CNC turning dynamics: Modelling with Newton's linear interpolation and Matlab

This paper presents a mathematical model for linear interpolation motion in CNC turning, developed empirically using Newton's linear interpolation formula. The model provides a precise representation of CNC lathe motion, offering practical insights into the dynamic behaviour of CNC turning operations. By implementing this model in MATLAB, a graphical solution was generated, which simultaneously enables visualisation and facilitates a deeper understanding of CNC machining processes and their optimisation. The study emphasises the significance of mathematical modelling in CNC machining, demonstrating how Newton’s linear interpolation formula can effectively predict and represent tool movement along a workpiece. The empirical approach of the model ensures the accuracy and reliability of CNC lathe simulations, contributing to improved precision and efficiency in turning operations. The MATLAB implementation further enhances the model’s applicability by enabling detailed graphical analysis, making it a useful tool for both theoretical research and practical applications in automated machining.