Abstract: Based on the mechanics analysis method and the force model of oblique cutting element, considering the influences of tool run-out, size effect and cumulative effect on the instantaneous depth of cut in the actual cutting processes, combining the kinematics characteristics of 2D vibration assisted micro-milling, the instantaneous depth of cut model of 2D vibration assisted micro-milling was established according to the differences of cutting forces for shear areas and plough areas. In order to achieve the purpose of vibration assisted machining, based on the self-designed and optimized non resonant 2D compliant vibration stage, the corresponding 2D vibration assisted micro-milling tests of aluminum alloy Al6061 were carried out, the cutting force curves of Al6061 were simulated by MATLAB software, and the correctness of the established 2D vibration assisted micro-milling cutting force model was verified by comparative analysis. Finally, based on the established cutting force model, the influences of vibration amplitude and frequency on the milling forces were analyzed.

Key words: cutting force, size effect, tool run-out, micro-milling, vibration assisted

摘要： 基于力学解析法与斜角切削微元力模型，综合考虑刀具偏心、尺度效应与累积作用对瞬时切削厚度的影响，结合二维振动辅助微细铣削运动学特性，根据剪切区与犁耕区切削力大小不同的特点，建立了二维振动辅助微细铣削切削力模型。为实现振动辅助加工的目的，基于自行设计并优化的非谐振式二维柔顺振动平台，对铝合金Al6061进行了相应的二维振动辅助微细铣削试验研究，并利用MATLAB软件对铝合金Al6061的切削力曲线进行了仿真研究，通过对比分析验证所建立的二维振动辅助微细铣削切削力模型的正确性。最后，基于所建立的切削力模型，分别分析了振幅与振动频率对铣削力的影响规律。

关键词: 切削力, 尺度效应, 刀具偏心, 微细铣削, 振动辅助