International Scholarly Research Notices

Research Article

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

Table 6

Variation of natural frequencies (Hz) against circumferential wave number 𝑛 of an empty FG cylindrical shells on elastic foundation. ( 𝐺 = 1 . 5 × 1 0 7 , 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 I1151.25144.86149.02147.95146.89145.87145.23145.05
2304.47291.63300.00297.84295.73293.66292.38292.02
3457.28438.00450.57447.33444.15441.04439.14438.58
4609.94584.23600.99596.67592.43588.29585.74585.01
5762.56730.43751.38745.97740.68735.50732.32731.40
Type II1151.25144.86146.89147.95149.02150.12150.82151.03
2304.47291.63295.73297.84300.00302.21303.62304.03
3457.28438.00444.15447.33450.57453.89455.99456.61
4609.94584.23592.44596.67600.99605.42608.23609.05
5762.56730.43740.69745.98751.39756.91760.43761.46