Effect of thermal error of Y-axis screw on the accuracy of envelope milling
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摘要: 基于包络铣齿和齐次坐标变换原理，建立包络铣齿热误差对齿廓误差影响分析模型。分析了机床结构与加工特点确定机床丝杠热特性。将丝杠热变形量代入机床误差传递矩阵中，获得刀具螺旋面偏差，研究了丝杠热膨胀与齿廓误差的关系。结果表明：丝杠轴向热膨胀会引起刀具螺旋面产生偏移，造成相应的齿廓误差。Abstract: Based on the theory of envelope milling and homogeneous coordinate transformation, an analytical model of the influence of envelope milling gear thermal error on tooth profile error is established. The structure and machining characteristics of the machine tool are analyzed to determine the thermal characteristics of the machine tool lead screw. The thermal deformation of the lead screw is substituted into the machine tool error transfer matrix to obtain the tool helix deviation, and the relationship between the thermal expansion of the lead screw and the tooth profile error is studied. The results show that the axial thermal expansion of the lead screw will cause the deviation of the tool helical surface and the corresponding tooth profile error.
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Key words:
- envelope milling /
- thermal error /
- tool helix /
- tooth profile error
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表 1 丝杠进给系统材料特性
材料 弹性模量/GPa 热膨胀系数/(m/℃) 泊松比 导热系数/(m·℃) 密度/(kg/m3) 比热/[J/(kg·℃)] 灰铁HT300 130 1.12×10-5 0.25 39.2 7 300 460 45钢 207 1.2×10-5 0.3 50.2 7 850 480 Q235 120 1.1×10-5 0.25 60.4 7 850 502 
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表 2 丝杠进给系统热边界条件参数
参数名称 加载数据 轴承生热率/(W/m3) 3.93×105 丝杠螺母副生热率/(W/m3) 1.19×105 电机热流密度/(W/m2) 4 087 轴承支座对流放热系数/[W/(m2·℃)] 10.5 丝杠螺母支座对流放热系数/[W/(m2·℃)] 30 丝杠对流放热系数/[W/(m2·℃)] 90 结合面传热系数/[W/(m2·℃)] 293.7
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