Accession Number : AD0479020


Title :   NONLINEAR EQUATIONS FOR CIRCUITS CONTAINING EXPLODING WIRES


Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD


Personal Author(s) : Bennett, Frederick D


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/479020.pdf


Report Date : Sep 1965


Pagination or Media Count : 21


Abstract : A set of nonlinear, ordinary differential equations applicable to R- L-C circuits with exploding wires is developed. From these an exact first integral, or conservation law, is obtained and approximate solutions of the set are found by the Picard method. The ranges of validity of these approximate solutions are examined and criteria developed for scaling exploding wire experiments so that the theoretical expressions will be applicable. Calculations of time-to-melt are made and compared with experimental values. Agreement is good enough to justify confidence in the approximations used. The major regimes of circuit behavior are delineated and discussed.


Descriptors :   *EXPLODING WIRES , *NONLINEAR DIFFERENTIAL EQUATIONS , APPROXIMATION(MATHEMATICS) , CIRCUITS , ELECTRIC CURRENT , ELECTRICAL RESISTANCE , ENERGY , INTEGRAL EQUATIONS , OPERATION


Subject Categories : Numerical Mathematics
      Ammunition and Explosives


Distribution Statement : APPROVED FOR PUBLIC RELEASE