До питання розв’язку задачі випромінення звуку сферою в обмежених рідинних просторах хвилеводного типу

Abstract

 A method for solving the acoustic problem of sound emission by a spherical transducer in confi ned liquid spaces is considered. A new formulation and a method for solving the acoustic problem of sound radiation by a spherical source in the presence of ideal boundaries of an acoustically rigid type are proposed. The method does not involve the usage of traditional integral methods and methods of imaginary sources. The procedure of the method includes the usage of solutions of only the homogeneous Helmholtz equation, according to the Fourier method, of boundary conditions such as the Neumann problem and the Fresnel zone method. The result is considered the distribution of amplitudes and phases of acoustic pressures (vibrational velocities) in the near and far fi eld of the radiator, produced by a source of the selected type. The possibility and application of solutions to the problem for generating excitation coeffi cients by a pulsating source of a plane-parallel waveguide with rigid bounda ries is shown. At the same time, explanations of the physical nature of the accompanying effects are given – a change in vibrational movements due to the coupling of the vibration modes of the sphere and the type of electrodes. The article is basic and has the prospect of development, by increasing the number of options for working situations, combinations of boundary conditions, circumstances of the source in accordance with the requirements of the present. The aim of the work is to expand the methodological capabilities of theoretical research, statements and solutions of wave acoustics problems.