CLOSED FORM, FINITE ELEMENT SOLUTIONS FOR PLATE VIBRATIONS

Abstract

The convergence rates of eigenvalue solutions using two finite plate- bending elements are studied. The elements considered are the well-known 12- degree-of-freedom, non-conforming rectangular element and the 16-degree-of- freedom, conforming rectangular element. Three problems are analyzed: a square plate simply supported on two opposite sides, with the other two sides clamped, simply supported, or free. Closed form, finite element solutions for these problems are obtained by using shifting E-operators.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1969
Accession Number
AD0690836

Entities

People

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

Organizations

  • National Research Council Canada

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bending Moments
  • Boundaries
  • Boundary Value Problems
  • Convergence
  • Deflection
  • Differential Equations
  • Digital Computers
  • Displacement
  • Eigenvalues
  • Equations
  • Errors
  • Frequency
  • Partial Differential Equations
  • Potential Energy
  • Sine Waves
  • Two Dimensional
  • Waves

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.