Article 5119

Title of the article

MEASUREMENT TECHNOLOGY APPLICATI VIBRATION
DISPLACEMENTS BASED ON THE ANALYSIS OF DEFOCUS OF THE IMAGE OF A CIRCULAR MARK 

Authors

Grigoriev Alexey Valeryevich, candidate of technical sciences, associate professor, sub-department of radio equipment design and production, Penza State University (440026, 40 Krasnaya street, Penza, Russia), E-mail: a_grigorev@mail.ru
Kochegarov Igor Ivanovich, candidate of technical sciences, associate professor, sub-department of radio equipment design and production, Penza State University (440026, 40 Krasnaya street, Penza, Russia), E-mail: kipra@mail.ru
Lysenko Alexey Vladimirovich, candidate of technical sciences, associate professor, sub-department of radio equipment design and production, Penza State University (440026, 40 Krasnaya street, Penza, Russia), E-mail: lysenko_av@bk.ru
Podsyakin Andrey Sergeevich, postgraduate student, Penza State University (440026, 40 Krasnaya street, Penza, Russia), E-mail: kipra@pnzgu.ru
Yurkov Nikolay Kondratievich, doctor of technical sciences, professor, the honoured worker of science of the Russian Federation, head of sub-department of radio equipment design and production, Penza State University (440026, 40 Krasnaya street, Penza, Russia), E-mail: yurkov_NK@mail.ru 

Index UDK

004.932.2 

DOI

10.21685/2307-4205-2019-1-5 

Abstract

Background. The object of the study is the technology of measuring the magnitude and direction of the amplitude vector of the vibration movement of the material point under study, which is based on a comparative analysis of images of a matrix of round-shaped marks, one of which is obtained in the absence of vibration, and the other in its presence. The aim of the work is to form the basic principles of error estimation of the presented measuring technology.
Materials and methods. The method of graphic modeling of the image of a round mark is applied, the scientific position of primary processing of the measuring signal received from vibration movement of the investigated material point is proved. Methods of graphical and numerical modeling and probabilistic forecasting are used to describe the concept of error estimation of the proposed measurement technology.
Results. An adequate mathematical model of the processes of formation and transformation of the image of a round mark during its vibration movement on the applicate is proposed. The basic relations for calculating the amplitude of the vibration movement of the studied material point along the applicate are formed. The concept of estimating the error of the technology of measuring the amplitude of the vibration movement of the investigated point of the surface of the control object on the application based on the analysis of the image blur of the round mark.
Conclusions. The proposed mathematical model of the processes of formation and transformation of the image of a round mark during its vibration movement on the application allows to identify the increment of the radius of the image of a round mark during its vibration blur as a measuring signal, on the basis of which the amplitude of the vibration movement that caused it can be calculated. Formed basic relationships allow to make such a calculation. The developed concept allows to estimate the measurement error of the vibration displacement amplitude based on the known measurement error of the area of a clear image of a round mark at the initial position in the absence of vibration. 

Key words

vibration, model, defocusing, images, sampling, error, pixel, matrix, contour, vector, displacement, binarization 

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Дата создания: 22.04.2019 16:12
Дата обновления: 23.04.2019 10:21