Spherical involute straight-tooth bevel gear pair and tooth profile modification method thereof
A spherical involute, straight-toothed bevel gear technology, applied in the direction of belts/chains/gears, components with teeth, portable lifting devices, etc., can solve problems such as insufficient modification, modeling method errors, excessive modification, etc. , to achieve the effect of improving meshing quality and service life, reducing vibration and noise
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Embodiment 1
[0064] Such as figure 2 Shown: Section AD is the theoretical spherical involute, plane P is the occurrence surface of the spherical involute, cone OO1A is the base cone of the spherical involute, O is the apex, B is the starting point of the modification, and the tooth profile after modification Divided into two sections, the AB section is the theoretical spherical involute, and the BD' section is the spherical modification curve;
[0065] Establish a global Cartesian coordinate system S, where the origin of the coordinates is the vertex O of the base cone, define the direction of the vector OO1 as the z-axis, define the direction of the vector O1A as the x-axis, and define the directions of the z-axis and the x-axis as y according to the right-hand rule Axis, spherical involute derivation is common knowledge, this application does not make specific derivation, and directly gives the conclusion:
[0066] The spherical involute of segment AB, its equation is:
[0067]
[...
Embodiment 2
[0107] Such as image 3 As shown, considering that the small end modulus and tooth height of the bevel gear are small, the BC arc length of the part of the spherical involute that needs to be modified here usually does not exceed 0.1, as shown in image 3 The calculation of the method can completely achieve the same technical effect, and can simplify the calculation and improve the work efficiency. In order to simplify the modeling, only the theoretical spherical involute tooth apex C is calculated according to the method in the specific embodiment 1. The coordinate point C' after the tooth top modification , the modification curve BC′ is a section of a great circle inferior arc connecting the tooth tip modification point C′ and the modification starting point B on the spherical surface of the sphere where the spherical involute is located; its equation is easy to obtain, and the three-dimensional modeling is also extremely convenient; Fig. Among them, segment AC is the theore...
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