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基于0°压力角齿条的渐开线齿形铣削轨迹规划方法

Milling Path Planning Method of Involute Tooth Profile Based on 0 Degree Pressure Angle Rack
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摘要 根据渐开线齿轮齿条的啮合原理,以0°和20°压力角齿条与渐开线圆柱直齿轮啮合为研究对象,获得两种齿轮齿条啮合数学模型,通过坐标矩阵变换,分别利用棒铣刀和球面铣刀模拟齿条的一个齿面,将齿条与齿轮在啮合过程中的相对运动转化为铣削齿轮时铣刀和齿轮轴的相对运动.将这种铣刀与齿轮轴的运动关系与四轴加工中心的各运动轴相结合,获取两种不同的齿轮铣削加工轨迹,比较分析得出以0°压力角齿条与渐开线圆柱齿轮啮合为研究对象所获得的加工轨迹更简洁,加工中心各轴的运动复杂度更低,是一种更优的齿轮齿面铣削轨迹规划方法. According to the meshing principle of the involute gear rack,the meshing of rack and spur gear with 0 degree and 20 degree pressure angle is studied,two different mesh models are obtained.According to coordinate matrix transformation,a tooth surface of a gear rack is simulated by a bar milling cutter and a spherical milling cutter,the relative movement of the gear rack and the gear in the meshing process is transformed into the relative motion of the milling cutter and the gear shaft.Combining the movement of the gear shaft with the milling cutter and the motion axes of the four-axis machining center,acquisition of two different gear milling process through comparative analysis,the processing path of gear milling path planning method based on 0 degree pressure angle rack and the involute cylindrical gear meshing is more concise;the motion complexity of each axis of the machining center is lower;the method of gear tooth surface milling path planning is more suitable.
出处 《三峡大学学报(自然科学版)》 CAS 2016年第3期86-89,103,共5页 Journal of China Three Gorges University:Natural Sciences
基金 湖北省杰出青年基金资助项目(No.2013CFA022) 湖北省科技支撑计划对外科技合作资助项目(N0.2015BHE026)
关键词 坐标变换 齿轮铣削 轨迹规划 coordinate transformation gear milling trajectory planning
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