Linear analysis of chatter vibration and stability for orthogonal cutting in turning

A review of chatter vibration research in turning

“…Such research is currently under way at the University of Western Australia. [14], [31], [32], [35], [38], [40], [42,43], [44], [45], [24], [49], [51], [28], [54], [56], [57], [58], [59], [60], [63], [64], [25], [66], [71], [22], [83], [94] 29 2 Nyquist plots [6], [56], [61], [62], [63], [64], [25], [65] 8 3…”

“…Impact testing is the most conventional experimental method for obtaining dynamic parameters for the chatter model. In particular, the natural frequency, damping ratio, Real and Imaginary parts of the transfer function are determined by impact testing technique which has been used by several researchers [10,[22][23][24][25][26][27][28]. The structural stiffness (k) of the tool-workpiece system can be obtained by simultaneous measurement of displacement and static force applied at the end of the workpiece through the tool as shown in [10,24,28].…”

“…The process damping force is also included in the model and finally stability prediction is analytically carried out using the Nyquist criterion. Turkes et al [25] predicted chatter vibrations in orthogonal cutting with an SDoF turning system by modeling the process according to OTF (oriented transfer function) and t decomposition forms. The stability of the system by applying OTF and t decomposition form to the Nyquist criteria was also investigated.…”

A hybrid decision making approach to prevent chatter vibrations

“…The turning process can be modelled according to the number of degrees of freedom (DOF) [15][16][17][18][19], tool and workpiece flexibilities [20][21][22] and tool wear and process damping [23][24][25]. A number of authors have used Nyquist plots and finite element analyses [26][27][28][29] and have performed experiments measuring force and vibration in an attempt to predict chatter stability [18,22,[30][31][32][33].…”

Nonlinear analysis of chatter in turning process using dimensionless groups

“…However, in recent years, focus is turned on nonlinear modeling of chatter in turning by considering various nonlinear phenomena affecting the process. The linear analysis of the single degree of freedom model was performed by Turkes et al [3] to predict the chatter for orthogonal cutting in turning operations. A simple two-dimensional dynamic model for the nonlinear cutting force considering the geometry of orthogonal cutting, the effects of tool cutting on the wavy surface of the workpiece and the variations of the cutting angle in the cutting process has been developed by Lin and Weng [4].…”