Finite Element Analysis of Profile Grinding Temperature

Abstract

The analysis of equations for determining the grinding temperature taking into account the curvature of the grinding profile, is performed. Mathematical models of the temperature field were proposed, which makes it possible to identify the influence of the curvature radius of the surface to be ground on the grinding temperature in the range from a semicircular profile to a linear one as the radius of the semicircular profile tends to infinity. The variation range of the curvature radius is established, in which the curvature of the profile being ground can be neglected when calculating the grinding temperature. The influence of the profile curvature radius on the maximum grinding temperature was established using both direct calculating and computer simulating of the temperature field by the analytical model and the finite element method (FEM), respectively. Grinding temperature FEM simulation results differ by no more than 0.5% compared to the analytical model under otherwise similar conditions. It is established that the FEM simulation is more suitable due to its greater sophistication, which makes it possible considering the individual geometric features of the surface to be ground as well as any instantaneous distribution of the heat flux in the grinding zone. At the same time, an analytical model for direct calculating of the grinding temperature takes much less time to get a result and can be used in computer monitoring and grinding diagnosing of subsystems on CNC machines.