Research Article
Nonlinear Vibration of a Functionally Graded Nanobeam Based on the Nonlocal Strain Gradient Theory considering Thickness Effect
Table 5
The first nondimensional natural frequencies of FG nanobeams for
and
.
| | L/h | k | without thickness effect | with thickness effect |
| | 5 | 0 | 5.3821 | 5.6947 | | 0.5 | 4.5820 | 4.8798 | | 1 | 4.1383 | 4.4224 | | 2 | 3.7703 | 4.0259 | | 5 | 3.5864 | 3.7893 | | 10 | 3.4838 | 3.6590 |
| | 20 | 0 | 5.4643 | 9.3254 | | 0.5 | 4.6527 | 8.2550 | | 1 | 4.2060 | 7.6079 | | 2 | 3.8378 | 6.9110 | | 5 | 3.6539 | 6.1810 | | 10 | 3.5459 | 5.7716 |
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