Research Article
Comparison Study on the Exact Dynamic Stiffness Method for Free Vibration of Thin and Moderately Thick Circular Cylindrical Shells
Table 4
Lowest natural frequencies (
) of a moderately thick circular cylindrical shell with different circumferential wave numbers
.
| | ā | | | | | | | | | | |
| 2 | Present | 0.03724 | 0.02349 | 0.02449 | 0.03664 | 0.05632 | 0.03893 | 0.04939 | 0.07726 | Reference [31] | 0.03730 | 0.02359 | 0.02462 | 0.03686 | 0.05652 | 0.03929 | 0.04996 | 0.07821 | Reference [32] | 0.03730 | 0.02365 | 0.02470 | 0.03687 | 0.05653 | 0.03944 | 0.05009 | 0.07833 |
| 1 | Present | 0.05861 | 0.04969 | 0.04765 | 0.05508 | 0.09420 | 0.08501 | 0.08995 | 0.11056 | Reference [31] | 0.05853 | 0.04978 | 0.04789 | 0.05545 | 0.09402 | 0.08545 | 0.09093 | 0.11205 | Reference [32] | 0.05856 | 0.04986 | 0.04799 | 0.05550 | 0.09409 | 0.08562 | 0.09109 | 0.11202 |
| 0.5 | Present | 0.10087 | 0.10238 | 0.10658 | 0.11463 | 0.18915 | 0.19406 | 0.20451 | 0.22180 | Reference [31] | 0.10057 | 0.10234 | 0.10688 | 0.11528 | 0.18894 | 0.19467 | 0.20616 | 0.22450 | Reference [32] | 0.10047 | 0.10224 | 0.10674 | 0.11508 | 0.18832 | 0.19403 | 0.20544 | 0.22361 |
| 0.25 | Present | 0.27310 | 0.27650 | 0.28219 | 0.29020 | 0.49751 | 0.50299 | 0.51216 | 0.52506 | Reference [31] | 0.27491 | 0.27849 | 0.28447 | 0.29287 | 0.50338 | 0.50937 | 0.51934 | 0.53325 | Reference [32] | 0.27286 | 0.27641 | 0.28233 | 0.29064 | 0.49818 | 0.50418 | 0.51416 | 0.52808 |
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