Stability Analysis and Control of a Rotary Flexible Beam.

Abstract

This paper addresses the stability analysis and control of a two degree of freedom flexible rotary beam with a flexible joint. The beam has been modelled as a lumped mass system with flexibility in two planes represented by torsional springs. The nonlinear equations of the system are coupled and contain gyroscopic terms. It is shown that the system can exhibit both divergence and flutter instabilities as the rotational speed and/or the beam and joint stiffnesses vary. It is demonstrated that the stabilization of the system is possible by adjusting the joint flexibility, via position feedback. Furthermore, addition of damping to the joint through velocity feedback, could remove the oscillations in one direction and significantly reduce the vibrations in the other, once the joint stiffness is properly tuned (at internal resonance).

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1993
Accession Number
ADP009079

Entities

People

  • G. R. Heppler
  • M. F. Golnaraghi

Organizations

  • University of Waterloo

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Dynamics
  • Equations
  • Feedback
  • Instability
  • Mechanical Properties
  • Motion
  • Oscillation
  • Physical Properties
  • Resilience
  • Resonance
  • Rhode Island
  • Stiffness
  • Vibration

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.