Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 5
First six frequency parameters
for an open cylindrical shell subjected to various classical-elastic combined boundary conditions.
| Modes | E1-F-E1-F | E2-S-E2-S | E3-C-E3-C | Ref. [37] | Present | Error (%) | Ref. [37] | Present | Error (%) | Ref. [37] | Present | Error (%) |
| 1 | 38.0712 | 38.1628 | 0.24050 | 128.550 | 128.4335 | 0.09062 | 156.917 | 156.882 | 0.02209 | 2 | 51.5365 | 51.6942 | 0.30606 | 181.842 | 181.8735 | 0.01733 | 214.063 | 214.044 | 0.00899 | 3 | 87.8899 | 87.7157 | 0.19816 | 206.415 | 206.1768 | 0.11538 | 222.556 | 222.437 | 0.05370 | 4 | 92.1902 | 92.3438 | 0.16660 | 228.360 | 228.2684 | 0.04011 | 248.105 | 247.994 | 0.04464 | 5 | 99.7832 | 99.9866 | 0.20384 | 279.383 | 279.053 | 0.11811 | 291.150 | 290.934 | 0.07431 | 6 | 143.176 | 143.098 | 0.05421 | 289.155 | 288.959 | 0.06778 | 294.611 | 294.394 | 0.07367 |
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