Contact interaction of a slotted shell with a deformable filler
Journal Title: Вісник Тернопільського національного технічного університету - Year 2015, Vol 78, Issue 2
Abstract
The aim of the present work is to construct a mathematical model of the friction contact of a slotted cylindrical shell with a deformable filler. The statement of the mixed problem on frictional interaction in the system, which consists of cylindrical slotted shells divided by a deformable filler, is presented Problem statement is carried out using one-dimensional models of shell and filler,The character of the contact interaction of the filler and the slotted shell is determined by the law of dry friction. It is assume that the number of slots of the shell is large and that the filler is under conditions of axisymmetric deformation the shell, which has slots, consists of panels that are subjected to plane bending in radial planes. We model the friction interaction of the slotted shell and the filler under monotonic external loading of the system by the relations of one-sided normal contact with regard to the detachment zone The integral equation for the unknown contact stress was obtained. The solution of the system of equations is obtained by the method of quadratures using the formula of trapezoids with a homogeneous mesh of nodes. In this case, we use the method of successive approximation of the array of nodal values of the contact stress and of the unknown coordinates section slip zones and detachment. As a result, we obtain a table of the values of contact stresses On the basis of a numerical solution the influence of geometric sizes, the number of slots in the shell and the physical properties of the interacting bodies on the rigidity and strength of the system are investigated. It have been established, that the reduce of the length of the filler leads to the rise of the contact pressure of the filler on the shell, reduce of the carrying capacity of the panels slotted cylindrical shell, and the decrease in the bearing capacity of the contact system. The results of these studies can be used in the design of shell elastic elements.
Authors and Affiliations
Oleksandr Bedzir
Keywords
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