A sophisticated mathematical model of the magnetic gun is presented and solved numerically. The model consists of three strongly non-linear and non-stationary differential equations describing the time-dependent distribution of magnetic field in the device, current in the field circuit and movement of the projectile. The numerical solution is carried out in the application Agros2D based on a fully adaptive higher-order finite element method. The results are processed in Wolfram Mathematica. The methodology is illustrated by an example and selected results are compared with experiment.
A sophisticated mathematical model of the magnetic gun is presented and solved numerically. The model consists of three strongly non-linear and non-stationary differential equations describing the time-dependent distribution of magnetic field in the device, current in the field circuit and movement of the projectile. The numerical solution is carried out in the application Agros2D based on a fully adaptive higher-order finite element method. The results are processed in Wolfram Mathematica. The methodology is illustrated with an example and selected results are compared with experiment.
W artykule przedstawiona została analiza matematyczna zjawisk fizycznych wykorzystywanych w wyrzutniach typu rail gun. Przedstawiono opis matematyczny siły działającej na pocisk w stanie statycznym. Zaprezentowano również sposób wyznaczania siły elektromotorycznej indukowanej w obwodzie wyrzutni podczas procesu wystrzału. Przeprowadzono analizę możliwości wykorzystania obwodów magnetycznych z magnesami trwałymi w wyrzutniach typu rail gun.
EN
This paper presents the mathematical analysis of magnetic phenomena which are used in a rail gun. Mathematical description of the force acting on the projectile in a static state was presented. The equation of the electromotive force (EMF) induced in the rail gun during the shoot process was derived. The magnetic circuit with permanent magnet and aerial gap was presented as an external source of magnetic field between both rails. The analysis of the possibilities of improving launcher achievements by using magnetic circuit was made. The influence of external magnetic field on EMF and force acting on the projectile in the assumed model was defined. The comparison permits to affirm that external magnetic field can considerably magnify the force acting on the projectile. The value of EMF is negligibly small compared to high velocity energy storage commonly used in rail guns.
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