Vibration intensity estimation based on image analysis of a round test object with vibration blur

Abstract

Background. The vibration signal carries a lot of information about the state and internal structure of both the source and the receiver of this signal. This circumstance creates the prerequisites for a qualitative breakthrough in the field of state control and forecasting of disasters, both man-made and natural. The purpose of this study is to substantiate the assessment of the vibration intensity based on the analysis of the image of a round test object with vibration blur. Materials and methods. To measure the intensity of vibrations, non-contact methods were used based on the analysis of the image of a round test object with vibration blur. For processing and subject analysis of video streams, both methods of structural analysis and methods of mathematical statistics were used. Results and conclusions. It is shown that there is an approach to measuring vibrations that does not have an upper limiting frequency of the measured vibration. When implementing this approach, the estimation of vibration parameters is based on the analysis of the image of a round mark with vibration blur. The criterion for assessing the overall level of vibration for an arbitrary trajectory of the vibrational movement of the investigated element of the surface of the test object is formulated and justified. An equivalent equivalent circuit for a real vibrational process is presented and described. A model for the formation of disjunctive and conjunctive traces of vibrational blurring of the image of a round mark is presented and described. From the principle of similarity of the image to its original, it is proved that the equivalent amplitude of the vibrational movement is directly proportional to the relative vibrational increment of the image area of the round mark. A scheme for calibrating a system for measuring the overall vibration level is presented and justified based on a comparative analysis of images of a round mark with and without vibration blur at an arbitrary binarization threshold. Calculated calibration ratios are derived, which are illustrated by a numerical example.

Keywords

• vibration
• image
• test object
• round label
• calibration
• overall vibration level
• processing
• analysis
• binarization