Wrappability of Curves on Surfaces

Abstract

In this report, conditions are derived under which a path on a general smooth surface is wrappable or capable of receiving an essentially one- dimensional flexible filament under tension that clings to the surface throughout its length and does not slip. Wrappability considerations are of practical importance in the fabrication of filament-wound composite pressure vessels, for instance. The general wrappability conditions derived are applied to two special cases: general cylinders and general surfaces of revolution.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1992
Accession Number
ADA250004

Entities

People

  • Royce W. Soanes

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Cyber
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Applied Mathematics
  • Composite Materials
  • Curvature
  • Differential Geometry
  • Engineering
  • Filaments
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Materials
  • Mathematics
  • Military Research
  • Pressure Vessels
  • Revolutions
  • Security
  • Vector Analysis

Fields of Study

  • Mathematics

Readers

  • Electrical Engineering
  • Reinforced Composite Materials
  • Systems Analysis and Design