International Scholarly Research Notices

Research Article

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

Table 5

Variation of natural frequencies (Hz) against circumferential wave number 𝑛 of an empty FG cylindrical shell on elastic foundation. ( 𝐺 = 1 . 5 × 1 0 7 , 𝐾 = 0 ) 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 I1108.52103.94106.93106.16105.41104.67104.21104.08
2272.69261.20268.69266.76264.87263.01261.87261.55
3433.95415.66427.58424.51421.49418.55416.73416.21
4591.79566.85583.11578.92574.81570.79568.32567.61
5747.79716.28736.83731.52726.34721.25718.13717.24
Type II1108.52103.94105.40106.16106.93107.72108.20108.36
2272.69261.20264.87266.76268.69270.67271.93272.30
3433.95415.66421.49424.51427.59430.73432.73433.32
4591.79566.85574.81578.92583.12587.41590.13590.93
5747.79716.28726.34731.53736.83742.25745.70746.71