APPLICATION OF THE HIGH PRECISION TRIANGULAR PLATE-BENDING ELEMENT TO PROBLEMS WITH CURVED BOUNDARIES.

Abstract

The application of the high precision triangular plate-bending element to problems with curved boundaries is considered. Appropriate edge conditions for nodal points on these boundaries are derived. The error inherent in representing a curved boundary by a series of straight segments is found to be the limiting factor on accuracy, while the effect of approximations in the boundary conditions is minor. To overcome the first type of error, the high precision element is modified to include one curved edge. Substantial improvements in accuracy are obtained, as demonstrated in example calculations for circular and elliptical plates. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0708668

Entities

People

  • G. M. Lindberg
  • G. R. Cowper
  • M. D. Olson
  • M. W. Chernuka

Organizations

  • National Research Council Canada

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Precision

Fields of Study

  • Physics

Readers

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