Abstract
This paper proposes torsional vibrations of the loosened clearance problem in coupling and joint for a rotating shaft system. When the coupling and joint are loosened due to deformation, or wear and tear, the torsional stiffness of the rotating shaft may be assumed by a bilinear model for the clearance in coupling and joint. To make researches into the vibrational phenomena of the system, bilinear spring stiffness models are developed. The dynamic behavior of this system is investigated by using a numerical simulation. The possibility to detect the loosened clearance is studied by using nonlinear vibration analyses of the system in this paper. The investigation is based on frequency response, time response, bifurcation diagram, FFT, phase plane diagram and Poincare map.