Research Article

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

Figure 3

(a) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shells with 𝐿 / 𝑅 ratio on elastic foundations for 𝑚 = 1 , 𝑛 = 4 , / 𝑅 = 0 . 0 0 1 , 𝐾 = 1 . 5 𝑒 + 7 , 𝐺 = 1 . 5 𝑒 + 7 . (b) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shells with 𝐿 / 𝑅 ratio on elastic foundations for 𝑚 = 1 , 𝑛 = 4 , / 𝑅 = 0 . 0 0 1 , 𝐾 = 1 . 5 𝑒 + 7 , 𝐺 = 2 . 5 𝑒 + 7 . (c) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shells with 𝐿 / 𝑅 ratio on elastic foundations for 𝑚 = 1 , 𝑛 = 4 , / 𝑅 = 0 . 0 0 1 , 𝐾 = 1 . 5 𝑒 + 7 , 𝐺 = 3 . 5 𝑒 + 7 . (d) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shells with 𝐿 / 𝑅 ratio on elastic foundations for 𝑚 = 1 , 𝑛 = 4 , / 𝑅 = 0 . 0 0 1 , 𝐾 = 1 . 5 𝑒 + 7 , 𝐺 = 4 . 5 𝑒 + 7 .
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