THE BUCKLING AND FREQUENCY OF FLEXURAL VIBRATION OF RECTANGULAR ISOTROPIC AND ORTHOTROPIC PLATES USING RAYLEIGH'S METHOD

A simple approximate formula for the natural frequencies of flexural vibration of isotropic plates, originally developed by Warburton using characteristics beam functions in Rayleigh's method, is modified to apply to specially orthotropic plates and extended to include the effect of uniform, direct inplane forces. The initial buckling problem is treated simply by equating the frequency expression to zero. The approach permits the ready determination of reasonably accurate natural frequencies and/or buckling loads for a given plate involving any combination of free, simply supported or clamped edges, without requiring the aid of a sophisticated calculating device or a knowledge of plate, vibration or buckling theory. To illustrate the applicability and accuracy of the approach, numerical results for a number of specific plate problems are presented.(a) /TRRL/

  • Availability:
  • Corporate Authors:

    Academic Press Incorporated

    24-28 Oval Road
    London NW1 7DX,   England 
  • Authors:
    • Dickinson, S M
  • Publication Date: 1978-11-8

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Filing Info

  • Accession Number: 00193917
  • Record Type: Publication
  • Source Agency: Transport Research Laboratory
  • Files: ITRD, TRIS
  • Created Date: Jun 13 1979 12:00AM