Stabilization of parametric excitation of asymmetrical shaft by dynamic damper

Abstract

In asymmetrical shaft system which has asymmetry in shaft stiffness, it is known that unstable vibration appears near the major critical speed by parametric excitation. In this paper, we propose use of dynamic damper for preventing unstable vibration in asymmetrical shaft. Firstly, equation of motion of asymmetrical shaft system with dynamic damper is derived, and steady-state solutions are obtained. Then, stability analysis of steady-state solutions is conducted. It is found from numerical examples that unstable vibration is suppressed by selecting appropriate parameter of dynamic damper. Experimental analysis is also conducted, which confirms the validity of theoretical analysis.