Accession Number:

ADB005079

Title:

Stability of Subharmonic Limit Motions of a Slightly Asymmetric Missile

Descriptive Note:

Final rept.

Corporate Author:

ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Report Date:

1975-06-01

Pagination or Media Count:

45.0

Abstract:

A cubic static moment acting on a slightly asymmetric missile can under certain conditions produce a nonharmonic steady-state response. For small amplitude motion, this response occurs at one-third the spin rate and hence is called a subharmonic response. The equations defining the conditions under which a nonharmonic response will occur impose an upper bound on the nonnegative damping parameter. For the given parameter less than this upper bound, there are two possible nonharmonic motions. In this report we show that one of these motions is stable, the other unstable that is, the stability instability boundary occurs where the parameter is at its upper limit. A simple approximate relation is presented for establishing whether a given set of parameters will produce a stable or unstable nonharmonic steady-state response.

Subject Categories:

  • Guided Missile Dynamics, Configurations and Control Surfaces
  • Fluid Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE