International Scholarly Research Notices

Research Article

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

Table 7

Variation of natural frequencies (Hz) against circumferential wave number 𝑛 of fluid-filled FG cylindrical shell on elastic foundation. ( 𝐺 = 0 , 𝐾 = 1 . 5 × 1 0 7 ) Types I & II ( 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 I119.24419.21719.23419.23019.22619.22119.21919.218
226.98726.94126.97226.96426.95726.94926.94426.943
332.86332.78832.83732.82532.81332.80032.79232.790
437.72237.61337.68537.66737.64937.63137.62037.616
541.95441.80641.90341.87941.85541.72141.81541.811
Type II119.24419.21719.22619.23119.23519.24019.24319.244
226.98726.94126.95726.96526.97226.98026.98526.986
332.86332.78832.81332.82532.83832.85032.85832.860
437.72237.61337.64937.66737.68637.70437.71537.719
541.95441.80641.85641.88041.90541.92941.94541.949