Flight Mechanics of an Elastic Symmetric Missile

Abstract

The free-flight motion of an elastic missile is approximated with three bodies connected by two massless elastic cantilever beams. If the mass distribution of the three bodies is 1-2-1, the frequency of the symmetric oscillation of the outer bodies is within 5% of the classical frequency of the oscillation of a free-free beam. A second combined pitching antisymmetric flexing motion can occur with a frequency that is almost twice that of the symmetric flexing motion. As the beam stiffness is reduced, the symmetric flexing motion frequency approaches the rigid body aerodynamic zero-spin frequency, and the flight zero-spin aerodynamic frequency is considerably reduced. Moderate beam damping can cause dynamic instability for spins greater than the zero-spin aerodynamic frequency. Resonance mode amplification can occur when the spin is equal to the zero-spin aerodynamic frequency, but more importantly it can occur when the spin is equal to the two elastic flexing frequencies. Spin-yaw lock-in occurs at the lower elastic frequency.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 2000
Accession Number
ADA390525

Entities

People

  • Charles H. Murphy
  • William H. Mermagen Sr

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Aerodynamic Forces
  • Angular Momentum
  • Angular Motion
  • Cantilever Beams
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Fineness Ratio
  • Flight
  • Free Flight
  • Frequency
  • Instability
  • Mechanics
  • Military Research
  • Resonance
  • Resonant Frequency

Fields of Study

  • Engineering
  • Physics

Readers

  • Control Systems Engineering.
  • Structural Dynamics.