Analysis of the Snake Motion of a Machine Tool Cross Head Assembly Travelling on Parallel Linear Motion Guides Using a Planar 2-D.O.F. Model

평면 2자유도 모델을 이용한 LMG 상에서 이동되는 Cross Head의 사행동 해석

In this paper, a simple 2 D.O.F. planar motion model is proposed in order to analyze the snake motion of a machining center cross head assembly, that is travelling on linear guide rails. In the proposed mathematical model, the friction between head and guide ways is neglected, and also the support structures including guide rails, rear- and side-panels of the machining center are assumed to be rigid. The equations of motion of the proposed model are derived and successfully solved to determine vibration responses of the head assembly due to some applied traction forces.