Floor surface roughness model considering tool vibration in the process of micro-milling

The high quality of the micro-machined surface is the basic for promoting micro-milling technology, so the understanding of surface forming mechanism and the relationship between micro-milling parameters and the surface roughness are important. In this paper, we establish a comprehensive floor surface model which predicts the surface roughness of the grooves under different cutting parameters and tool geometrical parameters in micro-milling. This model is based on the movement and vibration of micro-end mill and the forming of workpiece surface governed by elastic recovery and tool geometry. The kinematics of micro-milling operations directly affects the topography and is calculated by the trochoidal trajectory formula. The relative vibration of the tool to the workpiece, which affects the ultimate movement trajectory, is measured through experiments. Besides, the elastic recovery and the minimum cutting thickness included in the surface generation procedure are calculated based on the microscopic mechanics of strain gradient theory. Finally, experiments of slot micro-milling under different cutting parameters validate the accuracy of the surface prediction model.