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GRADE OF STABILITY IN FUZZY CHATTER STABILITY LOBE MODEL IN MILLING
Authors:Ming Chen  Weiwei Ming  Xiaohui Zhang
Affiliation:1. College of Electromechanical Engineering, Hunan University of Science and Technology , Xiangtan , China mchen@sjtu.edu.cn;3. School of Mechanical Engineering, Shanghai Jiao Tong University , Shanghai , China;4. School of Mechanical and Power Engineering, Henan Polytechnic University , Jiaozuo , China
Abstract:The machining productivity and part quality are typically limited by the regenerative chatter induced by the dynamic interactions of spindle-holder-tool combination system. The conventional chatter stability model predicts the permissible stable axial depth of cut versus spindle speed by plotting the stability lobe diagram which represents two independent regions as absolutely stable zone and instable zone divided by the critical lobe curve. In fact, it is more reasonable to be a transition stage between the stable and instable zone. This paper introduced the grade of stability (GOS) to improve the conventional chatter stability model and study the transition zone in the stability lobe diagram. The variation of transition zone width with the stability sensibilities for different order lobe curve in milling system was analyzed. Sigmoid function was used as the membership function to develop the fuzzy stability lobe model. Then, the fuzzy stability lobe diagram with an adjustable slope coefficient was implemented to improve the mould steel milling process. The improved fuzzy stability model enhances the reliability of stability lobe diagram and guarantees the chatter-free milling process.
Keywords:chatter  fuzzy  milling  stability
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