Research Article
Analytical Solution for the Free Vibration Analysis of Delaminated Timoshenko Beams
Table 1
Nondimensional fundamental frequency (
) of an I:C-F beam with a midplane delamination.
| | |
Analytical [1] | | | 10 | 25 | 50 | 100 | 200 | 250 | 300 |
| | 0.1 | 0.2 | 3.5126 | 2.8338 | 2.8542 | 2.8541 | 2.9968 | 3.1531 | 3.3015 | 3.4118 | | 0.4 | 3.5128 | 3.1922 | 3.2163 | 3.2308 | 3.2749 | 3.3769 | 3.4964 | 3.5101 | | 0.6 | 3.5137 | 3.4169 | 3.4425 | 3.4491 | 3.4602 | 3.4861 | 3.5013 | 3.5107 | | 0.8 | 3.5148 | 3.4818 | 3.5078 | 3.5118 | 3.5122 | 3.5122 | 3.5122 | 3.5122 |
| | 0.3 | 0.2 | 3.438 | 2.4421 | 2.4816 | 2.5701 | 2.8298 | 3.2839 | 3.4212 | 3.4311 | | 0.4 | 3.459 | 3.0117 | 3.0513 | 3.1040 | 3.2377 | 3.4170 | 3.4453 | 3.4472 | | 0.6 | 3.489 | 3.3842 | 3.4198 | 3.4324 | 3.4561 | 3.4825 | 3.4850 | 3.4851 |
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