Analysis of the 1/2 Subharmonic-primary Parametric Resonance of Viscoelasticity Driving Belt System

Abstract

Based on the viscoelasticity driving belt of transverse vibration equations under the action of parametric excitation,by using the method of multiple scales,the approximate solution of the 1 /2 subharmonic- primary parametric resonance equations is obtained. The influence of the viscoelasticity parameter,detuning parameter and an axial moving speed on the amplitudes of steady- state response boundaries is analyzed. Some new dynamical phenomena are revealed of viscoelasticity driving belt.