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

► Chatter prediction was investigated for orthogonal cutting in turning operations. ► Prediction of the chatter frequency of the system and the investigation of its stability were conducted in two separate forms; one was in the form oriented transfer function and the other was in the form of applying τ-decomposition form to Nyquist criterion. ► Results obtained from both forms were compared with the modal analysis conducted and the results of cutting test. ► According to both forms of calculus, the results in the prediction of the stability of the system were quite similar.