Flexural Vibrations of Cylindrically Aeolotropic Circular Plates

Abstract

Equations for the determination of the frequencies of flexural vibration and corresponding modal shapes for cylindrically aeolotropic circular plates are presented. A considerable analysis has been made of the case of symmetric vibrations and results are tabulated. The theory is exemplified by an analysis of the vibration of a circular plate with circular stiffeners for which the effective elastic compliances had been determined in a previous investigation. Nodal patterns and corresponding frequencies were experimentally determined for the first five symmetric modes and the first four asymmetric modes of a simply supported stiffened plate. Comparison between the theoretical and experimental results for the first three symmetric modes is provided. Finally, some discussion is given for the important problem of approximating plates with attached stiffeners by equivalent homogeneous uniformly thick aeolotropic plates.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0422343

Entities

People

  • I. A. Minkarah
  • W. H. Hoppmann Ii

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Differential Equations
  • Equations
  • Frequency
  • Inertia
  • Materials
  • Mechanics
  • New York
  • Plastic Explosives
  • Shape
  • Static Tests
  • Two Dimensional
  • Vibration

Fields of Study

  • Engineering
  • Physics

Readers

  • Structural Dynamics.