Nonlinear Large Deformation Theory of Composite Arches Using Truncated Rotations

Abstract

This research has been directed toward capturing large cross sectional rotation during bending of composite arches. A potential energy based nonlinear finite element model that incorporates transverse shear strain was modified to include large bending rotations. Large rotation kinematics were derived in a vector format leading to nonlinear strain that was decomposed into convenient forms for inclusion in the potential energy function. Problem discretization resulted in a finite element model capable of large deformations. Riks method and displacement control solution techniques were used. Numerous problems and examples were compared and analyzed. Code vectorization and parallelization were briefly examined to improve computational efficiency.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA273726

Entities

People

  • Daniel A. Miller Ii

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Composite Materials
  • Computer Programming
  • Computers
  • Differential Equations
  • Geometry
  • Helicopter Rotors
  • Laminates
  • Materials
  • Mechanics
  • Modulus Of Elasticity
  • Parallel Computing
  • Parallel Processing
  • Parallel Processors
  • Plastic Explosives
  • Potential Energy
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Engineering

Readers

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