Article 9117

Title of the article

ON THE ISSUE OF SYNTHESIS OF MATHEMATICAL MODELS OF PIEZOELECTRIC
ACOUSTIC PRESSURE SENSORS 

Authors

Boykov Il'ya Vladimirovich, Doctor of physical and mathematical sciences, professor, head of sub-department of higher and applied mathematics, Penza State University (40 Krasnaya street, Penza, Russia), math@pnzgu.ru
Shcherbakov Mikhail Aleksandrovich, Doctor of engineering sciences, professor, head of sub-department of automation and remote control, Penza State University (40 Krasnaya street, Penza, Russia), avitel@pnzgu.ru
Krivulin Nikolay Petrovich, Candidate of engineering sciences, associate professor, sub-department of higher and applied mathematics, Penza State University (40 Krasnaya street, Penza, Russia), krivulin@bk.ru
Kikot Viktor Viktorovich, Postgraduate student, Penza State University (40 Krasnaya street, Penza, Russia), inbox@post.su
Malanin Vladimir Pavlovich, Сandidate of engineering science, associate professor, sub-department of automation and remote control, Penza State University (40 Krasnaya street, Penza, Russia), malanin48@yandex.ru

Index UDK

 681.586.773: 519.8

DOI

 10.21685/2072-3059–2017-1-9

Abstract

Background. The object of the study is piezoelectric acoustic pressure sensors. The subject of the research is the modeling of piezoelectric sensors operating under a thermal shock effect of the working environment with the temperature of minus 180 degrees Celsius. The aim is to create a mathematical model of the sensor
operation.
Methods. At construction of the mathematical model the authors used the methods of generalized operational calculus.
Results. The article offers the mathematical model of piezoelectric transducero peration in conditions of the thermal impact of the working environment. A comparison of the results of a field experiment and mathematical modeling confirms the efficiency of the proposed model.
Conclusions. The results can be used in the development of piezoelectric sensors intended for operation at non-stationary temperatures of the working environment and under thermal shock effects.

Key words

piezoelectric sensor, acoustic pressure, thermal shock, mathematical model, impulse response function

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References

1. Bogush M. V. Proektirovanie p'ezoelektricheskikh datchikov na osnove prostranstvennykh elektrotermouprugikh modeley [Design of piezoelectric sensors on the basis of thre-dimensional electrothermoelastic models]. Moscow: Tekhnosfera, 2014, 312 p.
2. Bogush M. V. Pribory i sistemy. Upravlenie, kontrol', diagnostika [Devices and systems. Control, monitoring, diagnostics]. 2008, no. 2, pp. 26–39.
3. Boykov I. V., Krivulin N. P. Metrologiya [Metrology]. 2012, no. 8, pp. 3–14.
4. Boykov I. V., Krivulin N. P. Izvestiya vysshikh uchebnykh zavedeniy. Povolzhskiy region. Fiziko-matematicheskie nauki [University proceedings. Volga region. Physical and mathematical sciences]. 2014, no. 2 (30), pp. 34–48.
5. Boykov I. V., Krivulin N. P. Analiticheskie i chislennye metody identifikatsii dinamicheskikh sistem: monogr. [Analytical and numerical methods of dynamic system identification: monograph].Penza: Izd-vo PGU,2016,398 p.

 

Дата создания: 08.08.2017 15:51
Дата обновления: 09.08.2017 15:58