Research Article
A Unified Spectro-Geometric-Ritz Method for Vibration Analysis of Open and Closed Shells with Arbitrary Boundary Conditions
Table 22
First several frequency parameters
for a closed spherical shell with various elastic restraints (
).
| BC | | 0 | 1 | 2 | 3 | 4 | 5 | 6 |
7 |
| C-E1 | 1.18313 | 1.01569 | 0.95880 | 0.97538 | 1.03337 | 1.12647 | 1.25696 | 1.42669 | C-E2 | 0.98843 | 0.96798 | 0.93672 | 0.96724 | 1.03005 | 1.12504 | 1.25641 | 1.42658 | C-E3 | 0.98274 | 1.01433 | 0.97125 | 0.98774 | 1.04461 | 1.13571 | 1.26302 | 1.42817 | E1-E1 | 0.95591 | 1.02259 | 0.96528 | 0.97748 | 1.03389 | 1.12657 | 1.25698 | 1.42669 | E2-E2 | 0.98843 | 0.90082 | 0.86780 | 0.93593 | 1.02066 | 1.12285 | 1.25598 | 1.42651 | E3-E3 | 0.97787 | 1.00847 | 0.97081 | 0.98792 | 1.04458 | 1.13558 | 1.26293 | 1.42814 |
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