Fuzzy Chatter Stability Lobes Model in Milling
Based on the conventional chatter stability model, stability Lobes diagram in die & mould steel milling system is obtained. The derived diagram can be divided into two independent regions by a Lobes curve: absolutely stable and instable region. In fact, it is more reasonable that there should be a transition stage between the stable and instable state. That is to say, grade of stability (GOS) should be in a closed interval [0, 1], rather than Boolean logic. Due to the different stability sensibilities for different order Lobe curve in milling system, there should be different widths of transition belts for different order curve. Thus, with the help of Sigmoid transfer function widths of each order Lobe curve are studied. Finally, the fuzzy chatter stability is implemented by an adjustable slope coefficient.
Jun Wang,Philip Mathew, Xiaoping Li, Chuanzhen Huang and Hongtao Zhu
M. Chen et al., "Fuzzy Chatter Stability Lobes Model in Milling", Key Engineering Materials, Vol. 443, pp. 308-313, 2010