Research Article
Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations
Table 12
Variations of natural frequencies (Hz) of SS-SS cylindrical shell for different values of
K, where
N·m,
,
,
,
.
| Shell type | | | | | |
| Type 1 | 1 | 6527.31 | 6527.33 | 6527.33 | 6527.35 | 2 | 6690.30 | 6690.32 | 6690.33 | 6690.34 | 3 | 6953.44 | 6953.45 | 6953.47 | 6953.48 | 4 | 7305.79 | 7305.81 | 7305.82 | 7305.84 | 5 | 7734.99 | 7735.01 | 7735.02 | 7735.04 | 6 | 8228.81 | 8228.82 | 8228.84 | 8228.86 |
| Type 2 | 1 | 6542.66 | 6542.67 | 6542.68 | 6542.69 | 2 | 6706.04 | 6706.05 | 6706.06 | 6706.07 | 3 | 6969.79 | 6969.80 | 6969.814 | 6969.83 | 4 | 7322.95 | 7322.97 | 7322.98 | 7323.00 | 5 | 7753.13 | 7753.15 | 7753.16 | 7753.18 | 6 | 8248.07 | 8248.09 | 8248.12 | 8248.12 |
| Type 3 | 1 | 6580.75 | 6580.75 | 6580.76 | 6580.77 | 2 | 6745.0 | 6745.04 | 6745.04 | 6745.05 | 3 | 7010.27 | 7010.27 | 7010.28 | 7011.0 | 4 | 7365.46 | 7365.47 | 7365.48 | 7365.49 | 5 | 7798.15 | 7798.16 | 7798.17 | 7798.18 | 6 | 8296.01 | 8296.02 | 8296.03 | 8296.04 |
| Type 4 | 1 | 6591.61 | 6591.62 | 6591.63 | 6591.63 | 2 | 6756.17 | 6756.17 | 6756.18 | 6756.19 | 3 | 7021.84 | 7021.85 | 7021.87 | 7021.87 | 4 | 7377.61 | 7377.62 | 7377.63 | 7377.64 | 5 | 7811.00 | 7811.01 | 7811.02 | 7811.03 | 6 | 8309.66 | 8309.67 | 8309.68 | 8309.69 |
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