Wheel-Wear Compensation for Numerical Form Grinding

A new method for reducing the effect of grinding wheel wear on workpiece inaccuracy in numerically controlled form grinding of surfaces of revolution is proposed and analyzed. A mathematical model to describe wheel wear and contour production is developed for the grinding of a cyclindrical surface. The model results in a first-order hyperbolic differential equation for the radius of the wheel profile as a function of time and position. This equation is solved numerically using the method of characteristics. Closed-form solutions are also presented for a simplifed version of this equation. Pertinent results, such as reduction in the error in the workpiece radius, are presented to demonstrate the effectiveness of the proposed method.