Research Article
Nonlinear Vibration of a Functionally Graded Nanobeam Based on the Nonlocal Strain Gradient Theory considering Thickness Effect
Table 4
The first nondimensional natural frequencies of FG nanobeams for
and
.
| | L/h | k | without thickness effect | with thickness effect |
| | 5 | 0 | 5.3953 | 5.4756 | | 0.5 | 4.5932 | 4.6699 | | 1 | 4.1485 | 4.2217 | | 2 | 3.7796 | 3.8454 | | 5 | 3.5952 | 3.6473 | | 10 | 3.4923 | 3.5372 |
| | 20 | 0 | 5.4777 | 6.6029 | | 0.5 | 4.6641 | 5.7853 | | 1 | 4.2163 | 5.2825 | | 2 | 3.8472 | 4.8088 | | 5 | 3.6628 | 4.4361 | | 10 | 3.5547 | 4.2262 |
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