Research Article
Fundamental Frequency Analysis of Sandwich Beams with Functionally Graded Face and Metallic Foam Core
Table 1
The first four frequencies
(rad/s) with increasing
Ns (comparison between the present result and that of ABAQUS).
| | Ns | th natural frequency (rad/s) | | | | |
| | 2 | 2416.0 (3.46%) | 6050.6 (20.12%) | — | — | | 3 | 2389.5 (2.33%) | 5248.6 (4.20%) | 9200.2 (12.20%) | — | | 4 | 2371.8 (1.57%) | 5185.0 (2.94%) | 8471.7 (3.32%) | 12544.5 (8.64%) | | 5 | 2358.4 (0.99%) | 5152.6 (2.29%) | 8403.1 (2.48%) | 11832.7 (2.47%) | | 6 | 2354.7 (0.84%) | 5119.5 (1.64%) | 8365.6 (2.02%) | 11773.4 (1.96%) | | 7 | 2348.5 (0.57%) | 5110.7 (1.46%) | 8328.5 (1.57%) | 11732.7 (1.61%) | | 8 | 2347.0 (0.51%) | 5094.2 (1.13%) | 8316.4 (1.42%) | 11700.2 (1.33%) | | 9 | 2343.9 (0.37%) | 5090.0 (1.05%) | 8297.1 (1.19%) | 11685.6 (1.20%) | | By ABAQUS | 2335.2 | 5037.1 | 8199.7 | 11547.0 |
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Note. Relative error, ([prediction by the present model] − [result by ABAQUS])/[result by ABAQUS] × 100%.
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