Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 15
Comparison of the natural frequencies for a circular cylindrical shell with C-F and C-C boundary conditions.
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Mode orders | C-F | C-C | | | FEM [11] | Ref. [11] | Present | FEM [11] | Ref. [11] | Present |
| | 1 | 0 | 1614.9 | 1615.2 | 1615.2 | 3229.8 | 3230.3 | 3230.4 | | 1 | 467.58 | 467.34 | 468.10 | 1882.8 | 1880.9 | 1883.5 | | 2 | 315.33 | 316.02 | 315.30 | 899.59 | 898.18 | 900.78 | | 3 | 768.38 | 768.45 | 768.00 | 896.97 | 896.56 | 897.71 | | 4 | 1463.3 | 1462.8 | 1462.5 | 1501.9 | 1501.6 | 1502.0 | | 5 | 2363.1 | 2362.2 | 2362.3 | 2386.1 | 2386.0 | 2386.3 |
| | 2 | 0 | 2583.1 | 2581.7 | 2583.8 | 5146.0 | 5139.8 | 5147.8 | | 1 | 2044.0 | 2043.3 | 2045.1 | 3850.7 | 3848.9 | 3851.5 | | 2 | 936.02 | 936.25 | 937.22 | 2017.8 | 2014.1 | 2019.9 | | 3 | 914.16 | 915.13 | 914.71 | 1390.9 | 1388.9 | 1393.5 | | 4 | 1518.7 | 1519.0 | 1518.6 | 1676.4 | 1676.0 | 1678.0 | | 5 | 2401.9 | 2401.8 | 2401.8 | 2472.5 | 2472.6 | 2474.0 |
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