The paper presents a theoretical and an experimental investigation into the free vibration of three ring-stiffened prolate domes in air and under external water pressure. The theoretical investigation was via the finite element method where a solid fluid mesh was used to model the water surrounding each dome. Good agreement was found between theory and experiment. Both the theory and the experiment found that, as the external water pressure was increased, the resonant frequencies decreased.
ZienkiewiczO. C.TaylorR. L.The Finite Element Method, Vols 1, 2 and 3, 5th edition, 2000 (Butterworth-Heinemann, Oxford).
2.
ZienkiewiczO. C.NewtonR. E.Coupled vibrations of a structure submerged in a compressible fluid. In Proceedings of the International Symposium on Finite Element Techniques, University of Stuttgart, Germany, 1969.
3.
RossC. T. F.MackneyM. D. A.Deformation and stability studies of thin-walled domes under uniform pressure. J. Strain Analysis, 1983, 18, 167–172.
4.
Anon. Inside the Kursk. Daily Mail, 15 August 2000, 7.
5.
Anon. Inside HMS Triumph. Daily Mail, 1 October 2001, 7.
6.
RossC. T. F.Finite elements for the vibration of cones and cylinders. Int. J. Numer. Meth. Engng, 1975, 9, 833–845.
7.
RossC. T. F.JohnsT.EmileDynamic buckling of thin walled domes under external pressure. In Applied Solid Mechanics (Eds ToothA. S.SpenceJ.), 2nd edition, 1987, pp. 211–224 (Elsevier Applied Science, Barking, Essex).
8.
RossC. T. F.EmileJohnsT.Vibration of thin walled domes under external water pressure. J. Sound Vibr., 1987, 114, 453–463.
9.
RossC. T. F.Pressure Vessels: External Pressure Technology, 2001 (Ellis Horwood, Chichester, West Sussex).
10.
IronsB. M.Role of part-inversion in fluid-structure problems with mixed variables. Am. Inst. Aeronaut. Astronaut. J., 1970, 7, 568.
11.
JenningsA.Matrix Computation for Engineers and Scientists, 1977 (John Wiley, Chichester, West Sussex).
12.
RossC. T. F.Finite Element Programs for Axisymmetric Problems in Engineering, 1984 (Ellis Horwood, Chichester, West Sussex).
