Fig. 1
The inverse solution of process parameters using empirical functions and empirical functions derived from different experimental datasets. (a) Function fitting using a single set of experimental data, showing that identical surface roughness values (Ra = 0.68 μm, 0.72 μm, 0.76 μm, and 0.80 μm) correspond to multiple different combinations of process parameters, where f represents feed rate, Vw represents workpiece feed speed, and Vs represents grinding wheel linear velocity. (b) Empirical functions obtained from fitting different experimental datasets. Fitting empirical functions 1: \(Ra=4.86{{\text{e}}^6} \times {V_s}^{{ - 5.53}}{V_w}^{{5.37}}{f^{ - 5.50}}\); Fitting empirical functions 2: \(Ra=110 \times {V_s}^{{ - 1.97}}{V_w}^{{1.82}}{f^{ - 2.05}}\); Fitting empirical functions 3: \(Ra=3.83{{\text{e}}^7} \times {V_s}^{{ - 6.257}}{V_w}^{{5.97}}{f^{ - 6.14}}\); Fitting empirical functions 4: \(Ra=0.97 \times {V_s}^{{ - 0.33}}{V_w}^{{0.21}}{f^{ - 0.42}}\); Fitting empirical functions 5: \(Ra=2.19{e^8} \times {V_s}^{{ - 6.86}}{V_w}^{{6.57}}{f^{ - 6.74}}\)
