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

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
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
Trusov Vasiliy Anatolievich, 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: trusov_v@mail.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 

004.932.2 

10.21685/2307-4205-2019-2-9 

Background. The object of the study is vibration measurement technology based on the calculation of the number of pixels of the image of a circular label with vibration blur and the number of pixels of a clear image of the same object in the absence of vibration. The aim of the work is to develop a methodology for assessing the reduced error of this vibration measurement technology.
Materials and methods. Methods of probabilistic error prediction and numerical simulation of the coverage intervals of the measured values are used to develop methods for estimating the errors of vibration measurement technology.
Results. Mathematical formulas for estimation of the maximum absolute error of measurement of the area of the image of a round label by counting the number of pixels belonging to this image are obtained and justified. Sequences of mathematical calculations are obtained and substantiated to estimate the maximum absolute error of measuring the increment of the radius of the image of a circular mark with vibration blur in relation to the radius of its image in the absence of vibration and to estimate the reduced error of measuring the amplitude of the vibration movement of the investigated point of the surface of the object of control on the application.
Summary. The obtained mathematical formulas make it possible to predict with a given confidence the error of measuring the area of the image of a round label by counting the number of pixels belonging to this image. The developed algorithms allow us to estimate the error of the measurement signal based on the known number of pixels per image of a round label. The developed concepts create prerequisites for the development of techniques, construction of experimental and computational functions that will allow the design of systems for measuring the amplitude of the vibration movement on the application to vary the field of view of the recording device, its resolution, the diameter of the round mark and the reduced measurement error: given three of these parameters, determine the fourth. 

vibration, measurement, resolution, recording device, defocusing, images, sampling, error, pixel, raster, amplitude, application