Mathematical Aspects of the Off-Line Programming of Filament Winding Machines for General Surfaces of Revolution

Abstract

This report contains a reasonably complete description of the analytical, geometrical, numerical, and computational aspects of the off-line programming of a rotating-traversing composite filament winding machine for wrapping general axisymmetric surfaces of revolution. The topics addressed are geodesic winding paths, path/angle relations, quasi-geodesic paths, wrappable paths and surfaces, path behavior near turning points, a square root singularity quadrature formula, piecewise linear approximation, path computation, path/ winder relations, winder data generation, time base computation, surface coverage relations, surface buildup relations, function definition, and indefinite integration. Keywords: Differential geometry, Variational calculus, Error analysis. (kr)

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1988
Accession Number
ADA199544

Entities

People

  • Royce W. Soanes

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

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

DTIC Thesaurus Topics

  • Composite Materials
  • Computational Science
  • Computations
  • Computer Programming
  • Curvature
  • Demographic Cohorts
  • Differential Geometry
  • Equations
  • Error Analysis
  • Geometry
  • Integrals
  • Mathematical Analysis
  • Military Research
  • New York
  • Number Theory
  • Security
  • Square Roots

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Reinforced Composite Materials
  • Robotics and Automation.