Research Article
Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross-Section
Table 4
The first three order dimensionless natural frequencies of rotating circular thin-wall cross-section beams at
, , .
| | Ω | | | | Present | Ref. [29] |
| 0 | | 4.7781 | 4.7771 | 4.7555 | 4.5844 | | 29.9438 | 29.9393 | 28.9935 | 23.6666 | | 83.8339 | 83.8393 | 77.8914 | 54.3817 |
| 5 | | 7.2326 | - | 7.1843 | 6.8112 | | 32.5368 | - | 31.4682 | 25.4442 | | 86.4579 | - | 80.2848 | 55.9058 |
| 10 | | 11.7433 | - | 11.6598 | 10.9967 | | 39.2955 | - | 37.9215 | 30.0678 | | 93.8425 | - | 87.0105 | 60.1779 |
| 15 | | 16.6095 | - | 16.4939 | 15.5592 | | 48.4647 | - | 46.6776 | 36.2668 | | 104.8728 | - | 97.0268 | 66.4979 |
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