Research Article
Three-Dimensional Elasticity Solutions for Sound Radiation of Functionally Graded Materials Plates considering State Space Method
Table 2
The first 10 structural frequencies of the FGM plate with thickness
m: comparison between the present work and Chandra et al. [
22].
| | Mode number (, ) | Method | Power-law index | | 0 | 1 | 5 |
| | 1 (1, 1) | Present work | 1438.8 | 1100.2 | 943.0 | | Chandra | 1437.9 | 1099.4 | 945.3 |
| | 2 (2, 1) | Present work | 3068.5 | 2350.9 | 2002.9 | | Chandra | 3064.4 | 2347.3 | 2012.1 |
| | 3 (1, 2) | Present work | 3961.2 | 3037.9 | 2580.0 | | Chandra | 3954.5 | 3032.0 | 2594.8 |
| | 4 (2, 2) | Present work | 5508.9 | 4232.2 | 3575.9 | | Chandra | 5496.2 | 4220.9 | 3602.5 |
| | 5 (3, 1) | Present work | 5667.3 | 4354.7 | 3677.5 | | Chandra | 5654.0 | 4342.7 | 3705.5 |
| | 6 (1, 3) | Present work | 7895.6 | 6081.4 | 5099.7 | | Chandra | 7870.2 | 6058.4 | 5150.8 |
| | 7 (3, 2) | Present work | 7986.3 | 6151.9 | 5157.4 | | Chandra | 7960.4 | 6128.4 | 5209.6 |
| | 8 (4, 1) | Present work | 9092.9 | 7012.4 | 5859.6 | | Chandra | 9059.7 | 6982.1 | 5925.2 |
| | 9 (2, 3) | Present work | 9329.1 | 7196.3 | 6009.1 | | Chandra | 9294.3 | 7164.4 | 6077.7 |
| | 10 (4, 2) | Present work | 11267.3 | 8708.2 | 7232.4 | | Chandra | 11217.4 | 8662.2 | 7327.6 |
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