“…The problems of contact mechanics on the interaction of rods or shells with their surrounding environment are very popular in such areas as the immersion of construction piles [33,51,52], the design of layered support columns [14], the construction of deep wells [25,59,61], and the elimination of emergency sticking of long drilling tools [34,41]. Attention should also be drawn to a series of theoretical and experimental works devoted to the frictional contact of a deformable aggregate with a cylindrical shell [7,8,42], the interaction of two cylindrical shells with each other [6,18,60], and the contact of an open metal pipe with an elastic body [21,48]. In articles [5,12] the contact interaction of the roller with the bearing ring was studied and the influence of the roller shape on the service life of the bearing was determined.…”