Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 9
First six frequency parameters
for an open conical shell subjected to various classical-elastic combined boundary conditions.
| Modes | E1-F-E1-F | E2-F-E2-F | E3-F-E3-F | Ref. [37] | Present | Error (%) | Ref. [37] | Present | Error (%) | Ref. [37] | Present | Error (%) |
| 1 | 56.9432 | 56.8022 | 0.24763 | 68.0095 | 67.9740 | 0.05226 | 68.3529 | 68.3048 | 0.07040 | 2 | 57.1139 | 56.9227 | 0.33470 | 69.3596 | 69.3364 | 0.03347 | 69.9152 | 69.8886 | 0.03800 | 3 | 118.408 | 118.226 | 0.15366 | 130.858 | 130.957 | 0.07561 | 131.411 | 131.269 | 0.10843 | 4 | 125.462 | 124.511 | 0.75773 | 131.270 | 131.359 | 0.06747 | 131.693 | 131.559 | 0.10175 | 5 | 137.038 | 136.743 | 0.21519 | 158.506 | 158.160 | 0.21803 | 164.337 | 164.089 | 0.15109 | 6 | 153.413 | 152.120 | 0.84285 | 178.341 | 177.884 | 0.25638 | 181.088 | 180.727 | 0.19913 |
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