A Refined Quadrilateral Element for Analysis of Plate Bending

Abstract

The formulation of a fully compatible general quadrilateral plate bending element is described. The element is assembled from four partially constrained linear curvature compatible triangles, arranged so that no mid-side nodes occur on the external edges of the quadrilateral; thus, the resulting element has only 12 degrees of freedom. Also described is a simple shear distortion mechanism which may be incorporated into the element without changing its basic structure. Results are presented for static analyses with and without shear distortion, and for plate vibration and plate buckling studies, all performed with this quadrilateral element. It is concluded that this is the most efficient general bending element yet devised.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1968
Accession Number
ADA447741

Entities

People

  • Carlos A. Felippa
  • Ray W. Clough

Organizations

  • University of California, Berkeley

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Aircrafts
  • Airplanes
  • Buildings And Structures
  • Distortion
  • Geometry
  • Information Operations
  • Mechanical Structure
  • Mechanics
  • Physics Laboratories
  • Structural Mechanics

Readers

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