Research Article
Free Vibration Analysis of Arbitrary-Shaped Plates Based on the Improved Rayleigh–Ritz Method
Table 11
Natural frequencies of the elliptical thin plate under the clamped boundary condition (Hz).
| Mode | Clamped | Present | FEM | Error (%) |
| 1 | 34.123 | 34.153 | 0.08 | 2 | 49.200 | 49.292 | 0.18 | 3 | 69.721 | 69.893 | 0.24 | 4 | 87.090 | 87.359 | 0.30 | 5 | 95.895 | 96.228 | 0.34 | 6 | 109.697 | 110.09 | 0.35 | 7 | 127.815 | 128.47 | 0.51 | 8 | 136.944 | 137.5 | 0.40 | 9 | 164.982 | 166.37 | 0.83 | 10 | 165.533 | 166.64 | 0.66 |
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