Research Article
Generalized Differential Quadrature Method for Free Vibration Analysis of a Rotating Composite Thin-Walled Shaft
Table 3
The first three natural frequencies of the shaft for different boundary conditions and ply angles (
= 800rpm).
| Boundary conditions | Ply angle θ° | Frequency ω [Hz] | 1B | 1F | 2B | 2F | 3B | 3F |
| C-C | 0° | 89.5956 | 116.5424 | 250.1030 | 277.5957 | 462.3860 | 490.3354 | 30° | 109.5489 | 136.5861 | 325.5890 | 353.6101 | 653.8300 | 683.2888 | 60° | 275.9256 | 302.8678 | 724.3444 | 751.8162 | 1314.0023 | 1341.9065 | 75° | 356.2460 | 382.9658 | 765.3613 | 792.1977 | 1233.6654 | 1260.4888 | S-S | 0° | 60.1498 | 87.1267 | 211.7786 | 239.3596 | 423.3616 | 451.4875 | 30° | 71.8321 | 98.8569 | 263.8645 | 291.8418 | 569.8837 | 599.3474 | 60° | 193.2056 | 220.5798 | 618.5663 | 646.1292 | 1207.7548 | 1235.8342 | 75° | 288.0808 | 314.8729 | 730.6617 | 757.5166 | 1214.6430 | 1241.4759 | C-F | 0° | 4.0188 | 30.8277 | 91.7179 | 119.2882 | 266.1023 | 294.4848 | 30° | 6.1303 | 32.9436 | 109.4554 | 137.1525 | 334.9323 | 364.0539 | 60° | 35.6337 | 62.4424 | 282.7588 | 310.3222 | 771.1312 | 799.4811 | 75° | 75.0446 | 101.8206 | 402.6232 | 429.7342 | 895.0152 | 922.1036 |
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