STOCHASTIC MODELING OF THE TOPOGRAPHY OF THE WORKING SURFACE OF PRODUCTS AT FINISHING OPERATIONS
DOI:
https://doi.org/10.32782/2618‐0340/2020.1‐3.23Keywords:
stochastic model, grinding, surface topography, dynamic systemAbstract
It is proposed to improve the grinding dynamics model, in which each abrasive grain is considered a distinct cutting edge with random characteristics of shape and location on the grinding wheel's surface. Because vibrations inevitably occur in the dynamic system during cutting, which requires additional research. In the model, the machining process is depicted as micro-cutting with abrasive grains that are randomly distributed on the grinding wheel's surface. The geometric parameters of the grains are also random. Because of modeling surface textures after processing, distribution of cutting forces, dynamic deviations of the tool are received. Their spectral characteristics are constructed, which allows the estimation of the influence of processing modes and parameters of the technological system on vibrations. It is shown that vibrations are excited in the system both at the frequencies of external excitation (grain frequency) and at the natural frequencies of the elastic dynamic system characteristic of a regenerative excitation source. It is established that at low rigidity of technological system self-oscillations of chatter type with big amplitude are broken because of the mechanism of regenerative excitation from grain to grain at frequencies multiple of natural frequencies of oscillations leading to loss of quality of processing of working surfaces of products and strengthening of tool wear. The adequacy of the constructed model was checked by comparing the simulation results with the experimental results. For this purpose, the treatment of the flat surface of the material of the part with a wear-resistant coating with a grinding wheel was considered. The appearance of the surface after passing the tool was obtained using an improved model. The final microrelief of the surface after grinding shows the effectiveness of the constructed model and its ability to provide the topography of the treated surfaces of products.
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