Research Article
Free Vibration Analysis of Circular Cylindrical Shells with Arbitrary Boundary Conditions by the Method of Reverberation-Ray Matrix
Table 2
Comparison of the frequency parameter
for a circular cylindrical shell with some classical boundary conditions (
= 1 m,
,
,
= 1).
| | SS-SS | CE-SS | CE-CE | Reference [7] | Reference [28] | Reference [13] | Present | Reference [7] | Reference [28] | Reference [13] | Present | Reference [7] | Reference [28] | Reference [13] | Present |
| 1 | 0.016101 | 0.016103 | 0.016101 | 0.016101 | 0.023974 | 0.024065 | 0.024721 | 0.023930 | 0.032885 | 0.033176 | 0.034879 | 0.032792 | 2 | 0.009382 | 0.009388 | 0.009382 | 0.009382 | 0.011225 | 0.011238 | 0.011281 | 0.011215 | 0.013932 | 0.013970 | 0.014052 | 0.013902 | 3 | 0.022105 | 0.022108 | 0.022105 | 0.022105 | 0.022310 | 0.022314 | 0.022335 | 0.022309 | 0.022672 | 0.022677 | 0.022725 | 0.022667 | 4 | 0.042095 | 0.042097 | 0.042095 | 0.042095 | 0.042139 | 0.042141 | 0.042166 | 0.042139 | 0.042208 | 0.042210 | 0.042271 | 0.042208 | 5 | 0.068008 | 0.068008 | 0.068008 | 0.068008 | 0.068024 | 0.068026 | 0.068054 | 0.068025 | 0.068046 | 0.068048 | 0.068116 | 0.068046 | 6 | 0.099730 | 0.099730 | 0.099731 | 0.099731 | 0.099738 | 0.099739 | 0.099771 | 0.099739 | 0.099748 | 0.099749 | 0.099823 | 0.099749 | 7 | 0.137239 | 0.137239 | 0.137240 | 0.137240 | 0.137244 | 0.137244 | 0.137279 | 0.137245 | 0.137249 | 0.137250 | 0.137328 | 0.137251 | 8 | 0.180527 | 0.180528 | 0.180527 | 0.180530 | 0.180531 | 0.180531 | 0.180569 | 0.180533 | 0.180535 | 0.180535 | 0.180617 | 0.180536 | 9 | 0.229594 | 0.229594 | 0.229596 | 0.229596 | 0.229596 | 0.229596 | 0.229636 | 0.229599 | 0.229599 | 0.229600 | 0.229684 | 0.229601 | 10 | 0.284435 | 0.284436 | 0.284438 | 0.284439 | 0.284437 | 0.284438 | 0.284478 | 0.284440 | 0.284439 | 0.284441 | 0.284526 | 0.284442 |
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