Active vibration control of rotating composite shaft system

Abstract

Fiber reinforced polymer (FRP) composites shafts find many application in the modern industries due to its flexibility and light weight. The present work deals with the study of finite element analysis and active vibration control of rotating composite shaft system under unbalance forces using three nodded beam element. The composite shafts are modeled as a Timoshenko beam by mounting discrete isotropic rigid disks on it and supported by flexible bearings that are modeled with viscous dampers and springs. Based on first order shear deformation (FOSD) beam theory with transverse shear deformation, rotary inertia, gyroscopic effect, strain and kinetic energy of shafts are derived by adopting three-dimensional constitutive relations of material. The derivation of governing equation of motion is obtained using Hamilton’s principle and solutions are obtained by three-node finite element (FE) with four degrees of freedom (DOF) per node. Active vibration control of the rotating composite shaft has also been implemented using electromagnetic actuator and PD control technique. Various results have also been obtained such as Campbell diagram, transverse displacements, transverse control responses, control currents and control forces in the both directions. The effect of ply orientation on the Campbell diagrams and the transverse responses has also been studied. The effect of number of actuators on the control responses and the control forces has also been presented