Abstract: It is assumed that the shape of the abrasive grains is spherical, its particle size and height are obeyed Rayleigh distribution, and the abrasive grain contact radius expression is extended by Taylor formula to establish the high-order function curve heat source model of grinding arc region. By comparing and analyzing the fitting error of the third-order function heat source to the sixth-order function heat source model, it is found that when the order of function reaches fifth-order, the error is less than 2.5% and the decreasing degree tends to be gentle. Therefore, a new fifth-order heat source model is proposed. It is found that when the function order reaches the fifth-order, the error value is very small and the degree of decline tends to be gentle, so a new fifth-order heat source model. The new fifth-order heat source model is compared with the traditional rectangular and triangular heat source in the grinding temperature field simulation. The results show that the fifth-order function curve heat source is relative to triangle and rectangular heat sources, regardless of the overall consistency, the highest temperature position of the grinding arc region, or the lag of the measured results. The results are closer to the actual situation, which verifies the correctness and superiority of the high-order function curve heat source model.

Key words: fifth-order heat source model, grinding arc area, heat source distribution, temperature field