LINEARIZED DYNAMICS OF ROTATING AEROSPACE VEHICLES WITH INTERNAL ANGULAR MOMENTA,

Abstract

The coupling of longitudinal and lateral motions arising from the gyroscopic effects of internal rotating parts, and from inertial cross-coupling is considered. Equations of motion are reduced to a four-degrees-of-freedom set by neglecting perturbations in the rolling velocity and forward speed as measured in a special axis system. A quartic characteristic equation results which contains the effects of steady-state lateral angular and pitching velocities. This quartic can be regarded as the characteristic equation of a hypothetical closed-loop system and the roots, critical interal angular velocity, etc., can be obtained by standard graphical servo techniques. Examples of the application of these techniques are presented to show that this approach indicates the salient features of the coupled motions, predicts any stability deficiencies that may exist, and enables the effects of parameter changes to be analyzed swiftly. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1961
Accession Number
AD0268628

Entities

People

  • Duane T. Mcruer
  • Julian Wolkovitch

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aerospace Craft
  • Closed Loop Systems
  • Couplings
  • Deficiencies
  • Dynamics
  • Equations
  • Equations Of Motion
  • Mathematics
  • Perturbations
  • Standards
  • Steady State
  • Vehicles

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster
  • Space - Spacecraft Maneuvers