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盘刀加工等基圆锥齿轮的刀具位姿及运动轨迹计算
引用本文:王斌,邓效忠,贾新杰,李更更. 盘刀加工等基圆锥齿轮的刀具位姿及运动轨迹计算[J]. 中国机械工程, 2013, 24(19): 2664-2670
作者姓名:王斌  邓效忠  贾新杰  李更更
作者单位:1.西北工业大学,西安,7100722.河南科技大学,洛阳,471003
基金项目:国家自然科学基金资助项目(51075121)National Natural Science Foundation of China(No. 51075121)
摘    要:为了实现使用盘形铣刀数控加工等基圆曲线齿锥齿轮,基于等基圆曲线齿锥齿轮理论,通过建立盘形铣刀加工数学模型,求解了决定刀具空间姿态的主要参数。通过盘形铣刀刀轴矢量、刀心坐标的求解,得到了轮坯坐标系下的刀位。结合通用五坐标数控机床,求得了五坐标数控加工等基圆锥齿轮运动轨迹的表达式。通过三维造型,对刀位求解进行了分析验证;通过仿真切削加工,验证了运动轨迹的正确性。结果表明,利用盘形铣刀数控加工等基圆锥齿轮的刀具位姿、运动轨迹的求解正确,在通用数控机床上利用盘形铣刀能够加工等基圆曲线齿锥齿轮。

关 键 词:等基圆锥齿轮  盘形铣刀  刀轴矢量  刀心坐标  刀具轨迹  

Calculation of Tool State and Trajectory Processing Equal Base Circle Bevel Gear Using Disc Cutter
Wang Bin,Deng Xiaozhong,Jia Xinjie,Li Genggeng. Calculation of Tool State and Trajectory Processing Equal Base Circle Bevel Gear Using Disc Cutter[J]. China Mechanical Engineering, 2013, 24(19): 2664-2670
Authors:Wang Bin  Deng Xiaozhong  Jia Xinjie  Li Genggeng
Affiliation:1.Northwestern Polytechnical University,Xi'an,7100722.Henan University of Science and Technology,Luoyang,Henan,471003
Abstract:The purpose of this paper was to achieve NC machining the equal base circle bevel gear with a disc cutter. Based on the equal base circle bevel gear theory, through establishing the disc cutter processing coordinate system of a special bevel gear, the main parameters which decided tool's position and posture were solved. By calculating the disc cutter shaft vector and cutter heart coordinates, the calculation results of tool position in the gear blank coordinate system were obtained. Combined with general five axis NC machine tool, the general coordinate expression of NC machining this kind of gear was obtained. Through 3D modeling, the calculation results of tool position and state were verified. Through the simulation of machining, the correctness of the tool trajectory was verified. The results show that the solution of motion trajectory is correct, machining the equal base circle bevel gear with a disc cutter is feasible.
Keywords:equal base circle bevel gear  disc cutter  cutter shaft vector  cutter heart coordinate  tool path  
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