二维振动铣削切削厚度及刀尖轨迹数值仿真

通过分析二维振动铣削条件下刀尖运动轨迹特点，利用椭圆方程与旋转矩阵建立了描述刀尖运动轨迹最大轮廓的数学模型，在刀具同一转角下，运用距离间计算公式求得任意转角下的切削厚度值。通过对不同加工参数下刀尖轨迹数值仿真分析，获得了实现理想刀尖轨迹和切削厚度曲线的条件，从而为二维振动铣削的理论研究打下基础。

Numerical Simulation of Chip Thickness and Tool Tip Path in Two Dimensional Vibration Milling

Through the analyses of the characteristics of tool tip path in two dimensional vibration milling, a mathematical model of maximum contour line of tool path was built by using elliptic equation and rotation matrix.In the same tool angle,chip thickness could be calculated by using the distance formula. The tool tip paths of two dimensional vibration milling with different vibration parameters were simulated and analyzed.According to the results,the conditions of realizing the ideal tool path and chip thickness curve were summarized,which provides a good basis of the theory research in two dimensional vibration milling.