НОВА РОЗРАХУНКОВА МЕТОДИКА МОДЕЛЮВАННЯ СТРУГАННЯ МЕТАЛУ

Abstract

Cutting methods on machine-building enterprises have a stake of 50-70% of machining total volume. Hereupon, especially taking into account the use of new materials, new modes of cutting and new equipment, cutting tasks on the increase of the productivity, part processing accuracy, durability and strength of instrument, efficiency of equipment will be yet long time actual. In this connection there is a requirement in the methods of research of cutting processes. It is confessed that the experimental method of decision of cutting tasks almost exhausted the possibilities, that is why it is needed to develop theoretical approach that has two basic directions. The first direction is a-the construction of analytical correlations that describe relationship of cutting parameters and allow to expect the necessary values of parameters in every case, on the basis of generalization of statistical data or on the basis of suppositions. The second direction envisages formulation and decision of tasks of cutting on the basis of the use of fundamental laws of mechanics of the deformed solid. In this direction an important role is played by the method of finite elements. In our time three varieties of FEM are used for the simulation of cutting with dissociating of chip from a detail: method of Euler, method of Lagrange and ALE (arbitrary Lagrangian- Eulerian). Each of varieties has substantial disadvantages. The methods of Euler and ALE need preliminary determination of form of body of chip and used for the calculations of the regular modes of cutting. The method of Lagrange needs the use of adaptive nets and "throwing" out of erosion elements, that causes violation of balance of mass and energy are executed in that. Besides all these methods have too high cost The new methods of discretization of differential equalizations appear in our time, in particular, SPH (smooth particle hydraulic), that is free of the indicated defects. This method is potentially free of the indicated defects. It was used for the decision of similar tasks. The article contains mathematical problem of cutting definition, description of calculation model, discretization of FEM-SPH mixed in particular, and also results.