O'BOY, D.J. and KRYLOV, V.V., 2016. Vibration of a rectangular plate with a central power-law profiled groove by the Rayleigh-Ritz method. Applied Acoustics, 104, pp.24-32
The prediction of natural frequencies of rectangular plates where a profiled indentation is present is made using a Rayleigh-Ritz variational energy method. Panels with holes are often found for access cables and access gaps, and it is shown that the application of damping to the profile leads to a more efficient method of reducing vibration than covering a whole rectangular plate, which is advantageous where weight saving is necessary.
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The research reported here has been supported by the United Kingdom Engineering and Physical Sciences Research Council (EPSRC) [Grant number EP/F009232/1].