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Abstract. The article describes the features of the interaction between the cutting part of the tool and the part when processing deep holes. The description of the motion of the executive body is based on the second-order Lagrange equation. The differential equations of motion for five generalized coordinates derived. At the first stage of the study, only longitudinal and torsional oscillations were considered. With the use of Laplace images, a transfer function is obtained, taking into account the relationship between longitudinal and torsional oscillations. Graphically the relationship between the marked oscillations is shown. For an example, the frequency characteristic of a gun drill is brought.

In this paper on the basis of experimental numerical investigations carried out and factory experience it is shown that the process of heat-exchange pipe roller rolling differs from a widely used idea that in the course of rolling a pipe approaches uniformly to a cylindrical surface of an opening in a pipe plate and then presses itself causing at that elasto-plastic deformations in a pipe plate. In fact, at rolling a pipe deformation occurs in the form of a rotating triangle (for three-roller rolling) with increasing sides. Pipe pressing to an opening side is carried out in some points the number of which grows with the increase of a rotational moment. At that, only an elastic deformation of bridges in a pipe plate takes place. The final contact stress in a coupling is caused by the interaction of different metal layers, a part of which is stretched, and another part is compressed.