Experimental study of the relationship between the vibro-acoustic parameters of the grinding process and the macro-roughness of the treated surface

OBRABOTKAMETALLOV Vol. 23 No. 3 2021 technology Ta b l e 2 Values of deviations from cylindricality Grinding wheel running time t, min Radial feed rate S R , mm/min 0.2 0.3 0.5 0.8 Cylindricality deviation Δ, mm 1 0.01542 0.01459 0.02214 0.03165 2 0.02115 0.02097 0.02401 0.02863 5 0.02323 0.02558 0.02849 0.03629 Fig. 6. Broken line of cylindricality The table value of Fisher’s criterion for the significance equation P = 0.05 and the values of the degrees of freedom = 2 R f and = 13 e f is = 3.8 table F . The calculated value is 9.75: = =  9.75 3.8. cal table F F (4) Therefore, the resulting model can be considered statistically significant. We can combine Equations (1) and (3) by expressing the common time variable and equating the resulting expressions. The final expression is: ∆ = ⋅ β + ⋅ + 0.001 0.004 0.065. R S (5) Mathematical model (5) reflects how the deviation from the cylindricality of a circular profile sample correlates with the level of sound generated during grinding, taking into account the infeed rate. The main factors, the influence of which is considered in the work are the infeed rate and the running time of the ground wheel. The influence of other conditions should be investigated separately, and adjustments should be made to the dependence to expand the applicability of the mathematical model.