Dynamic Instability of the Flexible Coupler of a Four-Bar Mechanism,

Abstract

Dynamic behavior of flexible components of mechanisms is prone to instabilities which create resonant speed barriers. By considering small deformations superimposed on the steady dynamic state equations governing evolution of disturbances can be obtained. For the case of mechanisms driven by periodic inputs these equations reduce to a system of coupled Mathieu-Hill equations for the amplitudes of modes of vibrations. Application of the Floquet theory determines the critical conditions of speed, geometry and material properties causing dynamic instability. (Author)

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1985
Accession Number
ADP004909

Entities

People

  • I. G. Tadjbakhsh

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Applied Mathematics
  • Equations
  • Equations Of State
  • Formulas (Mathematics)
  • Geometry
  • Instability
  • Materials
  • Mathematics
  • Personal Information Managers
  • Vibration

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Materials Science (Mechanical Engineering).