1.齿轮相关参数

1.1 模数

，

国标现行标准（截止2024/5）是：

 GB/ 1357-2008 / ISO 54-1996 

模数有国标的一个序列标准：

1.2.轴径

轴径的国标是：GB/T 1800 公差、偏差和配合的基础

这个标准有两卷。原文在国家数字馆可以查阅，但无法全文查阅，

1.3 齿数序列

1.3.1 iso标准（未经确认）

iso_sequence = [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 450, 500, 550, 600]

1.3.2 德标

din_sequence = [12, 17, 20, 25, 32, 40, 50, 63, 80, 100, 125, 160, 200, 250, 315, 400, 500]

1.4 其他信息

1.4.1 其他

来源：微信公众号：金属加工

传动轴的规格标准据说是这样的：

轴的标准尺寸-步长；

25毫米至60毫米-5毫米步长；

60毫米至100毫米-10毫米步长；

110毫米至140毫米-15毫米步长；

140毫米至500毫米-20毫米步长。

然后轴的设计原则是：

2. 实例：

这个名牌好奇怪，没有标记依从的国家标准。

3 穷举程序

import itertools import numpy as np from datetime import datetime #adjust here please: shaft_cnts = 3 gearbox_ratio = 27.71 error = 0.01 #do not modify this number list. iso_tooth_list = [8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 450, 500, 550, 600] def print_time(msg): current_time = datetime.now().strftime("%H:%M:%S") print(msg, ":", current_time) def calcRatio(dumb): result = 1; for i in np.arange(len(dumb)): if(i%2==0): result *= dumb[i+1]/dumb[i] return result; def calc_maybe_tooth(shaftNumber, ratio, error, tooth_list): results = [] print_time("start calc"); for combo in itertools.combinations(tooth_list, shaftNumber*2): if combo[1] > combo[0] and combo[3] > combo[2] and combo[5] > combo[4]: product = (combo[1] * combo[3] * combo[5]) / (combo[0] * combo[2] * combo[4]) if(combo[1]<=2*combo[0]): continue; if(combo[3]<=2*combo[2]): continue; if(combo[5]<=2*combo[4]): continue; if abs(product - ratio) < error: results.append(combo) print_time("end calc"); for result in results: print(result, calcRatio(result)) def test_calc_maybe_tooth(): calc_maybe_tooth(shaft_cnts, gearbox_ratio, error, iso_tooth_list) test_calc_maybe_tooth() 

