International Scholarly Research Notices

Research Article

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

Table 9

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 = 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 I127.23527.20127.22427.21827.21327.20727.20327.202
260.28660.19960.25760.24360.22860.21460.20560.202
3103.62103.41103.55103.51103.48103.45103.42103.42
4154.83154.44154.70154.63154.57154.50154.46154.45
5212.49211.83212.27212.16212.05211.94211.87211.85
Type II127.23527.20127.21327.21827.22427.23027.23327.234
260.28660.19960.22960.24360.25760.27260.28160.283
3103.62103.41103.48103.52103.55103.58103.60103.61
4154.83154.44154.57154.64154.70154.76154.80154.82
5212.49211.83212.06212.17212.27212.38212.45212.47