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1 Journal of Achievements in Materials and Manufacturing Engineering

1 2007

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Complex mathematical model and optimisation of vibration volumetric treatment for surfaces of machine parts

Stotsko Z. A., Sokil B. I., Topilnytskyy V. G.

Journal of Achievements in Materials and Manufacturing Engineering

2007

Vol. 24, nr 1

283-290

Purpose: The objective of this work is to develop the principles of the theoretical investigation of vibration volumetric treatment for the surfaces of articles manufactured by friable dry medium and to create the method for choice and optimization of machine parameters. Design/methodology/approach: Theoretical investigations are based on using the analytic methods of theory of non-linear oscillations and asymptotic methods of solving non-linear differential equations for describing dynamic processes of volumetric vibration treatment. Experimental investigations of dynamic processes that take place in the vibromachines were carried out with using the computer and vibration measuring system. Findings: Complex non-linear mathematic model of the system "vibromachine - treating medium" is created. Due to their non-linearity, models of such kind are adequate to real situation of vibrotreatment, they can also be applied in investigation of dynamics of the vibromachine and its medium. Research limitations/implications: Processes of vibration volumetric treatment need additional investigations. Practical implications: The obtained complex mathematical model of the system "vibromachine - trading medium" enables us to analytically determine the influence of its parameters upon the intensity of articles treatment in it according to the chosen criterion; thus it saves us from carrying out time taking cumbersome experiments both for designing a vibromachine and for selecting modes of treating articles in it. Originality/value: The new approach to the investigations of volumetric vibration treatment by means nonlinear mathematic model of the system "vibromachine - treating medium" have been shown.