A theoretical and an experimental investigation was made on the vibration of three machined circular cylindrical shells under external water pressure. The theoretical investigation was based on the finite element method, where the shell was modelled by a truncated thin-walled conical shell element and the surrounding fluid by an annular element which had a cross-section in the form of an eight-node isoparametric quadrilateral.
Comparison between theory and experiment was good and showed that the resonant frequencies decreased with an increase in the externally applied water pressure.
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References
1.
RossC. T. F.Finite element methods in engineering science, 1990 (Horwood).
2.
RossC. T. F.Pressure vessels under external pressure, 1990 (Elsevier).
3.
RossC. T. F.EmileJohnsT.Vibration of thin-walled domes under external water pressure. J. Sound Vibr., 1987, 114, 453–463.
4.
RossC. T. F.JohnsT.Vibration and buckling of thin-walled domes under external water pressure. J. Ship Res., June 1990, 34(2), 142–148.
5.
RossC. T. F.JohnsT.Dynamic buckling of thin-walled domes under external water pressure. Res. Mec., 1989, 28, 113–137.
6.
RossC. T. F.JohnsT.EmileDynamic buckling of thin-walled domes under external water pressure, Applied Mechanics 2, 1988, pp. 211–224 (Elsevier Applied Science).
7.
CalladineC. R.Theory of shell structures, 1988 (Cambridge University Press).
8.
ThompsonJ. M. T.HuntG. W.Elastic instability phenomena, 1984 (John Wiley).
9.
ThompsonJ. M. T.Stability of elastic structures and their loading devices. J. Mech. Engng Sci., 1961, 3(2), 153–162.
10.
Von MisesR.Der Kritische aussendruck für Allseits Belastate Zylindrische Rohre. Fest Zum 70. Geburstag von Prof Dr A. Stodala, Zurich, 1929, pp. 418–430 (also USEMB translation report 366, 1936).
11.
RossC. T. F.Lobar buckling of thin-walled cylindrical and truncated conical shells under external pressure. J. Ship Res., 1974, 18, 833–845.
12.
RossC. T. F.Finite elements for the vibration of cones and cylinders. UNME, 1975, 9, 833–845.
13.
PortK. F.RossC. T. F.Free vibration of submerged thin-walled domes. Conference on Recent advances in structure dynamics, University of Southampton, 1980.
14.
PetytF. M.LimS. P.Finite element analysis of the noise inside a mechanically excited cylinder. IJNME, 1978, 13, 109–122.
15.
ZienkiewiczO. C.NewtonR. E.Coupled vibration of a structure submerged in a compressible fluid. International Symposium on Finite element techniques, University of Stuttgart, 1969.
16.
RossC. T. F.Applied stress analysis, 1987 (Horwood).
17.
IronsB. M.Role of part-inversion in fluid structure problems with mixed variables. JAIAA, 1970, 7, 568.
18.
JenningsA.Matrix computation for engineering and scientists, 1977 (Wiley).
