A Rayleigh-Ritz Determination of Upper and Lower Bounds for the Deflection of Orthotropic Cantilever Beams,

Abstract

A numerical scheme based on polynomial approximation is presented for the calculation of upper and lower bounds for the flexibility coefficient of end-loaded orthotropic cantilever beams in a state of plane stress, through use of the principles of minimum potential energy and of minimum complementary energy. The degree-of-freedom of the two-dimensional polynomials employed along with the elastic constants and the depth-to-span ratio of the beam are external parameters of the problem. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1977
Accession Number
ADA040324

Entities

People

  • Sreejith Nair

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • California
  • Cantilever Beams
  • Coefficients
  • Deflection
  • Energy
  • Equations
  • Mechanical Properties
  • Mechanics
  • Polynomials
  • Potential Energy
  • Resilience
  • Structural Mechanics
  • Two Dimensional
  • United States
  • United States Government

Fields of Study

  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Linear Algebra
  • Mechanical Engineering/Mechanics of Materials.