Abstract
A new approach to analyze the stability of cutting processes when considering the deformation of the workpiece is proposed in this article. In past studies, the workpiece was assumed to be rigid and no deformation was considered. In those studies, the stability of the cutting process was analyzed by merely the dynamic equation of tools. However, the workpiece does have deformation when there is external force exerting on it. Such deformation will change the chip thickness and have an effect on the critical chip thickness of stability. To describe the cutting in turning process, partial differential equations are used and a set of dynamic equations will be considered based on the interaction between the tool and the workpiece. After performing the Laplace transformation, stability can be analyzed based on the length, radius, natural frequency, deflection, aspect ratio and material stiffness of the workpieces. The effect of the critical chip width under different spindle speed will also be discussed in this article. By considering the deformation of the workpiece under different conditions, the results show that the critical chip width of the deformed case is always larger than the rigid body case.
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Chen, CK., Tsao, YM. A stability analysis of regenerative chatter in turning process without using tailstock. Int J Adv Manuf Technol 29, 648–654 (2006). https://doi.org/10.1007/s00170-005-2573-5
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DOI: https://doi.org/10.1007/s00170-005-2573-5