Influence of Spindle Wobble in Turning on the Workpiece’s Surface Topology

Abstract

The shaping trajectory of the cutting tool relative to the workpiece consists of the trajectories of the machine tool’s working components, trajectories unrelated to control of perturbations (including spindle wobble), and deformational-displacement trajectories of the tool and workpiece relative to the supporting system. In the present work, the perturbation considered is wobble, which depends on the precision and state of the machine tool. Spindle wobble in a lathe leads to the formation of various attractive sets associated with deformational displacement of the tool. The result is to change the shaping trajectory. That affects the geometric topology of the machined surface, which depends not only on the shaping motion but also on independent processes that accompany cutting, such as plastic deformation, thermodynamic phenomena, and dissipative structures formed in the cutting zone. The present work examines how the attractive sets associated with the deformational displacement produced by spindle wobble are related to the surface topology. The contribution of the wobble to the surface topology is assessed.