Research Article

Parametric and self–excited vibrations induced by friction in a system with three degrees of freedom

Imaekhai Lawrence and Ugboya A Paul

Author E-mail: oboscos@yahoo.com, upaigbe2002@yahoo.com

Accepted 17 October  2013

Abstract

The paper presents the analysis of a nonlinear parametric system consisting of a rotor with rectangular cross–section placed in a rigid self–excited base. The parametric instability zones have identified on the basis of the method of expanding into a power series in relation to two perturbation parameters (one connected with parametric excitation, the other with friction coefficient). The influence of the changes of chosen parameters of the system on the size and instability zones of the first order has been investigated.

Keywords: Rotor, Self–Excited and Parametric Vibration, Perturbation Parameters