The study aimed to identify effective methods for optimising and reducing vibration processes in the tool-workpiece-machine system to improve the stability and quality of machining. The study analysed the main types of vibrations in the tool-workpiece-machine system and determined their impact on machining quality, establishing that self-excited vibrations are the main cause of process instability. Classical approaches to cutting and a mathematical model for optimising machining parameters to reduce vibrations and increase the accuracy and efficiency of the technological process were considered. Analysis of classical methods has shown that fixed-angle and constant-feed methods provide stability and predictability of the process, while variable-feed and automatic control methods increase adaptability and reduce vibration amplitude. The simulations confirmed the effectiveness of parameter optimisation to stabilise vibrations and improve machining quality. According to the results of machining on the 1K62 machine with a T15K6 carbide tool, the roughness parameter was reduced from 6.3 to 1.6 microns due to optimisation of cutting modes and increased system rigidity. The study also showed a 40% increase in tool life when self-excited vibrations were eliminated. The generalisation of the data obtained formulated practical recommendations for the selection of machining parameters, considering the dynamic properties of the technological system, to ensure a stable cutting process and improve the quality of machining. The results obtained can be used by specialists of machine-building enterprises and scientists to improve the efficiency of production processes and product quality
damping, amplitude, roughness, service life, oscillation, stability