Accession Number : AD0698021

Title :   ANALOG COMPUTER STABILIZATION INVESTIGATION OF LAGRANGIAN EQUATIONS.

Descriptive Note : Technical rept. Mar 68-Sep 69,

Corporate Author : ARMY WEAPONS COMMAND ROCK ISLAND ILL SCIENCE AND TECHNOLOGY LAB

Personal Author(s) : Cacari,Paul

Report Date : OCT 1969

Pagination or Media Count : 55

Abstract : The use of Lagrange's method for development of a mathematical model to define the energy distribution of a system yields in normal coordinates a set of differential equations wherein the highest order term of every variable appears in every equation. In an attempt to simulate such a system on an analog computer, algebraic loops with gains = or > may be required, but cause instability in the equipment. This report concerns an investigation of possible methods of either eliminating the offending algebraic loops or minimizing their gain. Specifically, the Lagrangian method, which defines the soft-recoil system for a 155mm Howitzer, is examined only to stabilize the equations rather than to perform a parametric variation study. (Author)

Descriptors :   (*HOWITZERS, RECOIL MECHANISMS), (*RECOIL MECHANISMS, EQUATIONS OF MOTION), DIFFERENTIAL EQUATIONS, MATHEMATICAL MODELS, MATRICES(MATHEMATICS), NUMERICAL ANALYSIS, ANALOG COMPUTERS, SIMULATION, STABILITY

Subject Categories : Theoretical Mathematics
      Guns

Distribution Statement : APPROVED FOR PUBLIC RELEASE