Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries

Authors

DOI:

https://doi.org/10.15587/1729-4061.2021.243161

Keywords:

acoustic field, acoustic plane-parallel waveguide, spherical source, partial regions

Abstract

The paper considers the features of the formation of an acoustic field by a spherical source with complicated properties in a regular plane-parallel waveguide, which is of practical importance in marine instrumentation and oceanographic research. The calculation algorithm is based on the use of the Helmholtz equation and the Fourier method for each partial region and the conjugation conditions on their boundaries. The presented calculation allows one to get rid of the idealized boundary conditions on the source surface, with the subsequent determination of the excitation coefficients of the waveguide modes within the framework of the Sturm-Liouville problem. In this case, the attraction of the boundary conditions on the surface and the bottom of the sea, as well as the Sommerfeld conditions, makes it possible to obtain the real distribution of the field in the vertical sections of the waveguide.

The obtained frequency dependences of the pressure and vibrational velocity components show their amplitude-phase differences, which reach 90 degrees, which partially explains the appearance of singular points in the intensity field in a regular waveguide. It has been determined that multiple reflections of sound waves from the boundaries of the working space and the space of the waveguide cause oscillations of the pressure components with a change in the amplitude level up to 6 dB. It was found that with an increase in the size of the source, a kind of resonance is formed in the working space, the frequency of which depends on the depth of the sea and corresponds to the region kr=x=5.8. It was found that when the acoustic field is formed in the working space, the frequency response of the impedance components is represented as a multiresonant dependence formed on the basis of the frequency characteristics of the lower modes and their combinations. Experimental studies have shown that the results of calculations of the mode composition of the acoustic field of the emitter, obtained in the conditions of the pool, correspond to the spatial characteristics of the mode components of the acoustic field with an error of up to 3 dB

Author Biographies

Oleksii Korzhyk, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Doctor of Technical Sciences, Professor

Department of Acoustic and Multimedia Electronic Systems

Sergey Naida, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Doctor of Technical Sciences, Professor

Department of Acoustic and Multimedia Electronic Systems

Tetiana Zheliaskova, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

PhD

Department of Acoustic and Multimedia Electronic Systems

Oleksander Chaika, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Department of Acoustic and Multimedia Electronic Systems

Nikita Naida, National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute"

Department of Acoustic and Multimedia Electronic Systems

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Published

2021-10-31

How to Cite

Korzhyk, O., Naida, S., Zheliaskova, T., Chaika, O., & Naida, N. (2021). Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries. Eastern-European Journal of Enterprise Technologies, 5(5 (113), 62–79. https://doi.org/10.15587/1729-4061.2021.243161

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Section

Applied physics