Research Article
Three-Dimensional Vibration Analysis of Isotropic and Orthotropic Open Shells and Plates with Arbitrary Boundary Conditions
Table 4
Comparison of frequency parameters
of a thick open cylindrical shell with different boundary conditions (
m,
,
,
,
GPa, and
).
| | Boundary conditions | Theory | Mode Number | | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| | CFFF | 3-D [23] | 0.4427 | 0.6683 | 0.7822 | 1.5918 | 1.6516 | 1.7726 | 2.1988 | 2.2401 | — | — | | FEM [23] | 0.4411 | 0.6656 | 0.7794 | 1.5858 | 1.6452 | 1.7660 | 2.1902 | 2.2317 | — | — | | Present | 0.4431 | 0.6686 | 0.7825 | 1.5916 | 1.6531 | 1.7724 | 2.1998 | 2.2399 | 2.7542 | 3.0345 |
| | SSSS | 3D [23] | 1.8361 | 1.9278 | 1.9483 | 2.7626 | 3.4121 | 3.4650 | 3.8276 | 3.8967 | 4.3067 | 4.3069 | | FEM [23] | 1.8320 | — | — | 2.7565 | 3.4045 | 3.4573 | 3.8191 | 3.8880 | 4.2964 | 4.2971 | | Present | 1.8355 | 1.9268 | 1.9473 | 2.7625 | 3.4113 | 3.4637 | 3.8257 | 3.8946 | 4.3049 | 4.3057 |
| | CCCC | 3D [23] | 2.3448 | 3.4994 | 3.6541 | 3.7476 | 3.7862 | 4.3711 | 4.7706 | 5.2640 | 5.3601 | 5.3900 | | FEM [23] | 2.3350 | 3.4864 | 3.6405 | 3.7335 | 3.7723 | 4.3548 | 4.7528 | 5.2443 | 5.3402 | 5.3699 | | Present | 2.3507 | 3.5063 | 3.6605 | 3.7500 | 3.7895 | 4.3705 | 4.7782 | 5.2736 | 5.3667 | 5.3992 |
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