International Scholarly Research Notices

Research Article

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

Figure 4

(a) Variation of natural frequencies (Hz) type I cylindrical shells with 𝐿 / 𝑅 ratio on elstic foundations for 𝑚 = 1 , 𝑛 = 4 , ℎ / 𝑅 = 0 . 0 0 1 , 𝐺 = 1 . 5 𝑒 + 7 , and 𝐾 = 1 . 5 𝑒 + 7 . (b) Variation of natural frequencies (Hz) of type I fluid-filled cylindrical shells with 𝐿 / 𝑅 ratio for 𝑚 = 1 , 𝑛 = 4 , ℎ / 𝑅 = 0 . 0 0 1 , 𝐺 = 1 . 5 𝑒 + 7 , and 𝐾 = 2 . 5 𝑒 + 7 . (c) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shells on elastic foundations for 𝑚 = 1 , 𝑛 = 4 , ℎ / 𝑅 = 0 . 0 0 1 , 𝐺 = 1 . 5 𝑒 + 7 , and 𝐾 = 3 . 5 𝑒 + 7 . (d) Variation of natural frequencies (Hz) of fluid-filled type I cylindrical shell with 𝐿 / 𝑅 ratio on elastic founations for 𝑚 = 1 , 𝑛 = 4 , ℎ / 𝑅 = 0 . 0 0 1 , 𝐺 = 1 . 5 𝑒 + 7 , and 𝐾 = 4 . 5 𝑒 + 7 .
892460.fig.004a
(a)
892460.fig.004b
(b)
892460.fig.004c
(c)
892460.fig.004d
(d)