Transient Response of an Electromagnetic Rail Gun: A Pedagogical Model

Abstract

We present a highly simplified model of an electromagnetic rail gun. The energy source for the gun consists of a rotating magnetic dipole moment positioned at the center of a stator coil. The dipole moment is free to rotate about an axis normal to the stator coil's axis, inducing a current in the rail gun stator circuit, and thereby propelling the projectile. The system's dynamical behavior is described by three nonlinear coupled ordinary differential equations, involving time-dependent functions representing the armature's position, the stator circuit's current, and the dipole moment's angular position. We numerically solve this system of differential equations and plot the solutions versus time. The results exhibit a complicated dynamics due to the interaction of the electrical and mechanical degrees of freedom.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1998
Accession Number
ADA345008

Entities

People

  • John D. Bruno
  • Thomas B. Bahder

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Sensors
  • Weapons Technologies

DTIC Thesaurus Topics

  • Armatures
  • Differential Equations
  • Dipole Moments
  • Dynamics
  • Electric Fields
  • Electric Guns
  • Energy
  • Equations
  • Flux Density
  • Free Energy
  • Guns
  • Kinetic Energy
  • Magnetic Dipoles
  • Magnetic Fields
  • Magnetic Flux
  • Magnetic Moments
  • Mechanical Equipment

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics
  • ballistics.