International Scholarly Research Notices

Research Article

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

Table 8

Variation of natural frequencies (Hz) against circumferential wave number 𝑛 of fluid-filled FG cylindrical shell on elastic foundation. ( 𝐺 = 1 . 5 × 1 0 7 , 𝐾 = 0 ) Types I ( 𝑚 = 1 , ℎ / 𝑅 = 0 . 0 0 2 , 𝐿 / 𝑅 = 2 0 ).
Shell 𝑛 𝑁 𝑆 𝑆 = 0 𝑁 𝑁 = 0 𝑁 = 0 . 5 𝑁 = 1 𝑁 = 2 𝑁 = 5 𝑁 = 1 5 𝑁 = 3 0
Type I119.47619.44819.46719.46219.45819.45419.45119.450
253.99653.91553.96953.95653.94253.92953.92053.918
398.35698.16198.29298.26098.22798.19498.17398.168
4150.25149.87150.12150.06150.00149.93149.89149.88
5208.41207.76208.19208.08207.98207.87207.80207.78
Type II119.47619.44819.45819.46219.46719.47119.47419.745
253.99653.91553.94253.95653.96953.98353.99153.994
398.35698.16198.22798.25998.29298.32498.34498.350
4150.25149.87150.00150.06150.13150.19150.23150.24
5208.41207.76207.98208.08208.19208.30208.37208.39