Material Removal Rate Definition Based on Equivalence Principle in Profile Grinding

The parameters that characterize the profile grinding method productivity, e.g., the material removal rate, specific material removal rate, and material removal as well as specific grinding energy can be obtained through the cross-sectional area of the material layer being cut. In turn, the value of the cross-sectional area during profile grinding is usually found by integrating the equation that describes the groove profile shape in its cross section. The paper proposes a simpler method at the theorem level, which consists of determining the cross-sectional area of an equivalent (in terms of area) rectangular profile installed at the same grinding depth. That is, the task of profile grinding with a curved profile grinding wheel (triangular, semi-circular, involute, etc.) is reduced to the task of the area determining for an equivalent rectangular profile, i.e., just the same as for rectangular grinding conventional operations – surface and cylindrical ones. It is shown that the width of the specified equivalent rectangular profile is in the interval between the widths of the grooves of the curved profile before and after the next working stroke during profile grinding.