The formation of the microtopography of the machined surface is one of the most critical factors in ensuring the effective operating properties of the product. These are indicators such as wear resistance, fatigue strength, provision of friction parameters of moving joints, etc. The most important reason for the formation of microroughness is vibration in the technological surface of the machine-tool-tool-tool-workpiece. This article is devoted to describing a new method of modelling the dynamic processes of machining. The peculiarity of this technique is using the results of rheological modelling (DEFORM). In addition, the consideration of regenerative vibrations of the tool is the difference of the described model. Regenerative oscillations arise due to surface roughness, which will be processed as a result of the previous technological stage of mechanical treatment. The mathematical model and the research results are described in the article. Recommendations for reducing oscillations are given.
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