Особливі точки векторного поля інтенсивності в хвилеводі з комбінованими границями

Oleksander Serhiiovych Chaika; Mykhailo Oleksiiovych Yaroshenko; Oleksii Volodymyrovych Korzhyk

doi:10.20535/2523-4455.2018.23.1.107853

Vol. 23 · Issue 1 · 2018 Feb 28, 2018 Acoustical devices and systems

Singular points of vector intensity’s field in waveguide with combine boundaries

Oleksander Serhiiovych Chaika Corresponding Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Mykhailo Oleksiiovych Yaroshenko Національний технічний університет України "Київський політехнічний інститут імені Ігоря Сікорського" Ukraine

Oleksii Volodymyrovych Korzhyk Національний Технічний Університет України "Київський Політехнічний Інститут імені Ігоря Сікорського" Ukraine

Pages44-51 PublishedFeb 28, 2018

PDF (Ukrainian)

VOL 23 · ISS 1 · 2018 View issue

Abstract

The article was dedicated to research of acoustic field, that formed by the sound source in shallow water. Shallow water was introduced by the waveguide with combine boundaries, where button boundary is a soft boundary and top boundary is a hard boundary. Source’s location can change in waveguide’s width range. Pressure field obtained as a precise solution of Helmholtz equation. A source with small wave dimensions, that emanate normal acoustic waves, created the field of intensity. Field have local-vortex structure is subject to superimposition of oscillation modes. Took into account ratio of pressure to particle velocity. This ratio helps to define the module of intensity and angle of inclination relative to the horizontal axis of the waveguide. Obtained distribution of intensity’s vector for the combination of next parameters: sea’s depth(width of the waveguide), oscillation frequency, source’s location and choice of point of monitoring in terms combine boundaries. Graphics show dependencies vector field of intensity in waveguide’s space, also show a heterogeneous structure of intensity’s field and dependence of an intensity’s distributions on mutual source’s and receiver’s location. In obtained distributions vector field on intensity defined points of local minimums of intensity, a position of vortex structures, directions of vortex’s rotation around singular points, also, defined mathematical conditions of their occurrence and defined the spatial frequency of such structures. Showed, that intensity’s distribution have the asymmetric view relative to the axis of source’s location, vortex point corresponds minimum of pressure at this point and saddle point corresponds minimum of particle velocity in saddle point. Ref. 11, fig. 8.

Keywords

#intensity #singular point #pressure #particle velocity #shallow water

References

C. F. Chien and R. V. Waterhouse, “Singular points of intensity streamlines in two-dimensional sound fields,” J. Acoust. Soc. Am. , vol. 101, no. 2, pp. 705–712, 1997, DOI: 10.1121/1.418034 .
V. A. Gordienko, Vektorno-fazovyie metodyi v akustike [Vector-phase methods in acoustics] . Moscow, Russia: PHISMATHLIT, 2007.
O. R. Lastovenko, V. A. Lisiutin, and A. A. Yaroshenko, “Osobennosti vektornyih akusticheskih poley v volnovodah melkogo morya [Vector acoustic fields features in waveguides of the shallow water],” in Consonance. Acoustic symposium. , 2011, pp. 188–193.
V. A. Shcurov, V. P. Kuleshov, and A. V. Cherkasov, “Vyihrevyie svoystva vektora akusticheskoy intensivnosti v melkom more [Intensity’s vortex properties in shallow water],” Acoust. J. , vol. 57, no. 6, pp. 837–843, 2011, URL: http://www.akzh.ru/pdf/2011_6_837-843.pdf .
P. H. Dahl and D. R. Dall’Osto, “On the underwater sound field from impact pile driving: Arrival structure, precursor arrivals, and energy streamlines,” J. Acoust. Soc. Am. , vol. 142, no. 2, pp. 1141–1155, 2017, DOI: 10.1121/1.4999060 .
D. R. Dall’Osto, P. H. Dahl, and J. Woong Choi, “Properties of the acoustic intensity vector field in a shallow water waveguide,” J. Acoust. Soc. Am. , vol. 131, no. 3, pp. 2023–2035, 2012, DOI: 10.1121/1.3682063 .
P. H. Dahl, D. R. Dall’Osto, and D. M. Farrell, “The underwater sound field from vibratory pile driving,” J. Acoust. Soc. Am. , vol. 137, no. 6, pp. 3544–3554, 2015, DOI: 10.1121/1.4921288 .
V. T. Grinchenko, I. V. Vovk, and V. T. Matsyipura, Osnovyi akustiki [Basics of Acoustics] . Kyiv, Ukraine: IGM NANU, 2009.
M. I. Karnovskiy, Asimptoticheskie metodyi v akustike [Asymptotic methods in acoustics] . Kyiv, USSR: KPI, 1982.
V. V. Meleshko, V. T. Matsiupura, and I. A. Ulitko, Teoriya volnovodov [Waveguide’s theory] . Kyiv, Ukraine: PCC Kyiv University, 2013.
A. P. Stashkevich, Akustika morya [Acoustic of sea] . Leningrad, USSR: Sudostroenie, 1966.

