Abstract
In the article was solved the problem of radiation of a sound by the electroacoustic transducer which is executed in the form of a thin spherical cover, using a pass-through method. The outer and inner surfaces of the shell are completely electroded.
 The application of this method provides an opportunity to avoid inaccuracies that arise during the traditional formulation of boundary conditions for acoustic mechanical fields, the use of equivalent substitution schemes and the absence of boundary conditions for the electric field in general. Given methodology eliminates these shortcomings by applying conjugation conditions, taking into account the types of electroding of the surfaces of piezoceramic transducers, the introduction of boundary conditions for current and voltage. The results of the solution demonstrate the high capabilities of this pass-through method, in terms of taking into account the peculiarities of determining the characteristics of these fields, values and dependences of the main complex characteristics of the electroelastic transducer, and auxiliary material constants of the piezoelectric material.
 The proposed approach is relevant, because it allows to increase the reliability of modeling the operating conditions of acoustic transducers in the context of wave problems of acoustics. Aim is to enhance the range of performances and build algorithms solving problems of stationary mode hydroelectroelasticity sound radiation. The expected results are presented in terms of improving approaches to studying the features of the oscillatory process of the active elements of sound-emitting systems and the accompanying effects of the transformation of interconnected fields involved in the formation of the acoustic signal in the liquid
Highlights
Pass-through formulations in the problems of mechanics and acoustics were initiated as a separate class of piezoelectric problems based on the provisions of Maison’s physical acoustics [1] and the scientific schools of NASU academicians [2]
A spherical O, r, φ, θ and rectangular O, X, Y, Z coordinate system is introduced into the medium, the centers of which coincide with the phase and geometric centers of the sphere; the radius of the inner surface of the shell – R, external – R1; shell wall thickness – hs = R1–R
The application of the method of the end-to-end problem of the direction «hydroelectric elasticity» in the situation of sound radiation shown on the example of operation of a spherical electroacoustic source of zero order in an ideal liquid
Summary
Pass-through formulations in the problems of mechanics and acoustics were initiated as a separate class of piezoelectric problems based on the provisions of Maison’s physical acoustics [1] and the scientific schools of NASU academicians [2]. The important achievements of the founders include, first of all, the monograph [2], which substantiates the use of such productions in theoretical (2021), «EUREKA: Physics and Engineering» Number 5 and applied issues of electroacoustic transducers of sound and ultrasound ranges The convenience of such formulations in relation to the possibilities provided by them for in-depth study of the spatial and energy characteristics of electroacoustic piezoceramic transducers even leads to the popularization of the initiated approaches of the end-to-end problem (for example, source materials [3]). Further development of theoretical and practical aspects of construction and use of electroelastic systems operating in conditions of static and dynamic deformation, was aimed at the problems of wave acoustics, theory and practice of development of sonar transducers and antennas In this case, as examples of works on this topic include articles [4,5,6,7,8,9,10]. Special mention should be made of the work [2], which initiates the process of solving, systematizing and ordering the electroelastic models of transducers of certain canonical forms
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