The free flexural vibrations of open and closed rectangular boxes are considered; a theoretical solution using a sine series is presented. Natural frequencies and nodal patterns obtained using this analysis are compared with experimental results and the practical usefulness of the analysis is assessed. Although the assumed mathematical models are not true representations of the practical systems, the agreement achieved between theoretical and experimental results is shown to be good.
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References
1.
HenshellR. D.BennetP. J.MccallionH.MilnerM.‘Natural frequencies and mode shapes of vibration of transformer cores’, Proc. Instn elec. Engrs1965112, 2133.
2.
BolotinV. V.‘An asymptotic method for the study of the problem of eigenvalues for rectangular regions’, Problems of continuum mechanics1961, 56 (SIAM).
3.
DickinsonS. M.WarburtonG. B.‘Natural frequencies of plate systems using the edge effect method’, Jl mech. Engng Sci.19679 (No. 4), 318.
4.
ConwayH. D.FarnhamK. A.‘The free flexural vibrations of triangular, rhombic and parallelogram plates and some analogies’, Int. J. mech. Sci.19657, 811.
5.
DillE. H.PisterK. S.‘Vibration of rectangular plates and plate systems’, Proc. 3rd Nat. Congr. appl. Mech. 1958, 123 (Ab. Soc. Mech. Engrs).
6.
MoneyH. A.‘Pressurized flush cylinder-cylinder intersections. A survey of experiments’, C.E.G.B. Research Note RD/B/M.727.
