Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 16
First four frequencies for a clamped elastically supported shell (
).
| Boundary conditions | Ref. [11] | Present | 1 | 2 | 3 | 4 | 1 | 2 | 3 | 4 |
| 0 | 131.99 | 249.82 | 262.81 | 377.00 | 131.57 | 249.36 | 262.91 | 376.55 | 0.01 | 183.01 | 278.17 | 279.76 | 404.12 | 183.11 | 278.17 | 280.00 | 404.23 | 0.1 | 298.01 | 310.07 | 364.98 | 490.35 | 299.10 | 310.28 | 366.51 | 490.41 | | 315.07 | 339.86 | 473.26 | 491.64 | 315.65 | 341.04 | 478.35 | 491.70 | 106 | 315.15 | 343.43 | 491.36 | 501.06 | 316.26 | 346.25 | 491.84 | 508.34 | 108 | 315.15 | 343.43 | 491.36 | 501.08 | 316.25 | 346.23 | 491.84 | 508.25 |
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