Dynamic stability of rotating composite beams with a viscoelastic core

The dynamic stability of a rotating composite beam with a constrained damping layer subjected to axial periodic loads is studied by the finite element method. The unstable regions for simple and combination resonant frequencies are determined by applying Hsu’s procedure to the Mathieu equation. The effects of rotating speed, setting angle and hub radius ratio on the unstable regions are presented. The influences of core thickness ratio and core loss factor on the unstable regions are also studied. The regions of dynamic instability for various parameters are discussed. The rotating composite beam is more stable as the rotating speed, hub radius ratio, core thickness ratio and core loss factor increase. The rotating composite beam is more unstable at the large setting angle.