Research Article
Vibration Characteristics of Ring-Stiffened Functionally Graded Circular Cylindrical Shells
(a) Comparison of natural frequencies (Hz) for type I FG cylindrical shell with simply-supported boundary conditions. (, , ) |
| | Naeem et al. [19] | Present | | | | | | |
| 1 | 13.321 | 13.211 | 12.933 | 13.321 | 13.211 | 12.932 | 2 | 4.5162 | 4.4794 | 4.3829 | 4.5164 | 4.4796 | 4.3830 | 3 | 4.1903 | 4.1562 | 4.0646 | 4.1909 | 4.1564 | 4.0641 | 4 | 7.0967 | 7.0379 | 6.8851 | 7.0976 | 7.0381 | 6.8836 | 5 | 11.335 | 11.241 | 10.998 | 11.336 | 11.241 | 10.996 | 6 | 16.594 | 16.455 | 16.101 | 16.595 | 16.455 | 16.097 | 7 | 22.826 | 22.635 | 22.148 | 22.828 | 22.635 | 22.143 | 8 | 30.023 | 29.771 | 29.132 | 30.025 | 29.771 | 29.125 | 9 | 38.181 | 37.862 | 37.048 | 38.185 | 37.862 | 37.039 | 10 | 47.301 | 46.905 | 45.897 | 47.305 | 46.905 | 45.886 |
|
|
(b) Comparison of natural frequencies (Hz) for type II FG cylindrical shell with simply-supported boundary conditions. (, , ) |
| | Naeem et al. [19] | Present | | | | | | |
| 1 | 13.103 | 13.211 | 13.505 | 13.103 | 13.211 | 13.505 | 2 | 4.4382 | 4.4742 | 4.5759 | 4.4378 | 4.4739 | 4.5757 | 3 | 4.1152 | 4.1486 | 4.2451 | 4.1144 | 4.1481 | 4.2454 | 4 | 6.9754 | 7.0330 | 7.1943 | 6.9744 | 7.0327 | 7.1956 | 5 | 11.145 | 11.238 | 11.494 | 11.143 | 11.237 | 11.496 | 6 | 16.317 | 16.453 | 16.453 | 16.315 | 16.452 | 16.830 | 7 | 22.447 | 22.633 | 23.147 | 22.444 | 22.633 | 23.152 | 8 | 29.524 | 29.770 | 30.446 | 29.521 | 29.770 | 30.453 | 9 | 37.548 | 37.861 | 38.720 | 37.544 | 37.861 | 38.729 | 10 | 46.517 | 46.904 | 47.968 | 46.511 | 46.904 | 47.979 |
|
|