假设砂轮磨粒形状为圆锥形,其突出高度服从瑞利分布,在磨削过程中均参与切削且切除材料。在此基础上,推导出在平面磨削过程中与磨削参数和砂轮磨粒密度相关的未变形磨屑厚度的计算表达式。磨削力包括磨削变形力和摩擦力2部分。基于未变形磨屑厚度的计算表达式,推出磨削变形力的计算表达式;考虑摩擦系数是关于磨削参数的函数而非某一常值,得到摩擦力的计算表达式。综合上述2种计算表达式,建立磨削力预测模型。然后,通过将预测值与实验数据进行对比分析,得出预测值与实验值的最大相对误差小于25%,平均相对误差小于15%,从而验证了该预测模型能有效地预测磨削力。
Assume that the shape of abrasive grain is conical and its prominent height submitted to Rayleigh distribution,and all prominent grains are involved in cutting and removal of workpiece materials in the grinding process. On this basis, calculated expression of undeformed grinding thickness during the process of surface grinding associated with the grinding parameters and the abrasive density was deduced. The grinding force comprises two parts, deformation force and friction force. Based on the calculation expression of the thickness of undeformed chip, the deformation force expression was deduced; considering that the friction coefficient was a function about grinding parameters rather than a constant value, the expression of friction was obtained. Taking these two calculated expressions into consideration, the predictive model of grinding force was built. Then, the predicted values and the experimental values were compared and analyzed. The results show that the maximum relative error is less than 25%, and the average relative error is less than15%, which proves that the predictive model can effectively predict the grinding force.