spiral bevel gear

In the process of gear transmission, the rotation angle of each tooth of the driven gear can be expressed as:

When considering the deformation of gear teeth under load, the basic meshing equation shall be rewritten as: Δ r2、 Δ

According to the contact conditions of the contact points, the contact equation of the contact boundary contact point pair can

The two elastic contact bodies Ω 1 and Ω 2 are separated into two independent objects. According to the elastic

Spiral bevel gear is point contact in theory. After bearing, the contact area becomes surface contact due to elastic deformation.

The actual contact part on the tooth surface of a pair of bevel gears under normal meshing operation conditions is

Spiral bevel gear is point contact conjugate transmission. Under light load, the gear pair forms an elliptical contact area near

According to the establishment of coordinate system and spatial matrix transformation, such as the distance from any point of wheel

At present, most of the spiral bevel gears used in China adopt the American Gleason gear system, and its design

i02 is the roll ratio of the machine tool and the process pitch cone of the spiral bevel gear. As

In the process of spiral bevel gear machining, the large wheel often adopts the generating method and forming method, and

When two moving surfaces s (1) and S (2 When two moving surfaces s (1) and S (2) are driven,

When two surfaces s (1) and S (2) are completely conjugate, their relative curvature at the contact point is called

When two tooth surfaces mesh, the two tooth surfaces must be tangent at a point m in space. It can

Let s (T) be a surface moving continuously in space, u and V are its surface parameters. When expressed by

According to the processing principle of spiral bevel gear, to process the bevel gear on the NC machine tool shown

The machine tool adjustment of the variable method for machining the small wheel is shown in the figure, and the

Tool position calculation is to calculate the position and attitude of the tool relative to the workpiece (referred to as

The pitch distance of the production wheel is R01, the helix angle β 01, and the rolling correction coefficient of

When the small wheel is machined by the variable method, the tooth profile angle of the small wheel cutter head

The normal curvature and short-range torsion of the tooth surface of the pinion at the calculated point M are as

Let the angular velocities of large and small wheels are: ω G2 and ω G1: The speed of the big

The right-hand wheel and the left-hand production wheel are an aligned hyperboloid gear pair, and the tooth surface of the

When the parameters of the motion law of the machine tool are determined, the motion equations can be formed by

The process pitch cone node of the spiral bevel gear coincides with the design pitch cone node, the pitch cone

The workpiece coordinate system is established by taking the installation surface of the workpiece gear as the coordinate plane and

The axial section of the cutter head is made, and the coordinate system is established as shown in the figure.

Establish the coordinate system as shown in the figure according to the geometric model of the machine tool. Among them,

When the gear pair is driven, the meshing point of the tooth surface expands into an approximate elliptical contact area

The flexibility matrix method is used to solve the three-dimensional elastic contact problem. The solution of the contact problem of

The obtained normal curvature and short-range torsion Aa1, BA1 and CA1 are along the direction of EA1 and TA1. Let

Because the research idea is novel, the electromechanical combination involves a wide range, and needs solid mathematical theoretical knowledge, especially