The basic law of gear meshing 2
The intersection point P between the common normal nn of the two meshing tooth profiles at the contact point and the connecting center line O1O2 of the two gears is the relative instant center of the two gears, so the transmission ratio of the two gears at this time is
From this formula, we know that the gear ratio of a pair of meshing gears at any position is composed of two line segments divided by its connecting center line O1O2 by the common normal line of the corresponding meshing tooth profile at the contact point. Inversely. This law is called the basic law of tooth profile meshing. According to this law, it can be known that the instantaneous transmission ratio of a gear is related to the shape of the tooth profile, and the transmission ratio of the gear can be determined according to the tooth profile curve; on the contrary, we can also determine the tooth profile curve according to the given transmission ratio.
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