Research Article
Generalized Differential Quadrature Method for Free Vibration Analysis of a Rotating Composite Thin-Walled Shaft
Table 2
The first natural frequencies of the shaft for different boundary conditions and various rotating speed (
).
| Rotating Speed [rpm] | Frequency ω [Hz] | 1B(C-C) | 1F(C-C) | 1B(S-S) | 1F(S-S) | 1B(C-F) | 1F(C-F) |
| 0 | 289.3935 | 289.3935 | 207.0878 | 207.0878 | 49.0284 | 49.0284 | 100 | 287.7097 | 291.0775 | 205.4020 | 208.7737 | 47.3530 | 50.7041 | 200 | 286.0260 | 292.7615 | 203.7163 | 210.4598 | 45.6779 | 52.3801 | 300 | 284.3423 | 294.4457 | 202.0308 | 212.1461 | 44.0031 | 54.0564 | 400 | 282.6588 | 296.1299 | 200.3455 | 213.8326 | 42.3286 | 55.7330 | 500 | 280.9753 | 297.8142 | 198.6603 | 215.5191 | 40.6544 | 57.4099 | 600 | 279.2920 | 299.4987 | 196.9752 | 217.2059 | 38.9806 | 59.0871 | 700 | 277.6087 | 301.1832 | 195.2904 | 218.8928 | 37.3070 | 60.7646 | 800 | 275.9256 | 302.8678 | 193.6057 | 220.5798 | 35.6337 | 62.4424 | 900 | 274.2425 | 304.5526 | 191.9211 | 222.2670 | 33.9607 | 64.1205 | 1000 | 272.5596 | 306.2374 | 190.2367 | 223.9544 | 32.2881 | 65.7990 |
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