Natural Frequencies of Uniform and Non-Uniform Rectangular Cantilever Plates
- 1 June 1963
- journal article
- research article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 5 (2) , 146-156
- https://doi.org/10.1243/jmes_jour_1963_005_020_02
Abstract
Various methods of calculating the natural frequencies of flat rectangular cantilever plates are discussed, and it is shown both analytically and experimentally that relatively simple expressions based on technical beam theory give good results even for high order modes. Experimental results indicate that the mode shapes of plates of non-uniform thickness have modes so complex that a great many terms should be used in any vibration analysis, whether finite difference or Rayleigh-Ritz.Keywords
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