VARIATIONAL PRINCIPLES FOR ELASTIC PLATES WITH RELAXED CONTINUITY REQUIREMENTS.

Abstract

The classical variational principles of the theory of elastic plates impose stringent continuity conditions on the moment and deflection fields that are admitted for comparison with the natural fields. Since these continuity conditions are difficult to fulfill in a finite-element approach, the classical variational principles cannot be used to derive the basic equations of typical finite element methods. Modified variational principles are established that impose less exacting continuity conditions on the relevant fields. These principles are classified according to the number of independent fields that are involved. The application of the principles to typical finite-element analyses is indicated. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0665289

Entities

People

  • William Prager

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Continuity
  • Deflection
  • Differential Equations
  • Equations
  • Finite Element Analysis
  • Mathematical Analysis
  • Mathematics
  • Variational Principles

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.
  • Systems Analysis and Design