Simulation of oscillatory processes in a piezoelectric transducer

It is now an urgent task to minimize the weight and size of all the elements of space technology; this applies to all electric drives functioning in the spacecraft equipment. A significant alternative to electromechanical devices are microlinear piezoactuators. Replacing all the drives in the spacecraft by microlinear piezoactuators is not only a technical objective but also a significant import substitution in an important industry sector of the country.
The analysis of such a transducer can be performed in two ways. The first method is to calculate the power of elastic waves using the equations of wave propagation in each medium with appropriate boundary conditions. The second method is based on the representation of the oscillating system in the form of electrical circuits, and application of Kirchhoff's laws. In this paper, an approach to the mathematical modeling of a batch piezoactuator with allowance for the mass and mechanical losses of piezoplate motion based on analog electrical equivalent circuit are proposed. This approach is valid for the solution of one-dimensional problems and can be useful for preliminary calculations of oscillating systems of microlinear batch piezoelectric transducers.
According to the study it was determined that:

• frequency characteristics of the analog electrical equivalent circuit with allowance for masses and losses significantly differ from those of the analog electrical equivalent circuit of the oscillating system without regard to masses and losses;
• for a more accurate analysis of the vibration system, it is necessary to use a complete analog electrical equivalent circuit;
• frequency characteristics of forces show the presence of resonances inside of the batch piezoelectric transducer. All piezoplates resonate at different frequencies and the amplitude of forces on the individual piezoelectric elements can exceed the resultant force of the entire batch piezoelectric transducer.