Research Article
Transverse Vibration of Rotating Tapered Cantilever Beam with Hollow Circular Cross-Section
Table 6
The first three-order dimensionless natural frequencies of rotating tapered hollow beams for various ratios of hub radius to beam length
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| 0 | | 4.0021 | 4.0021 | 4.0021 | 4.0743 | 4.0743 | 4.0743 | | 19.1933 | 19.1933 | 19.1933 | 21.1137 | 21.1137 | 21.1137 | | 45.1361 | 45.1361 | 45.1361 | 55.0759 | 55.0759 | 55.0759 |
| 5 | | 6.9391 | 7.9790 | 9.1094 | 7.1163 | 8.1648 | 9.3065 | | 22.2340 | 23.5717 | 25.1345 | 24.6043 | 26.0908 | 27.8311 | | 47.8600 | 49.1793 | 50.7682 | 58.5679 | 60.2042 | 62.1795 |
| 10 | | 11.8553 | 14.1905 | 16.6439 | 12.1676 | 14.5191 | 16.9959 | | 29.4809 | 29.4809 | 37.4245 | 32.8996 | 37.1390 | 41.7938 | | 55.0961 | 59.0961 | 64.2301 | 67.8847 | 73.2615 | 79.3845 |
| 15 | | 17.0078 | 20.6152 | 24.3667 | 17.4498 | 21.0838 | 24.8719 | | 38.5013 | 44.7447 | 51.3531 | 43.2329 | 50.2622 | 57.7703 | | 65.0693 | 72.6549 | 80.8113 | 80.8610 | 90.5387 | 101.1210 |
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