Compound modification scheme of helical gear

In order to further reduce the transmission error of the helical gear pair, it is necessary to consider the composite modification based on the optimal modification scheme of the tooth profile. Table 1 shows the optimization scheme of tooth profile modification after analysis and screening.

ProgrammeModification modeModification amount of driving wheel(μm)Modification amount of driven pinion(μm)Transmission error(μm)Hertz contact stress (N/mm2)
1Unreformed000.319553.412
2Tooth profile drum330.284546.239
3Involute540.3518.615
4Arc540.274525.853
5Polyline arc330.265532.917
6Linearity330.263517.134
7Tooth profile drum300.267477.279
8Tooth profile drum030.279465.386
9Arc030.327519.942
10Involute030.330513.825
11Polyline arc030.330529.8

Because the idea of composite modification is to continue to consider whether the transmission error and Hertz contact stress of the helical gear pair can be further optimized by the tooth direction composite modification based on the optimization scheme of tooth profile modification, the optimization scheme of tooth direction drum modification that can only reduce the transmission error of the helical gear pair is not listed in Table 1. The final composite modification simulation scheme is shown in Table 2.

ProgrammeTooth profile modificationModification amount of driving wheel(μm)Modification amount of driven pinion(μm)Tooth modificationModified gearModification range(μm)Shaping accuracy(μm)
1Tooth profile drum33Tooth direction drumwheel & pinion3-251
2Tooth profile drum33Tooth direction drumpinion3-251
3Tooth profile drum33Tooth direction drumwheel3-251
4Involute54Tooth direction drumwheel & pinion3-251
5Involute54Tooth direction drumwheel3-251
6Involute54Tooth direction drumpinion3-251
7Circular arc54Tooth direction drumwheel & pinion3-251
8Circular arc54Tooth direction drumwheel3-251
9Circular arc54Tooth direction drumpinion3-251
10Broken line circular arc33Tooth direction drumwheel & pinion3-251
11Broken line circular arc33Tooth direction drumwheel3-251
12Broken line circular arc33Tooth direction drumpinion3-251
13Linear33Tooth direction drumwheel & pinion3-251
14Linear33Tooth direction drumwheel3-251
15Linear33Tooth direction drumpinion3-251
16Tooth profile drum30Tooth direction drumpinion3-251
17Tooth profile drum03Tooth direction drumwheel3-251
18Circular arc03Tooth direction drumwheel3-251
19Involute03Tooth direction drumwheel3-251
20Broken line circular arc03Tooth direction drumwheel3-251
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