Accurate Calculation for Spiral Bevel Gear Generated Cutting Scallop Height
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摘要: 为了控制齿面的加工质量,基于刀倾展成法加工原理,提出一种采用数值法精确计算齿面残留高度的算法。在计算过程中将加工设计参数和加工工艺参数相结合,建立滚切齿面数学模型。该模型确立了刀倾法加工螺旋锥齿轮时齿面残留高度与刀片数量、刀盘转速、摇台转速与摇台转角范围的参数关系。给出具体实例,计算齿面不同取样处残留高度的理论值,预估齿面粗糙度,为实践加工提供参考。残留高度的计算结果与仿真测量结果基本一致,证明该算法的准确性。Abstract: Based on the tilt generated cutting principle,a numerical algorithm of scallop height was proposed to control the cutting surface quality of spiral bevel gears.The cutting process was described as a series of non-continuous cutting movements of blades.The design parameters of cutter blades and cutting process parameters were combined to build the mathematical tooth surface model.The mathematical model established the relationship among the scallop height,the blades number,the cutter rotational speed,the roll rate and the roll rotation angle.According to the mathematical model,scallop heights were computed by numerical algorithm and the influence of cutting process parameters was analysed.A practical example was provided to calculate scallop heights on the different areas of the tooth surface.The tooth surface roughness was evaluated to offer reference for practice.The scallop height calculation results were consistent with simulation measurements to prove the accuracy of the algorithm.
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Key words:
- spiral bevel gear /
- scallop height /
- generated cutting
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