Prediction of heat transfer process in helical milling
Prediction of heat transfer process in helical milling
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DOI：
10.1007/s00170-014-5662-5
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
Jie Liu;C. Ren;X. Qin;Hao Li
中科院分区：
文献类型：
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作者：
Jie Liu;C. Ren;X. Qin;Hao Li
建立了螺旋铣削过程中具有导热-对流边界的三维传热模型，描述了铣削过程中固体内部温度随时间的变化规律。根据螺旋铣削的运动机理，提出了两种类型的热源，一种是周边切削刃产生的第一热源，另一种是底部切削刃产生的第二热源。研究了FTHS和STHS对工件温度分布的影响。将FTHS定义为作用在螺旋路径上的一个圆弧;将STHS定义为一条直线，其运动包括绕刀具轴线旋转、绕孔中心旋转和沿轴向沿着移动3种方式。为了准确地研究传热模型，建立了在孔内建立的静止坐标系和在热源内建立的运动坐标系。给出了坐标变换和坐标移动的轨迹。在两个坐标系下，推导了含热源项的非齐次偏微分方程，并采用绿色函数法求解。热源项使用狄拉克δ函数来描述。组织了一系列Ti-6Al-4V的实验尾线。实验结果与模型计算值吻合较好。研究了不同切削参数对切削温升的影响。
This paper represented a three-dimensional heat transfer model which describes the temperature distribution with the time variation in solid with conduction-convection boundary during the helical milling process. On the basis of the kinematic mechanisms of helical milling, two types of heat sources were presented; one was the first heat source (FTHS) resulting from the peripheral cutting edge, and the other one was the second heat source (STHS) resulting from the bottom cutting edge. Both effects of the FTHS and the STHS on the temperature distribution of the workpiece were investigated. The FTHS was defined as one semicircle which acted on a helical path; the STHS was defined as one straight line and the movements of which consisted of three ways: rotating around the axis of the tool, turning around the center of the hole, and moving along the axial direction. In order to accurately study the heat transfer model, a stationary coordinate established in the hole and a moving coordinate established in the heat source were developed. The transformation of coordinates and the trajectory of the moving coordinate had been illustrated. Under the two coordinates, a nonhomogeneous partial differential equation (PDE) containing heat source term was derived and was solved using the Green function approach. The heat source term was depicted using the Dirac delta function. A series of experimental tails for Ti-6Al-4V were organized. The experimental results agreed well with the data calculated using the model. The effects of different cutting parameters on the temperature rise were also investigated.