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Improved natural frequencies for plates with a free edge
Authors:W T Koiter and A M A van der Heijden
Institution:(1) Laboratory of Applied Mechanics, Technological University, Delft, The Netherlands
Abstract:A simple correction formula is developed for the square of natural frequencies of plates with a free edge. The theory is applied to torsional vibrations of a long plate strip and to vibrations of a circular plate with a free edge and a number of nodal diameters. The paper concludes with the remark that the theory may be extended mutatis mutandis to vibrations of shells with a free edge.
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