| Popis: |
This paper presents the process and results of developing a mathematical model of rod-type piezoelectric transducers, which are widely used in various devices and systems that are part of smart technologies for urban engineering and municipal economy (power supply devices for green and intelligent municipal special vehicles, systems for high-precision control of environmental factors affecting the critical infrastructure of the city, etc.). The physical processes taking place in rod-type piezoelectric transducers operating in the mode of longitudinal low-frequency oscillations are considered. The obtained analytical dependences make it possible to determine the main operating parameters (modulus of electrical impedance, frequencies of the first resonance and antiresonance, electromechanical coupling coefficient, etc.) of rod-type piezoelectric transducer depending on its operating frequencies and dimensions. As one of the practical results obtained in the work, there is a proposed generalized algorithm for mathematical modeling of rod-type piezoelectric transducer. Also, in the process of mathematical modeling according to the above algorithm, the dependences of changes in the electrical impedance modulus on the operating frequency of the electromechanical resonance were obtained. The discrepancy between the mathematically calculated and experimentally obtained values of the electrical impedance modulus of an oscillating rod-type piezoelectric transducer in the operating frequency range up to 60 kHz, which have found application in smart technologies of urban engineering, does not exceed 5.2%. |
