Research Article
Postbuckling and Free Nonlinear Vibration of Microbeams Based on Nonlinear Elastic Foundation
Table 2
Comparison of the present frequency with the exact frequency of C-C microbeam (
).
| α | l/h | KL | KP | KNL | P | ωexact | ωpresent | R. error (%) |
| 0.1 | 0.25 | 10 | 10 | 10 | 5 | 13.6049 | 13.6046 | 0.0026 | 0.5 | 10 | 10 | 10 | 5 | 16.4131 | 16.4128 | 0.0018 | 0.75 | 10 | 10 | 10 | 5 | 20.2456 | 20.2454 | 0.0012 | 1.0 | 10 | 10 | 10 | 5 | 24.6288 | 24.6286 | 0.0008 |
| 1 | 0.25 | 50 | 50 | 50 | 20 | 22.7555 | 22.7185 | 0.1626 | 0.5 | 50 | 50 | 50 | 20 | 24.5384 | 24.5636 | 0.1418 | 0.75 | 50 | 50 | 50 | 20 | 27.2517 | 27.2198 | 0.1169 | 1.0 | 50 | 50 | 50 | 20 | 30.6492 | 30.6204 | 0.0937 |
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