Mathematical models of the system of measurement and analysis of temperature parameters of radio electronic modules

The article shows the relevance of the application of discrete models of rod structures of radio-electronic means (REM) for the study of their behaviour under transient loading. A discrete model of the propagation of harmonic waves in the rod and the study of standing waves are proposed. Computational experiments using the proposed model are conducted. The results show that the model accurately reflects qualitative dynamics of the physical processes in the elastic rod while the waves of elastic deformations are passing through. The proposed models are used for software implementations of systems of mechanical simulation of the behaviour of rod structures.

“…6). The modelling results of the study are fully confirmed by the analytical solution of this problem given in [2], [5].…”

Section: Computational Experimentssupporting

confidence: 64%

mentioning

confidence: 99%

Discrete Models in Research of Wave Processes in Rod Structures of Radio-Electronic Means

Лысенко

Yurkov

Trusov

et al. 2018

“…Counting of the pixel number belonging to the blurred mark image was carried out by (3), as a result of which the area values of the blurred mark images Simtz(k) were formed, where k is the sequence number of the mark image obtained in the presence of vibration. For each k value, the radius lz(k) of the filtered binary mark image, measured in raster units run, was determined by (6). The values of the radius increment of the mark image caused by the vibrational displacement of the material point under study were calculated from the formula:…”

Section: The Results Of Experimental Studiesmentioning

confidence: 99%

Determination of Vibrational Displacement Measurement Error Based on the Blurring Analysis of a Round Mark Image

Grigor’ev

Лысенко

Кочегаров

et al. 2018

The relevance and nature of a new technology for measurement of vibrational displacement of a material point through normal toward the object plane are stated in the article. This technology provides registration and processing of images of a round mark or a matrix of round marks, which are applied to the surface of a control object. A measuring signal here is the module of radius increment of the round mark image at vibrational blurring of this image. The method for calculation of the given error of measurements, as a function of a number of pixels of the round mark image, has been developed and proven in the present research. The results of pilot studies are given. Linearity of transformation of the measured size into a measuring signal has been proven. The conditions of a technical compromise between the field of view area of a recording device during distribution measurement of vibrational displacements along the surface of a control object, and the accuracy of this measurement are determined. The results are illustrated with numerical examples of calculations of the given error of measurements in the set field of view and the one at the given maximum set error of measurements.

“…If most of the pixel is within a continuous image, then the discrete image includes the entire pixel. If most of the pixel is outside the continuous image, then the entire pixel remains outside the discrete image [15]- [17].…”

Section: Raster Graphics Analysis Of a Round Mark Imagementioning

confidence: 99%

Modelling of Measurement Error for Vibrational Displacement Based on the Blurring Analysis of a Round Mark Image

Grigoriev

Danilova

Trusov

et al. 2018

With the aim to compare methods for counting the number of lines of a raster matrix, intersecting a round mark image, and a number of pixels belonging to this image for measuring its radius, a numerical simulation is carried out in the present article. It is proved that the application of the method for counting the number of pixels belonging to the image of the round mark allows obtaining more than 30 times gain in the accuracy of this image radius measurement using the same equipment. The formulas proposed in the article are used for software implementation of non-contact vibration measurement systems.