ON THE STABILITY OF A CIRCULAR CYLINDER,

Abstract

This paper deals with a single-degree-of-freedom motion of a rigid right circular cylinder, namely, rotation about any axis normal to the longitudinal axis. The two selected space orientations are such that in the first case the translational velocity vector and the longitudinal axis form the plane of rotation (end-over-endmotion), and in the second case the longitudinal axis lies in the plane of rotation which is always perpendicular to the translational velocity vector. The aerodynamic static and damping stability of the cylinder are first derived for later use in the equations of motion for each of the above-mentioned cases. Rotation of the first type (which may be coined in-plane rotation) is non-linear in nature and depends upon the aerodynamic damping characteristics as well as the initial spin rate, while rotation of the second type (coined normal rotation) is linear and logarithmically damped. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 09, 1956
Accession Number
AD0604933

Entities

People

  • J. L. Raymond
  • T. B. Garber

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Equations
  • Equations Of Motion
  • Mathematics
  • Motion
  • Orientation (Direction)
  • Rotation

Readers

  • Control Systems Engineering.

Technology Areas

  • Space
  • Space - Orbital Debris