FINITE PLATE-BENDING ELEMENTS IN POLAR CO-ORDINATES

Abstract

Two finite elements for plate bending in polar co-ordinates are derived. One element is in the form of a circular sector and the other is in the form of an annular sector. The former element has nine degrees of freedom, while the latter has twelve, the degrees of freedom in each case being a displacement and two slopes at each element corner. The method is checked with several numerical examples. The static deflections of an annular plate and a complete circular plate, both loaded by single concentrated forces, are analyzed and the results compared with exact solutions. Calculations of the free vibrations of complete circular plates are also carried out and compared with exact solutions.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
AD0683911

Entities

People

  • Garry M. Lindberg
  • Helen A. Tulloch
  • Mervyn D. Olson

Organizations

  • National Research Council Canada

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Convergence
  • Deflection
  • Displacement
  • Energy
  • Engineering
  • Equations
  • Finite Element Analysis
  • Frequency
  • Grids
  • Kinetic Energy
  • Mechanical Engineering
  • Mechanics
  • Shape
  • Stiffness
  • Structural Mechanics

Fields of Study

  • Engineering
  • Physics

Readers

  • Structural Dynamics.