Research Article
Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations
Table 11
Variations of natural frequencies (Hz) of SS-SS cylindrical shell for different values of
G, where
N·m,
,
,
,
.
| Shell type | | | | | |
| Type 1 | 1 | 6527.31 | 6528.00 | 6528.86 | 6529.95 | 2 | 6690.30 | 6691.12 | 6692.14 | 6693.43 | 3 | 6953.44 | 6954.45 | 6955.71 | 6957.31 | 4 | 7305.79 | 7307.05 | 7308.60 | 7310.57 | 5 | 7734.99 | 7736.49 | 7738.35 | 7740.71 | 6 | 8228.81 | 8230.54 | 8232.68 | 8235.40 |
| Type 2 | 1 | 6542.66 | 6543.38 | 6544.27 | 6545.40 | 2 | 6706.04 | 6706.88 | 6707.93 | 6709.26 | 3 | 6969.79 | 6970.83 | 6972.12 | 6973.75 | 4 | 7322.95 | 7324.23 | 7325.81 | 7327.82 | 5 | 7753.13 | 7754.66 | 7756.54 | 7758.93 | 6 | 8248.07 | 8249.82 | 8251.99 | 8254.73 |
| Type 3 | 1 | 6580.75 | 6581.15 | 6581.61 | 6582.14 | 2 | 6745.0 | 6745.51 | 6746.07 | 6746.70 | 3 | 7010.27 | 7010.87 | 7011.56 | 7012.37 | 4 | 7365.46 | 7366.21 | 7367.08 | 7368.09 | 5 | 7798.15 | 7799.06 | 7800.11 | 7801.32 | 6 | 8296.01 | 8297.07 | 8298.29 | 8299.70 |
| Type 4 | 1 | 6591.61 | 6592.02 | 6592.50 | 6593.05 | 2 | 6756.17 | 6756.66 | 6757.22 | 6757.88 | 3 | 7021.84 | 7022.45 | 7023.16 | 7023.98 | 4 | 7377.61 | 7378.38 | 7379.26 | 7380.28 | 5 | 7811.00 | 7811.92 | 7812.98 | 7814.21 | 6 | 8309.66 | 8310.73 | 8311.96 | 8313.38 |
|
|