According to the end face coincidence degree εα Coincidence with axial direction εβ The variation of the length of the contact line on the meshing plane of a helical gear transmission can be divided into two situations, as shown in the figure.
At εα≤εβ The length of the helical gear transmission contact line can be expressed as:
At εα＞εβ The length of the helical gear transmission contact line can be expressed as:
Where: Tm – meshing period;
ceil（ εγ）—— Greater than εγ The smallest integer of;
Pbt – End face pitch.
According to the contact line length percentage method, the quasi static load on the tooth surface of helical gears is:
Total length of contact wire at a certain meshing time t:
Normal load acting on the meshing tooth surface of a helical gear:
