为了面齿轮的切削、磨削刀具通用化,研究了格林森平面刀具加工面齿轮的数控方法.在获得平面刀具理论运动规律的基础上,简述了格林森数控机床系统的运动自由度,建立了数控系统的坐标系,通过坐标变换、运动等价要求及啮合方程建立了数控系统的运动规律和面齿轮数控加工模型,为降低原理性和数控齿面综合偏差,进一步建立了减小齿面误差的敏感矩阵模型,以修正机床运动规律.齿面仿真结果表明算例中平面刀具加工面齿轮的原理性误为-1.052 mm,相对平面刀具的理论加工方法,数控加工齿面偏差为-12.77μm,修正机床运动规律后,综合齿面偏差降低到了-626.3μm.因此应用敏感矩阵法有利于降低平面刀具加工面齿轮的综合齿面误差和优化机床运动规律.%In order to universalize the tool for face gear cutting and grinding,the CNC method that apply-ing the Gleason works' plane-cutter in face gear manufacturing was investigated. Based on obtaining principle motion rules of the plane-cutter,the freedom of the Gleason works' CNC machine was summa-rized,the coordinate system of the CNC machine was established,the CNC machine motion rule and the generated face gear tooth surface were derived by coordinate transformation,requirement of motion equiv-alence and meshing equation. For the purpose of decreasing the surface composite deviation of principle and CNC,the model of sensitivity matrix for reducing the deviation was further derived to correct the CNC motion rule. The simulation of the tooth surface demonstrates that:in the numerical example,the principle deviation of the face gear tooth surface generated by the plane-cutter is-1. 052 mm,comparing to the theoretical method by plane-cutter, the surface deviation generated by CNC method is -12. 77 um,after the correction of the CNC motion rule, the composite deviation is reduced to -626. 3 um. Hence ,the application of the sensitivity matrix contributes to decrease the composite deviation of the face gear tooth surface generated by the plane-cutter and optimizes the CNC motion rule of the machine tool.
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