The Buckling and Vibration of Composite Plates Using the Levy Method Considering Shear Deformation and Rotary Inertia.

Abstract

An analytical study is conducted to determine the stability and free vibration characteristics of laminated anisotropic plates using the Levy approach. Included in the plate model are the effects of shear deformation and rotary inertia. Six different boundary conditions in the y direction analyzed in conjunction with simply-supported boundaries in the x direction. The y directed boundaries considered are simple-simple, clamped-clamped, simple-clamped, simple-free, clamped-free, and free-free. Solutions are presented for the buckling loads and natural frequencies of rectangular, graphite-epoxy symmetric plates. The results indicate the importance of including shear effects and rotary inertia in a plate's mathematical model. The overall importance of these equation parameters is definitely a function of the boundary condition and a general statement cannot be made. In addition, the effectiveness of the Levy technique, in studying laminated problems, becomes apparent in handling the more complicated boundaries as compared to the Galerkin or Rayleigh-Ritz techniques.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1987
Accession Number
ADA189743

Entities

People

  • Real F. Palardy

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Classification
  • Composite Materials
  • Differential Equations
  • Dynamic Response
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Geometry
  • Graphitic Materials
  • Materials
  • Mathematical Models
  • Mechanics
  • Resonant Frequency
  • Two Dimensional
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.