회전기계의 진동저감을 위한 자동볼평형장치

Abstract

In this study, we establish a theory for dynarnic behaviors of an automatic ball balancer, analyze its dynarnic characteristics, and provide its design guide line. Equations of motion are derived by using the polar coordinate system instead of the rectangular coordinate system which was previously used in other researches. After nondimensionalization of the equations, the perturbation method is applied to locate the equilibrium positions and to obtain the linearized equations of motion around the equilibrium positions. The Eigenvalue problem is used to verify the dynarnic stability around the equilibrium positions. On the other hand, the time responses are cornputed from the nonlinear equations of motion by using a time integration method.