Accession Number : AD0723419

Title :   Outline of Stability Analysis.

Descriptive Note : Final technical rept. Volume 1,

Corporate Author : ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s) : Brauchli,H. J.

Report Date : APR 1971

Pagination or Media Count : 48

Abstract : The modified Euler equations are formulated for a gyroscope on gimbal rings mounted on a moving vehicle, the mass and inertial moments of the inner gimbal ring being variable. In a first approximation, the governing differential equations of the system are close in behavior to Hill's equation. Some simple models are discussed in detail. In general, no reliable conclusions on the behavior regarding finite time stability and practical stability of the actual system may be drawn from this analysis. A numerical method applicable to a broad class of systems is proposed to obtain directly the stability domain in parameter space as well as numerical bounds for practical stability over a finite time interval. The first step is based on an application of the invariant imbedding approach, the second on integrating the governing differential equation with a random excitation. (Author)

Descriptors :   (*STABILIZATION SYSTEMS, GYROSCOPES), (*GUIDED MISSILES, INERTIAL GUIDANCE), STABILITY, EQUATIONS OF MOTION, MOMENTUM, NUMERICAL ANALYSIS, THEOREMS, NUMERICAL INTEGRATION

Subject Categories : Guided Missiles

Distribution Statement : APPROVED FOR PUBLIC RELEASE