To evaluate the accuracy and reliability of the helical gear parameter detection method, five sets of standard helical cylindrical gears were selected to compare and verify the dimensions measured by this method with the actual dimensions of the helical gear manufacturer. The comparison results are shown in the table below.
Group
Tooth tip circle diameter detection value/mm
Actual value of tooth tip circle diameter/mm
Relative error of tooth tip circle diameter
Detection value of tooth root circle diameter/mm
Actual value of tooth root circle diameter/mm
Relative error of tooth root circle diameter
1
34.80
34.96
0.46%
27.90
27.81
0.32%
2
34.66
34.96
0.86%
27.88
27.81
0.25%
3
46.50
46.62
0.26%
37.15
37.08
0.19%
4
47.03
46.62
0.88%
36.98
37.08
0.27%
5
46.62
46.40
0.47%
37.12
37.24
0.32%
Group
Tooth count detection value
Actual number of teeth
Modulus detection value/mm
Actual value of modulus/mm
1
20
20
1.5
1.5
2
20
20
1.5
1.5
3
20
20
2.0
2.0
4
20
20
2.0
2.0
5
20
20
2.0
2.0
Group
Rotation detection value
Rotation actual value
β Detection value/(°)
β Actual value/(°)
Relative error
1
Sinistral rotation
Sinistral rotation
19.28
19.31
0.16%
2
Sinistral rotation
Sinistral rotation
19.47
19.31
0.82%
3
Dextral rotation
Dextral rotation
19.22
19.31
0.46%
4
Dextral rotation
Dextral rotation
11.99
12.08
0.75%
5
Dextral rotation
Dextral rotation
12.11
12.08
0.25%
The experiment showed that the edge detection fitting based on Canny operator was used to detect the parameters of helical gears. The final detection results showed no errors in the number of teeth and modulus, with an average relative error of 0.59% for the tooth top circle, 0.27% for the tooth root circle, and only 0.49% for the spiral angle detection, meeting the requirements of engineering detection.
