Research Article
Free Vibration Analysis of a Rotating Composite Shaft Using the -Version of the Finite Element Method
Table 4
The critical speed (rpm) of the
graphite-epoxy composite shaft for various lengths to mean diameter ratio.
| |
Theory or method | | | 2 | 5 | 10 | 15 | 20 | 25 | 30 | 35 |
| | Sanders shell | 112400 | 41680 | 16450 | 8585 | 5183 | 3441 | 2440 | 1816 | | Bert and Kim [22] | Bernoulli-Euler
| 329600
| 76820
| 20210
| 9072
| 5121
| 3283
| 2282
| 1677
| | Bresse-Timoshenko | 176300 | 54830 | 17880 | 8543 | 4945 | 3209 | 2246 | 1658 |
| |
M.-Y. Chang et al. [6] | Continuum-based
Timoshenko | 181996 | 55706 | 17929 | 8527 | 4925 | 3192 | 2233 | 1648 | | beam theory
|
| | Present | Timoshenko beam theory by | 184667 | 56196 | 18005 | 8549 | 4934 | 3198 | 2236 | 1650 | | the -version of the finite
| | element method |
|
|
