Using lobe diagrams to optimize spindle velocity and cut width ratio

Subject Areas : Optimization

Mohamad Jafar Ostad Ahmad Ghorabi ¹ (Department of Mechanical Engineering, Semnan Branch, Islamic Azad University, Semnan, Iran)

Received: 2018-12-31 Accepted : 2019-03-07 Published : 2019-05-22

Keywords: chatter, stability lobe diagram, xxx,

Abstract :

Machine tool chatter causes machining instability, surface roughness, and tool wear in metal cutting processes. A stability lobe diagram based on regenerative chatter theory is an effective tool to predict and control chatter. Stability diagrams can be applied in machining processes to optimize the maximum depth of cut at the highest available spindle speed. These diagrams are formed by a series of intersected scallop-shaped borderlines of stability. The intersections of the lobes denote the deepest stable cuts at various ranges of spindle speed. The creation of a stability lobe diagram requires lengthy procedures and calculations. This paper presents a simple method to analytically calculate the approximate optimum depths of cut and determine the corresponding spindle speeds. This method allows machine operators to practically choose cutting parameters, instructors to effectively teach the regenerative chatter theory, and students to easily create stability lobe diagrams and practice optimizing cutting parameters. The characteristics and limitations of the stability lobe diagram are discussed.