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Content available remote Surface layer modelling and diagnostic after loose solid balls treatment
EN
Purpose of this paper is development of the mathematical models of the methods of treatment with using loose solid balls. The main methods used for the theoretical research are mathematical modelling, integral calculus, fundamentals of analytic geometry, probability theory, hydraulics of multiphase flow. The main methods used for the experimental investigations were conducted by receiving diagrams of removed material depth, microhardness of the oblique slices of the treated samples, speckle interferograms of the surfaces treated with using loose solid balls. Method of mathematical modeling for treatment with using loose solid balls is developed based on the energy conception. Mathematical model is created that allows calculating the characteristics of surface quality depending on the technological modes of the treatment. It is planned developing and improving the mathematical modeling methods of the treatment with using loose solid balls in future research by extending theirs for the curvilinear treated surfaces. Practical implications has the applied software, elaborated on the models basis, that allows providing for calculations automation of the surface quality characteristics depending on the technological modes.
2
Content available remote Strengthening surfaces of machine components by treatment using loose solid balls
EN
Purpose of this paper is to develop mathematical models of the treatment methods using loose solid balls. Analysis of treatment with the use of loose solid balls behaviour is carried out for modelling. The operating factors such as geometrical parameters of a nozzle, distance to the treated surface, and pressure of compressed air and outlet factors such as level of strengthening, depth of hardened layer are determined. It is proposed to put into basis of the mathematical models the energy conception that permit for unification and simplification of mathematical description of the processes. The level of strengthening, and depth of hardened layer are estimated for the plain surfaces by means of created mathematical models. Design/methodology/approach: The main methods used for the theoretical research are mathematical modelling, integral calculus, fundamentals of analytic geometry, theory of probability, hydraulics of multiphase flow. The main methods used for the experimental investigations were conducted by receiving diagrams of surface roughness, microhardness of the oblique slices of the treated samples, speckle interferograms of the surfaces treated using loose solid balls. Findings: A method of mathematical modelling for treatment with the use of loose solid balls is developed based on the energy conception. The mathematical model is created and allows calculating the characteristics of surface quality depending on the technological modes of treatment. Research limitations/implications: It is planned to develop and improve the methods of mathematical modelling of the treatment using loose solid balls in future research by extending them for the curvilinear treated surfaces, which are characterised by a movement relative to the nozzle. Practical implications: have the applied software, elaborated on the basis of the models, that allows providing for automation of calculations of the characteristics of surface quality depending on the technological modes of the treatment. Originality/value: It is pioneered to receive functional dependences between depth of a hardening layer, changing microhardness, degree of hardening and the parameters of equipment, blast of loose solid balls, and working medium. The created functional dependences take the distribution of characteristics of working medium into account (mass and velocity) all along the cross-sections of the blast.
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