平底立铣刀高速铣削切削力解析建模

Analysis Modeling of Cutting Force in High-speed Milling Process for Flat End Mill

在高速铣削过程中,切削力对刀具的寿命具有重要影响,因此切削力的预测显得尤为重要。首先按照斜角切削模型,将平底立铣刀侧刃沿轴向进行微分,基于铣刀真实切削刃轨迹,计算出单齿瞬时切削厚度,并以角度积分确定积分限的方法建立了侧刃的切削力模型。然后根据直角切削模型,将横刃沿垂直切削刃方向上微分,计算得到微元切削力,通过积分法建立了横刃切削力模型。合并二者建立切削合力模型。最后将切削力解析模型通过Matlab程序化,获得不同切削参数下的切削力仿真曲线。仿真结果表明:解析切削力曲线与实测切削力曲线吻合较好,仿真值与实测值的最大误差为7.14%。

In the process of high-speed milling, cutting force has a very important impact on tool life. This paper focused on modelling the cutting force in high-speed milling. According to oblique cutting model, a cutting force model of flank edge was presented firstly. Differential method was used in this process. The model was approached with calculating instantaneous chip thickness based on real tooth trajectory. Secondly, the cutting force model of chisel edge was adopted with the method of integral. The chisel edge was divided into millions of micro-units along. the direction that is normal to cutting edge. We got the cutting force of every unit. Then the model of chisel edge cutting force was gotten by means of integration. Force of the flank edge and the chisel one were combined. In the end, the model was programmed by means of Matlab. The result indicates that the numerical results agree well with the experimental data, the maximum error is 7. 14 percent between simulation and the experiment.