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2017, 3

A. D. Lapin

Absorption of a sound by a grating of resonators with a friction in a standing field

language: Russian

received 18.05.2017, published 20.06.2017

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The problem of the scattering of sound from the grating of Helmholtz resonators with friction is considered. This grating is located at a distance D from the wall, characterized by reactive impedance. The solution is obtained by the self-consistent field method. It is shown that a grating of resonators with a certain friction located at the antinode pressure of the total field of the incident and reflected waves completely absorbs the reflected resonant frequency wave.

Key words: Helmholtz resonator, effective impedance, diffraction grating, self-consistent field method.

6 pages, 0 figures

Сitation: A. D. Lapin. Absorption of a sound by a grating of resonators with a friction in a standing field. Electronic Journal “Technical Acoustics”,, 2017, 3.


1. Исакович М. А. Общая акустика М.: Наука, 1973. 496 с.
2. Morse P. M., Ingard K. U. Theoretical Acoustics. McGraw-Hill, New York, 1968.
3. Ржевкин С. Н. Курс лекций по теории звука. Издательство Московского университета, 1960. 336 с.
4. Лапин А. Д., Миронов М. А. Изоляция звукового поля плоской решеткой малых рассеивателей. Сборник трудов X1 сессии РАО. М.: ГЕОС, 2001. Т. 1. С. 192-194.
5. Лапин А. Д. Отражение звука решеткой резонаторов в многомодовом цилиндрическом волноводе // Акуст. журн. 2012. Т. 58. № 5. С. 580-582.
6. Иванов В. П. Гашение звукового поля в круглом волноводе, оснащенном резонатором Гельмгольца. // Проблемы машиностроения и надежности машин. 2010. №3. С. 18-26.
7. Santillan A., Bozhevolnyi S. I. Acoustic transparency and slow sound using detuned acoustic resonators. // Phys. Rev. B. 2011. V. 84. № 6. P. 064304.
8. Wang Z. G., Lee S.H., Park S. M., Nahm K., Nikitov S. A. Acoustic wave propagation in one-dimensional phononic crystals containing Helmholtz resonftors // Journ. Appl. Phys. 2008. V. 103. № 6. P. 064907.
9. Sugimoto N. Acoustic solitary waves in a tunnel with an array of Helmholtz resonators // J. Acoust. Soc. Am. 1999. V .99. № 4. P. 1971-1976.


Alexander Lapin Alexander Lapin graduated from the Lobachevsky Nizhny Novgorod State University, radiophysics faculty in 1954. Doctor of physico-mathematical Sciences, Professor. Since 1954 he works at the Andreev Acoustics Institute, currently he is the chief researcher. Research interests: propagation and diffraction of waves.

E-mail: lapin1932(at)