Physical Fields of Circular Cylindrical Piezoceramic Receiver in Presence of a Flat Acoustic Soft Screen

Abstract

System in the form of a circular cylindrical piezoceramic transducer near a flat acoustic screen was analyzed. The aim of the work was to solve the problem of receiving plane sound waves by «cylindrical piezoceramic transducer – flat acoustically soft screen» system.Considered system was characterized by a violation of the radial symmetry of the radiation load of the transducer while maintaining the radial symmetry of the electric load. At the same time, the energy perceived by the system under consideration is distributed between all modes of oscillation of the transducer, while the conversion of mechanical energy into electric is realized only at zero mole of oscillations.Special attention was paid to the method of coupled fields in multiply connected domains using the imaging method. The design model of the «transducer–creen» system was formulated taking into account the interaction of acoustic, mechanical and electric fields in the process of energy conversion, the interaction of a cylindrical transducer with a flat screen and the interaction of a converter with elastic media outside and inside it. The physical fields of the system under consideration were determined by following solutions: the wave equation; equations of motion of thin piezoceramic cylindrical shells in displacements; equations of stimulated electrostatics for piezoceramics for given boundary conditions, conditions for coupling fields at interfaces and electrical conditions.A general conclusion was made concerning solving of an infinite system of linear algebraic equations with respect to the unknown coefficients of the expansion of the fields. As an example of the application of the obtained relations, a calculation was made and an analysis of the dependences of the electric fields of the system under consideration for various parameters of its construction on the direction of arrival on the plane wave system was conducted.

Experimental Data on Dynamic Changes of Radio Pulses When They are Emitted by Piezoceramic Electromechanical Transducers

“…Each of these functions has its own physical characteristics. The peculiarity of the first function of piezoceramic electromechanical transducers is the presence of an interconnection between three physical fieldselectrical, mechanical, and acoustic, involved in the process of energy conversion [3,[14][15][16]. A feature of the second function of the transducer is the interaction of acoustic fields created by the elements of the transducer's structure in the process of forming its full acoustic field [14][15][16].…”

“…The analysis of published materials [4][5][6][7][8][9][10][11][12][13][14][15][16] indicates 06022-2 that in the design support for detecting distortions in the parameters of pulses of acoustic location systems, the greatest success was achieved in non-destructive testing [5][6][7][8][9][10][11][12][13]. This is due to the use of a simpler and more advanced numerical method for determining the parameters of pulses -the method of equivalent electromechanical circuits [4,5].…”

“…This method is based on the joint solution of a system of differential equations, which include the wave equation describing the propagation of sound waves in the media surrounding transducers of the location system, equations of electromechanical vibrations of system transducer structures and equations of state of piezoelectric ceramics in transducers. To date, such an approach has been considered for acoustic location systems with stationary excitation of their transducers [14][15][16]. The complexity and underdevelopment of methods for calculating the formation of mechanical and acoustic fields of such systems in pulsed modes of their operation leads to the need for an experimental assessment of these fields in the indicated modes of operation of location systems.…”