Scientific progress volume ǀ issue ǀ

ǀ
ISSUE 2 
ǀ
2022 
ISSN: 2181-1601
Uzbekistan
 
www.scientificprogress.uz
 
Page 689
surface can be established on the basis of experimental studies of the change in the 
depth of penetration of the roller into the surface of the part in both cases. 
CONCLUSIONS 
1. The actual scientific problem of technological assurance of the quality of the 
surface layer is substantiated and solved, which consists in the development of the 
theory of processing machine parts with rollers and the creation on this basis of a 
scientific and methodological base covering the technological preparation of production, 
the manufacture of advanced processing tools and technological support. 
2. A mathematical model has been developed for determining the parameters of the 
contact zone, taking into account the influence of the dimensions and type of the 
machined surface (hole, shaft, plane) and deforming elements of arbitrary shapes and 
sizes. Dependences are obtained to determine the change in the half-width of the contact 
on its length, contact area, contact surface area and volume of the contact zone. The 
relationship between the dimensions of the deforming elements and the parameters of 
the contact zone is determined on the basis of a direct and inverse problem. The ratio 
between the deforming elements used for shafts and holes is determined, providing 
equivalent indicators of the quality of the machined surface. 
3. It has been established that at the same depth of penetration of the deforming 
element into the surface of the part, the dimensions of the contact area change 
significantly in the range of increasing machining diameters up to 120 mm. With an 
increase in the diameter of the shaft, the dimensions of the contact increase, and when 
machining a hole, they decrease. With an increase in the size of the deforming elements 
and a given diameter of the part, the dimensions of the contact increase both when 
machining a hole and when machining a shaft. A given contact can be obtained by 
different sizes of deforming elements. At the same time, the depth of penetration and the 
volume of the contact zone change. With a decrease in the radius of the deforming 
element, the volume of contact and the depth of penetration of the element increase and 
vice versa. 
4. Studies of the relationship between the geometric parameters of the deforming 
elements and the contact zone have established that the area and volume of the contact 
zone do not unambiguously determine the formation of the quality of the surface layer. 
5. A mathematical model has been developed for determining the kinematics of 
moving points of a deformable surface. The connection between the kinematics of 
moving points of a deformable surface and strains and stresses distributed over the 
contact area formed by an arbitrary deforming element is established. 
6. Dependences are obtained to determine the radial and tangential forces, specific 
heat release and temperature per single contact through the distribution of strains and 
stresses in the contact. 

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SCIENTIFIC PROGRESS
VOLUME 3