Axundova P.
vol.3, no.2, pp.60-62, 2022 (Conference Book)
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Nəşrin Növü:
Article / Article
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Cild:
3
Say:
2
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Nəşr tarixi:
2022
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Jurnalın baxıldığı indekslər:
Other Indexes
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Səhifə sayı:
pp.60-62
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Açıq Arxiv Kolleksiyası:
Məqalə, Rəqəmsal Yaddaş Kolleksiyası
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Adres:
Bəli
Qısa məlumat
As control variables, we accept the parameters of the displacement function of the points of the outer contour of the sleeve and the microgeometry of the inner surface of the sleeve and the outer surface of the plunger. As a mathematical model of the problem of reducing the level of heat-tension of the sleeve, we accept differential equations of thermoelasticity. To determine the contact pressure and stress distribution in the elements of a friction pair, it is necessary to consider the wear-contact problem of pressing the plunger into the sleeve surface. Let us consider the stress-strain state of the sleeve of the contact pair under the action of loads normal and tangential to the inner contour. Let a plunger be pressed against the inner surface of the sleeve in some unknown area. It is assumed that the plane deformation conditions are satisfied. The sleeve and the plunger are modeled as an isotropic elastic homogeneous body. The modes of operation of the contact pair, in which residual deformations may occur, are considered unacceptable. The loading conditions are considered to be quasi-static.
We refer the sleeve of the friction pair to polar system of coordinates rθ having chosen the origin at the center of concentric circles L, L0 of radius R and R0, respectively. We will assume that the inner contour of the sleeve and external contour of the plunger are close to annular one. We respect the unknown boundary of the internal contour of the sleeve in L′ the form