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§ 06 — Related

[1] C. F. Chien and R. V. Waterhouse, “Singular points of intensity streamlines in two-dimensional sound fields,” J. Acoust. Soc. Am. , vol. 101, no. 2, pp. 705–712, 1997, DOI: 10.1121/1.418034 .

[2] V. A. Gordienko, Vektorno-fazovyie metodyi v akustike [Vector-phase methods in acoustics] . Moscow, Russia: PHISMATHLIT, 2007.

[3] O. R. Lastovenko, V. A. Lisiutin, and A. A. Yaroshenko, “Osobennosti vektornyih akusticheskih poley v volnovodah melkogo morya [Vector acoustic fields features in waveguides of the shallow water],” in Consonance. Acoustic symposium. , 2011, pp. 188–193.

[4] V. A. Shcurov, V. P. Kuleshov, and A. V. Cherkasov, “Vyihrevyie svoystva vektora akusticheskoy intensivnosti v melkom more [Intensity’s vortex properties in shallow water],” Acoust. J. , vol. 57, no. 6, pp. 837–843, 2011, URL: http://www.akzh.ru/pdf/2011_6_837-843.pdf .

[5] P. H. Dahl and D. R. Dall’Osto, “On the underwater sound field from impact pile driving: Arrival structure, precursor arrivals, and energy streamlines,” J. Acoust. Soc. Am. , vol. 142, no. 2, pp. 1141–1155, 2017, DOI: 10.1121/1.4999060 .

[6] D. R. Dall’Osto, P. H. Dahl, and J. Woong Choi, “Properties of the acoustic intensity vector field in a shallow water waveguide,” J. Acoust. Soc. Am. , vol. 131, no. 3, pp. 2023–2035, 2012, DOI: 10.1121/1.3682063 .

[7] P. H. Dahl, D. R. Dall’Osto, and D. M. Farrell, “The underwater sound field from vibratory pile driving,” J. Acoust. Soc. Am. , vol. 137, no. 6, pp. 3544–3554, 2015, DOI: 10.1121/1.4921288 .

[8] V. T. Grinchenko, I. V. Vovk, and V. T. Matsyipura, Osnovyi akustiki [Basics of Acoustics] . Kyiv, Ukraine: IGM NANU, 2009.

[9] M. I. Karnovskiy, Asimptoticheskie metodyi v akustike [Asymptotic methods in acoustics] . Kyiv, USSR: KPI, 1982.

[10] V. V. Meleshko, V. T. Matsiupura, and I. A. Ulitko, Teoriya volnovodov [Waveguide’s theory] . Kyiv, Ukraine: PCC Kyiv University, 2013.

[11] A. P. Stashkevich, Akustika morya [Acoustic of sea] . Leningrad, USSR: Sudostroenie, 1966.

Singular points of vector intensity’s field in waveguide with combine boundaries

Abstract

Keywords

References

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