ON THE MOTION OF ANCHOR CHAINS

Abstract

The motion of an anchor chain under the influence of gravitational and frictional forces is considered. An equation of motion is obtained which accounts for the influence of the moment of inertia of the windlass and the frictional moment acting on the axis of the windlass. The solution is expressible in the elliptical functions of Weierstrass. The absence of frictional forces corresponds to the equianharmonic case of the Weierstrass function. All real cases of motion of the anchor chain are included between this case and the case of constant acceleration a = g/3. They can be found by linear interpolation with respect to the parameter expressing the ratio of the friction forces and the accelerating forces.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1953
Accession Number
AD0016273

Entities

People

  • R. G. Olsson

Organizations

  • Brown University

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautical Laboratories
  • Aeronautics
  • Angular Acceleration
  • Applied Mathematics
  • Differential Equations
  • Engineering
  • Equations
  • Integrals
  • Materials
  • Mathematics
  • Mechanical Engineering
  • Military Research
  • Moment Of Inertia
  • New Jersey
  • New York
  • Ordnance Laboratories
  • Universities

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Nuclear Civil Defense.