This work concerns burnishing rolling the shafts with elastic pressing of burnishing elements. One of the most important problems during designing this process is calculate value of technological parameters: principal force of burnishing (F3), feed (fn) and velocity (vn). The principal force of burnishing was calculated by integration the elementary contact pressure over contact zone. It possible to determinate as product of means contact pressures and contact zone. It requires to determinate the both distributions it contact pressures and calculate of mean value and contact zone. The unacquaintance of the contact zone or contact pressures distributions leads to incorrect calculations of principal burnishing force and this can bring to destruction of work-pieces surface layer. In the thermodynamics opinion of continuum medium the burnishing process is triple (geometrical, physical and thermal) non-linear boundary and initial condition problem, with unknown boundary conditions in contact zone of the tool and work-pieces. The basic problem is a knew the mechanism of material plastic deformation and definition of displacement states, strains and stresses that occur in surface layer of processing work-pieces in the force or depth function in burnishing process. These states have significant influence on course of phenomena occurring in the burnishing rolling process, that are deciding on properties of formed work-pieces surface layer. In this work was shown the numerical way of contact zone determinate between burnishing elements and workpieces. In cases, where were analyzed the roughness of surface after previous processing was considered. The modeling was conducted with use of updated Lagrange\'a description and Finite Elements Method. The tool was modeling as rigid, however object as elasto ? visco/plastic (E/VP) body. In aim to variational formulation of the contact problem for this bodies the variational functional, was selected in, are exist one independent field, namely the displacements increment field. Moreover, satisfy that compatibility equations and initial and boundary conditions were fulfilled, was accepted. Such foundations lead to obtain up to the pattern, formulated in displacements increments, model problem for geometrical and physical non-linear dynamics. The movement equations solution was execute with explicit method, in with applauded the differential approximation of displacement partial derivatives. Worked out mathematical models of process were applied was in the author's application in programme Ansys/Ls - Dyna which makes possible the contact automatic detection and calculation the contact zone, and also they calculations the states of deformation and stresses for different material models with regard the influence of elastic strain, friction, strain rate and temperature. The results of simulation are basis to technological operation designing the burnishing rolling. The exemplary results of the contact zone calculations were presented.
Praca dotyczy nagniatania tocznego wałków z elastycznym dociskiem elementów nagniatających. Jednym z najważniejszych problemów w projektowaniu procesu jest obliczenie wartości parametrów technologicznych takich jak główna siła nagniatania, posuw i prędkość. Główną siłę nagniatania oblicza się całkując jednostkowe siły nacisku po obszarze styku. Można tą siłę również wyznaczyć jako iloczyn średnich nacisków jednostkowych i pola styku. Wymaga to określenia zarówno rozkładu nacisków jak i obliczenia wartości średniej oraz pola styku. Nieznajomość jednej z tych wielkości prowadzi do nieprawidłowego obliczania siły nagniatania, a poprzez to przy praktycznym zastosowaniu modelu może doprowadzić do zniszczenia warstwy wierzchniej wyrobu. W pracy przedstawiono sposób numerycznego określania pola styku elementu nagniatającego z przedmiotem obrabianym. Analizowano przypadki, dla których uwzględniono chropowatość powierzchni po obróbkach poprzedzających.