | 531 |
| Issue number | 1 |
| Online published | 26 Sept 2019 |
| DOIs | |
| Publication status | Published - 2019 |
| Event | 2nd International Conference on Modeling in Mechanics and Materials (CMMM 2019) - Suzhou, China Duration: 29 Mar 2019 → 31 Mar 2019 http://cmmm2019.csp.escience.cn/dct/page/1 |
Publisher's Copyright Statement
- This full text is made available under CC-BY 3.0. https://creativecommons.org/licenses/by/3.0/
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