Definition of vibro displacements of drive systems with laser triangulation meters and setting their integral characteristics via hyper-spectral analysis methods

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Authors:

S.V.Strutynskyi, Cand. Sc. (Tech.),The National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

A.A.Hurzhii, Cand. Sc. (Tech.), The National Technical University of Ukraine “Kyiv Polytechnic Institute”, Kyiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose.Experimental measurements of vibro movement of the spatial drive system using laser triangulation sensors and definition of integrated dynamic characteristics of a drive using hyperspectral analysis methods.

Methodology.Experimental research methods using high-precision laser triangulation sensors of vibro movement and application of hyperspectral analysis methods based on multiple (two-dimensional) Fourier series for processing the measurement results of vibro movement of the table of spatial drive system .

Findings.The technique of precision dimensions (0.2 mm) of vibro movement of the table of the spatial drive system was developed. Projections of displacement of the table and the trajectory of its movement are determined. We established that the set of trajectories is described by the fuzzy sets and proposed analytical dependencies that describe the membership functions of the fuzzy sets. Application of hyperspectral analysis methods for determining the integrated dynamic characteristics of the spatial drive system was substantiated.

Originality.High-precision measurements of vibro movement of the spatial drive systems were obtained for the first time. In this study it was established that on exposure to the dynamic load we receive the displacement projection of a table with high-frequency oscillation parameters, which are fuzzy. This causes ripple movement of the table and uncertainties of the trajectories, which are located within the elliptical stripe. The location of the table within the band is a fuzzy set. Characteristic membership function looks like Gaussian curve, and its parameters depend on the polar angle. This fuzziness of a fuzzy set changes by 2…3 times within the polar angle of 2p. The efficiency of using the integrated dynamic characteristics of a drive that are represented as a spectrum of squared absolute value of two-dimensional Fourier series, that is one of the varieties of hyperspectral analysis, was proved for the first time.

Practical value.The regularities of vibro movement of the drive system that has the poorly defined (fuzzy) high-frequency components were determined. Methods for evaluating a fuzzy effect on the trajectory of the moving table were developed, and practical recommendations to establish patterns of the fuzzy oscillation using hyperspectral analysis methods were provided .

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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You are here: Home Archive by issue 2017 Contents No.1 2017 Geotechnical and mining mechanical engineering, machine building Definition of vibro displacements of drive systems with laser triangulation meters and setting their integral characteristics via hyper-spectral analysis methods