Natural Frequencies of Uniform and Non-Uniform Rectangular Cantilever Plates

Author:

Plunkett Robert1

Affiliation:

1. Professor of Mechanics, University of Minnesota, Minneapolis, U.S.A.

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.

Publisher

SAGE Publications

Subject

General Engineering

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