MECHANICS

Modeling of the stress-strain state of an ultrasonic piezoelectric transducer in an impedance method of testing materials

A. V. Azin, A. V. Vasilyev, S. V. Ponomarev, S. V. Rikkonen

Tomsk State University, Tomsk, Russian Federation

Abstract: The work is devoted to modeling the stress-strain state of the elements of an ultrasonic piezoelectric transducer (UPT). UPT is used in the impedance method for testing materials.
The issue of the minimum weight of the load is being considered. For a harmonic oscillatory process in the system, the weight of the load must be sufficient to ensure contact of the UPT indenter with the body surface. At the same time, the loading action should not damage the surface of the test sample.
A mathematical formulation of the problem is formulated to describe the oscillatory process of the “UPT-test sample” system after ensuring the contact of the UPT indenter with the surface of the material. A one-dimensional finite element model of the oscillatory system “UPT-test sample” is proposed. A frequency set of resonances in the frequency range of 15-30 kHz has been obtained. When comparing the simulation results with experimental data, the error is no more than 7%.

Keywords: impedance method, ultrasonic piezoelectric transducer, mathematical formulation, stress state, oscillatory system, resonances.

UDC: 620.17

Received: 25.09.2024

DOI: 10.17223/19988621/92/5