Análise de vibração de uma haste sob a ação de forca centrifuga e de Coriolis

Abstract

The dynamic stability and the analysis of motion of a bar under the action of centripetal and Coriolis acceleration is investigated. A simplified one degree of freedom model is used for the cases of a rigid and a flexible bar. The equations of motion may be established by Lagrangian or Newtonian Mechanics and result in non-linear second order differential equations. The stability regions of the motion are determined by the criterium of Ljapunov; the analysis of motion is done in the phase plane where one can integrate the equation of the trajectory. Some numerical results are presented related to this integration in the case of the flexible bar.