spiral bevel gear

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

According to the spiral bevel gear CNC machine tool of Gleason Company, the geometric model of the CNC machine tool

The basic ideas of finite element analysis are summarized as follows 1) The continuous structure is discretized into a calculation

In the process of planetary carrier transmission, the axis of planetary gear will be offset, and the load distribution in

The contact analysis of meshing gears of planetary gear train is carried out by using transient dynamic model. To simplify

The main failure modes of gear transmission are tooth surface pitting and tooth fracture. The working time of the reducer

For the non-circular gear, assuming that the radius of the imaginary flat top gear is equal to the spherical radius

Because the coordinate system of milling cutter head is not the coordinate system of CNC machine tool, but also requires

For bevel gear, pitch curve is circular, and each tooth is the same. During machining, the starting position of the

The 3D models of nutation inner and outer bevel gears are imported into the finite element analysis software and assembled.

Fatigue strength constraint The nutation bevel gear adopts the basic tooth profile of GB / T 12759-1991 double circular arc

The single-stage nutation reducer is designed with the radial size less than 108 mm, the transmission power of 20 kW

The wobble of a coin on the table before it stops is nutation. A nutation transmission mechanism is formed by