Ensuring the uniformity of oscillations of a flat membrane by sources of ultrasonic impact

Abstract

The article presents the results of studies aimed at ensuring the uniformity of vibrations of a flat membrane by sources of ultrasonic exposure. The relevance of the conducted research lies in the fact that for the effective implementation of physical and physicochemical processes in thin liquid films, it is necessary to ensure the maximum uniformity of the effect over the entire surface area of the spreading film. The main problem is that today there are no ultrasound emitters that are able to form a uniform distribution of vibrations over the entire impact plane and thereby ensure the uniformity of the technological process. The vibration concentrators and reciprocating working tools that currently exist are distinguished by a limited radiation surface. This is due to the fact that attempts to increase the area of the radiating surface lead to the need to use multipackage piezoelectric transducers. However, in this case, it is not possible to ensure the in-phase oscillations of each packet (due to wave processes inside the emitter material) and, therefore, for large surface areas, the oscillations turn out to be inhomogeneous or have a small amplitude. The authors propose a mathematical model that will allow optimizing the location of the emitters to ensure maximum uniformity of oscillations of a flat surface. The proposed model makes it possible to identify the optimal configurations of radiators, which provide the smallest dispersion of the oscillation amplitude of the free surface (on which there are no fixed radiators).