SU1404213A1 - Method of diagonal gear-tooth milling of wheels having barrel-shape teeth - Google Patents

Abstract

The invention relates to metal working and may find application in the machining of gear wheels with barrel-shaped teeth. The purpose of the invention is the expansion of technological capabilities through the creation of conditions for obtaining barrel-shaped teeth, which are outlined by various curves. The billet 1 of a gear wheel with barrel-shaped teeth is processed by a screw mill 2 under rolling conditions (with a consistent rotation around its axis). Cutter 2 is additionally reported by two translational movements: along its axis (direction P) and along the axis of the workpiece (direction P). Movement along its mill axis is reported with a variable speed determined from the ratio () ± l (d {f: cos qi: dt), where VQ is the speed of the mill along its axis, mm / min; V is the speed of movement of the cutter along the axis of the workpiece, mm / min; b - width of the gear rim of the cut wheel, mm; 1F - the length of the working part of the cutter; cTf is the deviation of the barrel-shaped tooth from the direct functionally depending on the movement of the mill along the axis of the workpiece, mm; angle of inclination of the cutter axis in the plane of rotation of the workpiece, equal to the angle of lifting the turns of the cutter; t - time, min. 2 Il. € (L 1 about 4 GO with

Description

The invention relates to the field of metalworking and can be used in the machining of gear wheels with barrel-shaped teeth.

The purpose of the invention is the expansion of technological capabilities by creating conditions for obtaining barrel-shaped teeth, outlined by various curves.

, FIG. Figure 1 shows a diagram of the diagonal gear milling of a wheel with barrel-shaped teeth; in fig. 2 is a schematic of a single tooth,

Diagonal gear milling of wheels with barrel-shaped teeth is carried out under rolling conditions, i.e. during processing, the workpiece 1 and the screw-cutting mill 2 are reported to have uniform rotational movements, respectively, B, and B around the axes 00 and, simultaneously, the mill 2, report uniform translational movement P, at speed V along axis 00 of the workpiece and uneven translational movement of P. at speed V along its axis OiOi,

For the formation of a barrel-shaped tooth by diagonal milling between, c and translational movements of the cutter, the ratio

. - one ,

0b cost /

 where Ig is the movement of the cutter along its axis, mm;

1- movement of the cutter along

billet axis, mm;

b - the width of the ring gear on. mm cut wheel;

l (j - moving the cutter along

its axis during its movement along the axis of the workpiece at a distance b at 1 °, i.e. diagonal gear milling of a wheel with straight teeth, mm; / - barrel deflection

tooth from straight in section, spaced 1p from the end of the workpiece, i.e. corresponding to the movement of 1 cutter along the axis of the workpiece, mm; 1 | - the angle of inclination of the mill axis in

the plane of rotation of the workpiece, equal to the angle of lifting the turns of the cutter.

(one)

The value 1 is taken less than the working length of the cutter by an amount equal to or greater than the maximum deviation of the barrel tooth Mtxv-c from the straight tooth.

 The deviation of 5 barrel-shaped teeth from a direct tooth is variable: it continuously changes as the cutter moves along the axis of the workpiece. With this in mind, let's differentiate expression (1) by time:

Ek - Y1 ik - i-TH

dt dt b cosif dt

(2).

or

V ii. L „. d

b with C dt

de v

 die 0 dt

V

dl dt

. ". Ef

cos (f dt "

the speed of movement of the cutter along its axis, mm / min;

the speed of uniform movement of the cutter along the axis of the workpiece, mm / min; change in the speed VP of the cutter movement along its axis, necessary for the formation of a barrel-shaped tooth, mm / min.

The expression for & M is specified based on the shape of the teeth being cut. For example, if the sweep of a section of a barrel-shaped tooth on a dividing cylinder of a gear wheel is outlined with a radius R, then the value of cG is expressed by the dependence

with R (l -cosarcsin -A | ----), (3)

to

where is the trend value of the cutter movement from the end of the workpiece, mm.

V,

Then

 -, - Y11 -: -, Og5b1 ,. Y (

Cos

)

v "-v (

Therefore, in this case, 11h - „-„ ikO ± 5bl ..

  cos 1 lmots

31А042

The processing of the wheel with barrel-shaped teeth can be carried out in one or two passes. During two-pass machining, one of the sides of the teeth is processed on each of the passes, and during the first pass, the speed of movement of the cutter along its axis varies according to

V "V -" b

+ dV

about

3

.V.1L

v

ten

Hjs

li

the speed of movement of the cutter along its axis when cutting straight teeth;

S is the feed of the cutter along the axis of rotation of the workpiece, mm / rev of the workpiece. Consequently

aisle

- YU „.

- no dependency (6)

In one-pass processing, the speed Vp periodically, after each turn of the workpiece, is changed from (5) to (6) and back, and within one turn of the workpiece is changed according to (5) and c. within the following limits (6). Two-pass machining provides less roughness of the side surfaces of the cut teeth. Because

1c

/ iVj "V -G-, then, in any of the considered processing schemes according to the pre-agae method, the shaping of barrel-shaped teeth is carried out by irreversible translational movements,

For processing with barrel-shaped teeth according to the proposed method, the axis 00 of rotation of the milling cutter is set at an angle c to the plane of rotation of the workpiece, equal to the angle o) of the lifting of the turns of the milling cutter. The frequency of rotation of the milling cutter PF is adjusted based on its calculated value of p., Which is determined by the known formula

n

100V

Tg

where VP is the cutting speed, m / min;

d is the external diameter of the freeze, mm. The frequency of rotation, rpm, of the workpiece p, is adjusted to equal its frequency of rotation when cutting straight teeth, i.e.

by K

V with sozhR

where K Z

-number of cutters;

- number of teeth cut

B: J5 + Z 1G mZb

(7)

15

(6)

or

-EiK

z (i-s

l coslf

b TmZ

)

(eight)

According to (7), the rotational speed of the workpiece is determined if the minute feed of the milling cutter is used along the axis of the workpiece, and according to (8), if this feed is specified in mm / rev of the workpiece.

Claims (1)

Formula invented and The method of diagonal gear milling of wheels with barrel-shaped teeth under the conditions of rolling with a worm-milling cutter, which is reported by consistent translational movements along its axis and along the axis of the machined wheel, characterized in that with variable speed determined by dependency „- V ii ± b cosM dt, where Vjj is the speed of movement of the mill along its axis, mm / min; V is the speed of movement of the cutter along the axis of the workpiece, mm / min; 1f - the length of the working part of the cutter, mm; b - the width of the gear rim of the cut wheel; If - the angle of inclination of the mill axis to the plane of rotation of the workpiece;  - deviation of the barrel-shaped tooth from the straight, mm; t - time, min. 0 u /.