| 渐开线齿廓的月形环面截线逼近 |
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| 引用本文： | 赵学军,李平渊.渐开线齿廓的月形环面截线逼近[J].重庆大学学报(自然科学版),1990,13(3):100-106. |
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| 作者姓名： | 赵学军 李平渊 |
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| 作者单位： | 重庆大学应用数学系
(赵学军)，重庆大学应用数学系(李平渊) |
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| 摘 要： | 本文用月形环面截线逼近渐开线齿廓;用极小极大方法寻找渐开线齿廓的最佳近似月形环面截线参数,逼近误差仅为文1]、2]的35%～70%,从而大大提高了逼近法修整渐开线成形砂轮的逼近精度,为逼近法展现了新的前景。为了简化计算,本文直接运用曲线的隐式表达式定义误差函数,并证明了这种方法的合理性。
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| 关 键 词： | 环面 渐开线齿轮 逼近 极小代极大 |
APPROXIMATION OF INVOLUTE PROFILE BY MOON-SHAPED RING SECTION |
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| Zhao Xuejun Li pingyuan.APPROXIMATION OF INVOLUTE PROFILE BY MOON-SHAPED RING SECTION[J].Journal of Chongqing University(Natural Science Edition),1990,13(3):100-106. |
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| Authors: | Zhao Xuejun Li pingyuan |
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| Institution: | Zhao Xuejun Li pingyuan |
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| Abstract: | In this paper,we study the approximation of involute profile by moor-shaped ring section. By using the minimax method, we find parameter of the best approximation moon-shaped ring section of invelute piofile. The error of approximation is 35% - 70% that of 1] and 2]. Thus the approximation precision of dressing a wheel for involute gear forming-grinding by approximating method has been greatly improved. In order to simplify calculation, the error function is defined according to the implicit equation of curve and its rationalization is proved. |
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| Keywords: | ring surface involute profile approximation minimax |
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