ANALOG COMPUTER STABILIZATION INVESTIGATION OF LAGRANGIAN EQUATIONS.
Technical rept. Mar 68-Sep 69,
ARMY WEAPONS COMMAND ROCK ISLAND ILL SCIENCE AND TECHNOLOGY LAB
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The use of Lagranges 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
- Theoretical Mathematics