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高阶滚比修正系数对弧齿锥齿轮齿面形状的影响规律

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基于弧齿锥齿轮齿面数学模型,引入高阶滚比修正系数,采用矢量运算与二元迭代的方法,对齿面进行了离散化处理,计算了各离散点的齿形偏差.分析了各阶滚比修正系数的改变对弧齿锥齿轮齿面形状的影响规律,绘制了齿面误差拓扑图,表示了误差齿面相对于理论齿面的偏离方向以及误差值的大小.基于齿面误差的模型,采用最小二乘法,计算了弧齿锥齿轮齿面在各阶滚比修正系数改变下的敏感系数,分析了各阶滚比修正系数对齿面形状的影响类型和程度,为弧齿锥齿轮实际加工过程中齿面几何形状的调整和齿形误差的修正提供了理论依据.通过实际的磨齿加工和测量,验证了齿面数学模型与齿面误差拓扑图结果的正确性.
Effect of high-order roll ratio correction coefficient on tooth surface shape of spiral bevel gear
Based on the mathematical model of the tooth surface of the spiral bevel gear,the high-order roll ratio correction coefficient was introduced,the vector calculation and binary iteration methods were adopted to discrete the tooth surface,and the tooth profile deviation of each discrete point was calculated.The influence of the change of the correction coefficient of each order on the tooth surface shape of the spiral bevel gear was analyzed,and the tooth surface error topology diagram was drawn to show the deviation direction of the error surface from the theoretical tooth surface and the magnitude of the error value.Based on the model of tooth surface error,the least square method was used to calculate the sensitivity coefficient of the tooth surface under the change of the correction coefficient of each order.The influence type and degree of each order of correction coefficient on the tooth surface shape was analyzed,which provided a theoretical basis for the adjustment of tooth surface geometry and the correction of tooth profile error in the actual machining process of spiral bevel gear.The correctness of the tooth surface mathematical model and the tooth surface error topology is verified by actual grinding and measurement.

high-order roll ratio correction coefficientspiral bevel geartooth profile deviationerror sensitivity coefficient

李文龙、段志宏

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长沙津一凯帅精密机械有限公司,湖南 长沙 410100

中南林业科技大学,湖南 长沙 410100

高阶滚比修正系数 弧齿锥齿轮 齿形偏差 误差敏感系数

2024

现代机械
贵州省机电研究设计院,贵州省机械工程学会

现代机械

影响因子:0.172
ISSN:1002-6886
年,卷(期):2024.(1)
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