Application of partial areas method in the problem of sound radiation by a sphere in a waveguide with soft acoustically boundaries
DOI:
https://doi.org/10.15587/1729-4061.2021.243161Keywords:
acoustic field, acoustic plane-parallel waveguide, spherical source, partial regionsAbstract
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
References
- Brillouin, L. (1960). Wave Propagation and Group Velocity. Academic Press, 166. Available at: https://www.elsevier.com/books/wave-propagation-and-group-velocity/brillouin/978-1-4832-3068-9
- Brekhovskikh, L. (1976). Waves in Layered Media. Academic Press, 520. Available at: https://www.elsevier.com/books/waves-in-layered-media/brekhovskikh/978-0-12-130560-4
- Mann, J. A., Tichy, J., Romano, A. J. (1987). Instantaneous and time‐averaged energy transfer in acoustic fields. The Journal of the Acoustical Society of America, 82 (1), 17–30. doi: http://doi.org/10.1121/1.395562
- Mobarakeh, P. S., Grinchenko, V. T., Popov, V. V., Soltannia, B., Zrazhevsky, G. M. (2020). Contemporary Methods for the Numerical-Analytic Solution of Boundary-Value Problems in Noncanonical Domains. Journal of Mathematical Sciences, 247 (1), 88–107. doi: http://doi.org/10.1007/s10958-020-04791-4
- Korzhyk, O., Naida, S., Kurdiuk, S., Nizhynska, V., Korzhyk, M., Naida, A. (2021). Use of the pass-through method to solve sound radiation problems of a spherical electro-elastic source of zero order. EUREKA: Physics and Engineering, 5, 133–146. doi: http://doi.org/10.21303/2461-4262.2021.001292
- Mobarakeh, P. S., Grinchenko, V. T. (2015). Construction Method of Analytical Solutions to the Mathematical Physics Boundary Problems for Non-Canonical Domains. Reports on Mathematical Physics, 75 (3), 417–434. doi: http://doi.org/10.1016/s0034-4877(15)30014-8
- Kazak, M. S., Petrov, P. S. (2020). On Adiabatic Sound Propagation in a Shallow Sea with a Circular Underwater Canyon. Acoustical Physics, 66 (6), 616–623. doi: http://doi.org/10.1134/s1063771020060044
- Diubchenko, M. E. (1984). Vlyianye osesymmetrychnikh mod kolebanyi na chuvstvytelnost y kharakterystyky napravlennosty pezokeramycheskoi sferi. Akustycheskyi zhurnal, 30 (4), 477–481. Available at: http://www.akzh.ru/pdf/1984_4_477-481.pdf
- Leiko, O., Derepa, A., Pozdniakova, O., Starovoit, Y. (2018). Acoustic fields of circular cylindrical hydroacoustic systems with a screen formed from cylindrical piezoceramic radiators. Romanian Journal of Acoustics and Vibration, 15 (1), 41–46. Available at: http://rjav.sra.ro/index.php/rjav/article/view/49
- Aronov, B. (2009). Coupled vibration analysis of the thin-walled cylindrical piezoelectric ceramic transducers. The Journal of the Acoustical Society of America, 125 (2), 803–818. doi: http://doi.org/10.1121/1.3056560
- Filipova, N. Y., Korzhik, O. V., Chayka, A. S., Naida, S. A., Korzhik, M. O. (2020). Dynamics of Receiving Electroelastic Spherical Shell with a Filler. Journal of Nano- and Electronic Physics, 12 (4), 04034–1–04034–7. doi: http://doi.org/10.21272/jnep.12(4).04034
- Volodicheva, M. I., Lopukhov, K. V. (1994). Vliianie sferichnosti akusticheskoi volny na koeffitsient ee otrazheniia ot ploskoi granitsy razdela dvukh zhidkikh sred. Akusticheskii zhurnal, 40 (5), 768–772. Available at: http://www.akzh.ru/htm/1994_5.htm
- Kuperman, W., Roux, P.; Rossing, T. (Ed.) (2007). Underwater Acoustics. Marine Phisical laboratory. Springer Handbook of Acoustics. New York: Springer, 149–209. doi: http://doi.org/10.1007/978-0-387-30425-0_5
- Saheban, H., Kordrostami, Z. (2021). Hydrophones, fundamental features, design considerations, and various structures: A review. Sensors and Actuators A: Physical, 329, 112790. doi: http://doi.org/10.1016/j.sna.2021.112790
- Leiko, O., Derepa, A., Pozdniakova, O., Maiboroda, O. (2020). On the Peculiarities of Matching an Electric Generators with an Electromechanical Energy Transducers. IEEE 40th International Conference on Electronics and Nanotechnology, 842 847. doi: http://doi.org/10.1109/elnano50318.2020.9088812
- Hrynchenko, V. T., Vovk, I. V., Matsypura, V. T. (2007). Osnovy akustyky. Kyiv: Naukova dumka, 640. Available at: http://hydromech.org.ua/ru/books
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