Research Article
A Hybrid Finite Element-Fourier Spectral Method for Vibration Analysis of Structures with Elastic Boundary Conditions
Table 3
Comparison of the first ten natural frequencies of the rectangular plate.
| | Mode order | Analytical | FEAa | Hybridb | Difference | | DOF = 2583 | DOF = 1357 | — |
| | 1 | 0.9866 | 0.98624 | 0.9868 | −0.06% | | 2 | 1.5785 | 1.5774 | 1.5796 | −0.14% | | 3 | 2.5651 | 2.5624 | 2.5645 | −0.08% | | 4 | 3.3544 | 3.3522 | 3.354 | −0.05% | | 5 | 3.9463 | 3.9411 | 3.9447 | −0.09% | | 6 | 3.9463 | 3.9411 | 3.9458 | −0.12% | | 7 | 4.9329 | 4.9223 | 4.9275 | −0.11% | | 8 | 5.7221 | 5.7131 | 5.7177 | −0.08% | | 9 | 6.3141 | 6.2958 | 6.3057 | −0.16% | | 10 | 7.3007 | 7.2930 | 7.2989 | −0.08% |
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Note: FEA results are calculated by using ANSYS with 20 × 40 elements.
bResults with = = 12 at the FSM zone and 20 × 20 elements at the FEM zone.
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