Article 12417

Title of the article

ANALYTICAL MODEL AUTOCORRELATION FUNCTION VIBROACOUSTIC OSCILLATIONS IN DYNAMICAL SYSTEM
OF GRINDING MACHINE 

Authors

Ignatyev Alexander Anatolyevich, doctor of technical sciences, professor, sub-department of automation, control, mechatronics,
Saratov State Technical University named after Yu. A. Gagarin, E-mail: atp@sstu.ru
Gavrilova Anna Vladimirovna, postgraduate student, Saratov State Technical University named after Yu. A. Gagarin,
E-mail: anchutca08@mail.ru
Karakozova Vera Alekseyevna, candidate of technical sciences, associate professor, sub-department of automation, control, mechatronics, Saratov State Technical University named after Yu. A. Gagarin, E-mail: atp@sstu.ru 

Index UDK

681.5 

Abstract

Background. The cutting process is accompanied vibroacoustic vibrations by a dynamic system of the machine, which have a significant influence on the formation of geometrical parameters of the treated surface (deviation from roundness, waviness, roughness) and physico-mechanical properties of the surface layer (uniformity of structure, hardness). Therefore, an important role is played by the mode selection process, from which depends not only the tool life, but also the quality of processing. On the basis of computation of the autocorrelation function (ACF) vibroacoustic (VA) fluctuations on the elements of the molding subsystem of grinding machine to identify the transfer function to calculate the stability margin of the dynamic system (DS) of the grinding machine. By maximum stability margin DS set suitable cutting mode in terms of processing quality and performance.
Materials and methods. The article considered conclusion of the analytical expressions for the autocorrelation function VA fluctuations DS grinding machine for one vibrational link (assemblies spindle of circle) for minor power cut and the parallel connection of two vibrational links (assemblies spindle of circle 1W ( p) and details of 2W ( p)), provided that the cutting force is the stochastic steady state has component type of the "white noise". The type and value the coefficients of the expressions for the ACF are determined by the method of undetermined coefficients.
Results. An analytical expression for ACF VA vibrations of grinding machine for DS, containing one oscillating link for minor power cut, and contains the parallel connection of two oscillating links with significant power cut, provided the input signal type of the "white noise".
Conclusions. ACF for one vibrational link is presented in the form of a damped cosine, moreover it corresponds to a low feed range circle. ACF for the case of parallel connection of two oscillating links comprises two frequency components, moreover dependence of the ACF is damped cosine with amplitude modulation. Adequacy of theoretical models and experimental ACF, which is used to calculate the safety factor DS grinding machine allowing by maximum identify suitable technological regime, ensuring the quality of processing and maximum performance. 

Key words

vibro-acoustic oscillations, autocorrelation function, transfer function, oscillatory links, metal-cutting machine, dynamical oscillations 

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Дата создания: 28.01.2019 15:47
Дата обновления: 30.01.2019 14:15