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8
Mardonov Bakhtiyor Teshayevich, Navoi State Mining Institute, Uzbekistan E-mail: [email protected]
CONTROLLING THE ACCURACY OF PROCESSING THE INVOLUTE PROFILE OF THE HEIGHT OF THE GEAR TOOTH WHEELS
Abstract: This article describes the possibilities controlling technological factors and increasing the reliability of the technological process of tooth processing through integrated management accuracy processing based on the functional dependencies of systematic technological factors and deviations of the parameters of gears, where the argument of functional dependencies is the deviation of a single parameter of the gears deviation of the radius of the involute profiles.
Keywords: Toothed wheels, involute tooth surface, roughness, hardness, positioning of allowances, control of the accuracy of processing, management of technological factors.
of the shaver-drawer leads to the formation of errors in the profiles with a sinusoidal law of variation. The nature of the location of the profile error in tooth height depends on the mutual phase position of the direction of geometric eccentricity relative to the cutting comb located in the calibration plane.
When studying the factors causing the errors in profiles, scientists and production workers, the main attention was paid to the calculation and determination of absolute values ffr, characterized by (Mandatory standard industrial) as the distance between the two closest nominal end profiles of the tooth, between which the actual active tooth profile cogwheel. Investigations of the values and character of the location of tooth profile errors in the profile of tooth height, depending on the phase of the action of various systematic technological factors.
To solve the problem of controlling the accuracy of the processing tooth, there is a necessity to solve the problems associated with controlling the size and nature of the location of the errors in profiles.
The results of the studies on the accuracy control of gear tooth profiles are described below.
Introduction
Tooth profile error of the wheel can be estimated not only by the magnitude of deviation from the involute, but also by the nature of the variation in the magnitude of the deviation along the height of the tooth. We have established that every systematic technological factor leads to the formation of a profile error with a certain character of the variation in the profile of the tooth of the wheel [1].
The basis for the search for the dominant technological factor according to the structural scheme shown in Fig. a regression analysis of the study of the relationship between the ■ values of the profile ff in each angular position along
error 1
the height of the tooth with fully defined values ff, to be formed from the action of one of the dominant technological factors. This approach to the search for technological factors made it possible to identify systematic technological factors and to control the influence of individual of them on the magnitude and nature of changes ffr in tooth height.
At a tooth processing with a rolling tool (with shaver)
with dominant technological factor, causing an error in the involute profile, it is often a radial runout j. The radial runout
Figure 1. Structural scheme for searching for dominant technological factors causing deviations in the radius of the involute by the height of the tooth profile of the wheel
Section 10. Technical sciences
Control over the nature of the location of profile errors was carried out at tooth processing straight-toothed cylindrical wheels with rolling tools.
The Control was carried out by changing the phase position of the direction of geometric eccentricity relative to the cutting comb. Table 1 shows the values of the process settings at
Table
tooth processing straight-toothed cylindrical gears. The values of radial beats were tuned by means of special eccentric sleeves. Table 1 shows the theoretical values of the profile error, the angle between min and max, as well as the theoretical values of the angular positions of the profile points with the deviations min and max for each of the axial settings of the rolling tool.
1.
Batch number Wheel parameters Specified radial runout of the tool Theoretical values Angle of deployment between Installation number Axial movements of the tool Side of tooth profile The theoretical values of the angular positions of the points
1 2 3 4 5 6 7 8 9 10 11
1 Left 15 o 33 26 o9
Right 15 o 33 26 o9
2 Left 26 o9 15 o 33
I 4 17 0,20 73 10 o36 Right 26 o9 15 o 33
3 Left 20 o51 31 o27
Right 20 o51 31 o27
4 Left 15 o 33 26 o9
Right 15 o 33 26 o9
1 Left 16 o56 24 o46
Right 16 o56 24 o46
II 4 23 0,24 87 7 o30 2 Left 13 o1 20 o41
Right 13 o1 20 o41
3 Left 24 o46 16 o56
Right 24 o46 16 o56
1 Left 18 o 22 o
Right 18 o 22 o
III 3 45 0,10 36 4 o 2 Left 16 o 20 o
Right 16 o 20 o
3 Left 18 o 22 o
Right 18 o 22 o
1 Left 16 o56 24 o46
Right 16 o56 24 o46
IV 4 23 0,06 22 7 o50 2 Left 13 o1 20 o41
Right 13 o1 20 o41
3 Left 24 o46 16 o56
Right 24 o46 16 o56
Table 2 shows the results of experimental studies on the management of the location of the errors in the profile of the teeth of gears. The table shows the actual values of the angular positions of the points of the profiles with the deviations of
Table
min and max, the values of the errors in the profiles, and also the comparative data between the given theoretical and actual angular positions of the extremely points and the error values of the profiles.
2.
Batch number Installation number Side of tooth profile The actual values of the angular position of points in degrees Deviations of angular position from theoretical values Value Deviations from theoretical values in%
1 2 3 4 5 6 7 8 9
I 1 Left 16 25 0 o27 1 o9 73 0
Right 15 26 0 o33 0 o9 64 12.3
1 2 3 4 5 6 7 8 9
I 2 Left 15 26 0 o33 0 o9 74 1.3
Right 15 26 0 o33 0 o9 65 10.9
3 Left 21 31 0 o51 0 o27 63 13.7
Right 31 21 0 o27 0 o51 55 24.4
4 Left 31 21 0 o27 0 o51 75 2.6
Right 21 31 0 o51 0 o33 70 3.9
II 1 Left 15 22 1 o56 2 o46 83 4.6
Right 17 25 0 o04 0 o14 84 3.4
2 Left 11 19 2 o1 1 o41 87 0
Right 21 12 0 o19 1 o1 80 8.0
3 Left 13 16 1 o46 1 o56 68 24.1
Right 24 15 0 o46 1 o56 68 25.2
III 1 Left 16 24 1 o 2 o 23 36.1
Right 18 24 0 o 2 o 17 52.8
2 Left 20 14 0 o 2 o 31 13.3
Right 14 22 2 o 2 o 23 36.1
3 Left 24 16 2 o 2 o 21 41.7
Right 24 18 2 o 0 o 24 33.3
IV 1 Left 19 26 2 o4 1 o14 24 9.1
Right 19 26 2 o4 1 o14 19 13.6
2 Left 14 22 0 o59 1 o19 21 4.5
Right 22 16 1 o19 2 o59 37 68.7
3 Left 26 19 1 o14 2 o14 16 27.2
Right 225 19 0 o14 2 o14 24 18.2
From the comparative data in (Table 2) it can be seen that the angular positions of the points with the extreme deviations in the errors of the profiles obtained by experimental studies practically coincide with the calculated theoretical values. It can also be seen from the Table 2 that the error values of the profiles obtained experimentally for a given radial runout of the gear-cutting tool are almost close to the theoretical values of the profile errors for the same values of the radial beating of the tool for most cases.
The observed difference in the magnitude of the errors in the profiles, which occurred in individual cases, is appar-
ently due to the instability of the cutting process during tooth machining.
The results of experimental studies have shown that with tooth processing with rolling tools, it is possible to obtain a predetermined character of the location of the profile error by controlling the magnitude and phase position of the running-out of the rolling tool. Conclusion
Experimental studies have also established that it is possible to solve the inverse problem by the nature of the change in the profile error, the height of the tooth by regression analysis determine the dominant systematic technological factor.
References:
1. AlikulovD. E. Investigation ofthe influence of the centering ofworm mills on the accuracy ofthe cut gears. PhD., dissertation. - Tashkent,- 268 p.
