ANALOG COMPUTER STABILIZATION INVESTIGATION OF LAGRANGIAN EQUATIONS.

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)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0698021

Entities

People

  • Paul Cacari

Tags

DTIC Thesaurus Topics

  • Analog Computers
  • Computers
  • Computing Devices
  • Differential Equations
  • Equations
  • Gun Support Equipment
  • Howitzers
  • Instability
  • Mathematical Models
  • Mathematics
  • Models
  • Weapons Support Equipment

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.
  • Systems Analysis and Design