A HIGH PRECISION TRIANGULAR PLATE-BENDING ELEMENT,
Abstract
A fully conforming, displacement-type, finite element of triangular shape is developed and applied to the solution of several problems in the bending of plates. The deflection is represented by a fifth degree polynomial in the Cartesian coordinates of the mid-plane. Six deflection parameters, namely the displacement and its first and second derivatives, are specified at each vertex, yielding a total of 18 degrees of freedom for the element. Examples treated include static and dynamic analyses of a square plate with edges simply supported or clamped; statics of a triangular, simply-supported plate; and vibrations of cantilevered triangular plates. Rates of convergence of the finite element approximations are investigated both theoretically and numerically. Excellent accuracy is achieved in all cases, and the rates of error convergence agree closely with predicted asymptotic values. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1968
- Accession Number
- AD0685576
Entities
People
- E. Kosko
- G. M. Lindberg
- G. R. Cowper
- M. D. Olson
Organizations
- National Research Council Canada