METHOD OF CALIBRATING A VIBRATION MEASURING SYSTEM BASED ON THE IMAGE BLUR ANALYSIS
OF A ROUND TEST FRAGMENT 

Aleksey V. Grigoryev, Candidate of technical sciences, associate professor, associate professor of the sub-department radio equipment design and production, Penza State University (40 Krasnaya street, Penza, Russia), a_grigorev@mail.ru

Background. The purpose of this article is to improve the method of calibration of a vibration measuring system, the operation of which is based on the analysis of the image of a round test fragment with vibrational blur, by establishing a correspondence between the vibrational displacement of the surface element under study and the relative vibrational increment of the image area of the test fragment. The relevance of the goal is to significantly reduce the calibration error without increasing the cost of hardware. Materials and methods. The study of the relationship between the amplitude of the vibrational displacement of a surface element and the relative vibrational increment of the area of the image of a round test fragment was carried out by numerical modeling and analytical geometry methods. Results. The relevance of the problem of creating information-measuring systems, which are based on the analysis of images of test fragments of a round shape with vibration blur, is substantiated. Previously developed methods for calibrating such systems are analyzed. The problem of calibration of the vibration measuring system, which analyzes the image of a round fragment blurred due to vibration, is formulated. A calibration scheme for vibration measuring systems based on the analysis of images of round test objects with vibration blur has been developed. It is shown that an exemplary vibrometer used in the calibration of a  vibration measuring system can measure vibrations in a narrow frequency range and only along a rectilinear trajectory, while the system calibrated by it is capable of analyzing vibrations of all possible frequencies and complex trajectories. Conclusions. A method for calibrating vibration measuring systems based on the analysis of vibrational blurring of the image of a round test fragment has been developed and substantiated.

vibration, round mark, image, blur, dynamics, calibration, informationmeasuring system, numerical simulation

Grigoryev A.V. Method of calibrating a vibration measuring system based on the image blur analysis of a round test fragment. Modeli, sistemy, seti v ekonomike, tekhnike, prirode i obshchestve = Models, systems, networks in economics, technology, nature and society. 2023;(4):172–180. (In Russ.). doi: 10.21685/2227-8486-2023-4-12