Research Article
Wave-Based Method for Free Vibration Analysis of Orthotropic Cylindrical Shells with Arbitrary Boundary Conditions
Table 4
The natural frequencies for the orthotropic circular cylindrical shell under elastic boundary conditions and their combinations.
| n | m | Boundary conditions | EBC1-EBC1 | EBC2-EBC2 | EBC3-EBC3 | EBC1-EBC3 | EBC2-EBC3 | EBC1-EBC2 |
| 1 | 1 | 121.211 | 122.513 | 122.741 | 121.859 | 122.627 | 120.6801 | 2 | 225.634 | 225.269 | 225.618 | 225.626 | 225.444 | 223.8509 | 3 | 295.019 | 294.726 | 294.998 | 295.008 | 294.862 | 293.584 | 4 | 332.953 | 332.765 | 332.924 | 332.939 | 332.845 | 332.059 |
| 2 | 1 | 72.788 | 76.340 | 76.442 | 74.491 | 76.391 | 73.89489 | 2 | 146.075 | 146.074 | 146.289 | 146.194 | 146.182 | 145.0127 | 3 | 208.553 | 208.389 | 208.619 | 208.581 | 208.504 | 207.2762 | 4 | 255.979 | 255.727 | 255.920 | 255.950 | 255.823 | 254.7795 |
| 3 | 1 | 48.121 | 52.807 | 52.844 | 50.435 | 52.826 | 50.16391 | 2 | 102.408 | 103.281 | 103.387 | 102.929 | 103.334 | 102.2252 | 3 | 154.456 | 154.656 | 154.785 | 154.613 | 154.720 | 153.7046 | 4 | 199.167 | 199.040 | 199.161 | 199.166 | 199.100 | 198.2201 |
| 4 | 1 | 36.929 | 41.458 | 41.463 | 39.174 | 41.460 | 39.06892 | 2 | 77.503 | 79.304 | 79.336 | 78.464 | 79.320 | 78.08885 | 3 | 120.575 | 121.249 | 121.294 | 120.930 | 121.271 | 120.3684 | 4 | 160.463 | 160.585 | 160.623 | 160.546 | 160.604 | 159.9009 |
| 5 | 1 | 36.110 | 39.413 | 39.407 | 37.717 | 39.410 | 37.6851 | 2 | 64.670 | 66.982 | 66.973 | 65.868 | 66.978 | 65.69338 | 3 | 99.855 | 100.974 | 100.959 | 100.409 | 100.967 | 100.0973 | 4 | 134.854 | 135.270 | 135.241 | 135.051 | 135.256 | 134.6571 |
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