Thin Plates with Rapidly Varying Thickness, and Their Relation to Structural Optimization.

Abstract

Mathematical models are described for plates with rapidly varying thickness; we place special emphasis on their relation to problems in optimal design. Our plate models extinguish between variations on a scale larger than the mean thickness, on a scale comparable to the mean thickness and on a scale smaller than the mean thickness. We review a number of theoretical results that compare the relative strengths of these three design options. The paper also contains exact numerical values for the rigidities of certain interesting plate profiles. These values were computed by a finite element method.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1985
Accession Number
ADA157607

Entities

People

  • M. Vogelius
  • R. V. Kohn

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundary Value Problems
  • Calculus Of Variations
  • Elastic Materials
  • Elastic Properties
  • Equations
  • Geometric Forms
  • Geometry
  • Inequalities
  • Lines (Geometry)
  • Materials
  • Mathematics
  • Modulus Of Elasticity
  • Periodic Functions
  • Physical Sciences
  • Plastic Explosives
  • Three Dimensional
  • Variational Principles

Readers

  • Fluid Dynamics.
  • Systems Analysis and Design