3.1 结果

start calc : 20:38:49
end calc : 20:39:03
(8, 17, 18, 44, 60, 320) 27.3702
(8, 17, 18, 44, 75, 400) 27.3702
(8, 17, 18, 55, 75, 320) 27.3702
(8, 17, 18, 110, 150, 320) 27.3702
(8, 17, 24, 70, 85, 380) 27.3332
(8, 17, 24, 140, 170, 380) 27.3332
(8, 18, 19, 65, 100, 360) 27.9476
(8, 18, 19, 90, 100, 260) 27.9473
(8, 18, 20, 44, 50, 280) 27.72
(8, 18, 20, 65, 95, 360) 27.9473
(8, 18, 20, 90, 95, 260) 27.9476
(8, 18, 24, 70, 90, 380) 27.3336
(8, 18, 24, 140, 180, 380) 27.3336
(8, 18, 25, 65, 95, 450) 27.9473
(8, 18, 25, 130, 190, 450) 27.9473
(8, 18, 46, 170, 180, 600) 27.7828
(8, 19, 20, 42, 90, 500) 27.3332
(8, 19, 20, 50, 60, 280) 27.3336
(8, 19, 20, 70, 90, 300) 27.3336
(8, 19, 20, 70, 120, 400) 27.3336
(8, 19, 20, 70, 150, 500) 27.3336
(8, 19, 20, 70, 180, 600) 27.3336
(8, 19, 20, 75, 90, 280) 27.3332
(8, 19, 20, 100, 120, 280) 27.3336
(8, 19, 21, 70, 80, 280) 27.3336
(8, 19, 22, 55, 60, 280) 27.3336
(8, 19, 22, 70, 150, 550) 27.3332
(8, 19, 22, 110, 120, 280) 27.3336
(8, 19, 24, 70, 75, 300) 27.3332
(8, 19, 24, 70, 80, 320) 27.3332
(8, 19, 24, 70, 85, 340) 27.3332
(8, 19, 24, 70, 90, 360) 27.3332
(8, 19, 24, 70, 95, 380) 27.3332
(8, 19, 24, 70, 100, 400) 27.3332
(8, 19, 24, 70, 150, 600) 27.3332
(8, 19, 25, 70, 120, 500) 27.3332
(8, 19, 25, 140, 240, 500) 27.3332
(8, 19, 30, 70, 80, 400) 27.3336
(8, 19, 30, 70, 90, 450) 27.3336
(8, 19, 30, 70, 100, 500) 27.3336
(8, 19, 30, 70, 110, 550) 27.3336
(8, 19, 30, 70, 120, 600) 27.3336
(8, 19, 30, 140, 160, 400) 27.3336
(8, 19, 30, 140, 180, 450) 27.3336
(8, 19, 30, 140, 200, 500) 27.3336
(8, 19, 30, 140, 220, 550) 27.3336
(8, 19, 30, 140, 240, 600) 27.3336
(8, 19, 32, 70, 75, 400) 27.3332
(8, 19, 32, 140, 150, 400) 27.3332
(8, 19, 36, 140, 150, 450) 27.3332
(8, 19, 36, 140, 200, 600) 27.3332
(8, 19, 40, 140, 150, 500) 27.3336
(8, 19, 40, 140, 180, 600) 27.3336
(8, 19, 44, 140, 150, 550) 27.3332
(8, 19, 46, 170, 190, 600) 27.7828
(8, 19, 48, 140, 150, 600) 27.3332
(8, 20, 21, 55, 130, 550) 27.52
(8, 20, 21, 80, 110, 320) 27.7705
(8, 20, 21, 110, 260, 550) 27.52
(8, 20, 24, 70, 100, 380) 27.333
(8, 20, 24, 95, 100, 280) 27.3332
(8, 20, 30, 70, 80, 380) 27.3336
(8, 20, 30, 140, 160, 380) 27.3336
(8, 20, 32, 70, 75, 380) 27.3332
(8, 20, 32, 140, 150, 380) 27.3332
(8, 20, 38, 80, 95, 500) 27.0746
(8, 20, 38, 160, 190, 500) 27.0746
(8, 20, 42, 110, 130, 550) 27.52
(8, 20, 42, 220, 260, 550) 27.52
(8, 20, 46, 170, 200, 600) 27.7828
(8, 21, 22, 55, 90, 380) 27.3336
(8, 21, 22, 110, 180, 380) 27.3336
(8, 21, 24, 50, 75, 380) 27.3332
(8, 21, 24, 60, 90, 380) 27.3336
(8, 21, 24, 80, 120, 380) 27.3332
(8, 21, 24, 95, 120, 320) 27.3332
(8, 21, 24, 95, 150, 400) 27.3332
(8, 21, 24, 100, 150, 380) 27.3332
(8, 21, 24, 120, 180, 380) 27.3336
(8, 21, 25, 55, 75, 360) 27.0002
(8, 21, 25, 95, 180, 500) 27.3332
(8, 21, 25, 110, 150, 360) 27.0002
(8, 21, 26, 65, 90, 380) 27.3336
(8, 21, 26, 130, 180, 380) 27.3336
(8, 21, 28, 70, 90, 380) 27.3336
(8, 21, 28, 140, 180, 380) 27.3336
(8, 21, 30, 75, 90, 380) 27.3336
(8, 21, 30, 95, 120, 400) 27.3336
(8, 21, 30, 95, 150, 500) 27.3336
(8, 21, 30, 95, 180, 600) 27.3336
(8, 21, 30, 100, 120, 380) 27.3332
(8, 21, 30, 150, 180, 380) 27.3336
(8, 21, 32, 80, 90, 380) 27.3336
(8, 21, 32, 160, 180, 380) 27.3336
(8, 21, 34, 85, 90, 380) 27.3336
(8, 21, 34, 170, 180, 380) 27.3336
(8, 21, 36, 95, 100, 400) 27.3332
(8, 21, 36, 95, 150, 600) 27.3332
(8, 22, 24, 70, 110, 380) 27.333
(8, 22, 24, 95, 110, 280) 27.3336
(8, 22, 25, 70, 100, 360) 27.72
(8, 22, 25, 90, 100, 280) 27.72
(8, 22, 30, 80, 90, 340) 27.3702
(8, 22, 30, 85, 90, 320) 27.3702
(8, 22, 42, 100, 130, 550) 27.52
(8, 22, 42, 110, 130, 500) 27.5204
(8, 22, 42, 200, 260, 550) 27.52
(8, 22, 46, 170, 220, 600) 27.7824
(8, 24, 32, 70, 90, 380) 27.3336
(8, 24, 32, 140, 180, 380) 27.3336
(8, 24, 36, 140, 160, 380) 27.3332
(8, 24, 46, 170, 180, 450) 27.7828
(8, 24, 46, 170, 200, 500) 27.7828
(8, 24, 46, 170, 220, 550) 27.7828
(8, 24, 46, 170, 240, 600) 27.7828
(8, 25, 26, 70, 85, 280) 27.683
(8, 25, 30, 70, 100, 380) 27.3332
(8, 25, 30, 95, 100, 280) 27.333
(8, 25, 38, 80, 95, 400) 27.0746
(8, 25, 38, 160, 190, 400) 27.0746
(8, 25, 40, 140, 150, 380) 27.3332
(8, 26, 38, 90, 100, 360) 27.9473
(8, 26, 40, 90, 95, 360) 27.9473
(8, 26, 46, 170, 260, 600) 27.782
(8, 26, 50, 180, 190, 450) 27.9473
(8, 28, 30, 75, 120, 380) 27.3332
(8, 28, 30, 95, 120, 300) 27.333
(8, 28, 30, 95, 160, 400) 27.333
(8, 28, 30, 95, 180, 450) 27.333
(8, 28, 30, 95, 200, 500) 27.333
(8, 28, 30, 95, 220, 550) 27.333
(8, 28, 30, 95, 240, 600) 27.333
(8, 28, 30, 100, 160, 380) 27.3336
(8, 28, 32, 80, 120, 380) 27.3332
(8, 28, 32, 95, 120, 320) 27.3332
(8, 28, 32, 95, 150, 400) 27.3332

3.2 根据采样数据筛查频点

多看几组数据能够把一级齿轮齿数确定。接下来，顺次向后分析即可。三组不同转速下的数据，基本上就能把齿数算准。这个另开一篇文章进行。