Stability of Subharmonic Limit Motions of a Slightly Asymmetric Missile

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.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1975
Accession Number
ADB005079

Entities

People

  • B. A. Hodes
  • Charles H. Murphy
  • J. W. Bradley

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Coordinate Systems
  • Differential Equations
  • Engineering
  • Equations
  • Frequency
  • Instability
  • Jet Propulsion
  • Nonlinear Analysis
  • Nonlinear Differential Equations
  • Numerical Integration
  • Perturbations
  • Physics Laboratories
  • Steady State
  • Test And Evaluation
  • Trim Angle

Readers

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