Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

Table 10

Variation of natural frequencies (Hz) of a simply supported-simply supported three-layered cylindrical shell on elastic foundations (𝑚=1, 𝑝=1, 𝐿=0.41, 𝑅=0.3015, ℎ=0.001, 𝜈=0.3, 𝐺=1.5×10⁷ N·m, 𝐾=2.5×10⁷ N·m).

𝑛	Type 1	Type 2	Type 3	Type 4
1	8405.31	8395.60	7662.73	7675.80
2	9318.72	9299.60	9044.04	9060.03
3	11100.6	11074.7	11036.5	11055.3
4	13322.2	13290.9	13335.4	13357.7
5	15748.9	15712.0	15802.7	15828.9