Abstract

A calculating method of tooth contact marking of involute helical gears is shown with the following results: 1) When the shape of composite gear error surface of a pair of involute helical gears is mathematically similar and the ratio between amplitude and the transmitting load is kept constant, the pattern of tooth contact marking does not change and the state of tooth loading distribution is similar. 2) When a pattern of tooth contact marking is the same, the ratio of stress increase owing to gear error is almost the same. Some restricting conditions for these two theorems are indicated. Measured and calculated tooth contact markings and tooth fillet stresses of gears which have concave tooth form error and simultaneous longitudinal crowning of tooth trace correction verify the propriety of these two theorems.

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