Geodesic
Axiradial acoustic eigenoscillations near a~thin-walled obstacle in a~cylindrical channel with narrowing steps
Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 131-141.

Voir la notice de l'article provenant de la source Math-Net.Ru

We study the dependence of the eigenfrequencies and eigenfunctions of acoustic axiradial oscillations near a thin-walled obstacle in a channel with narrowing steps of the geometric parameters of the oscillation domain. It is discovered that, near thin-walled cylindrical obstacles, in an inhomogeneous cylindrical channel with two-sided narrowing cylindrical step, the number of the acoustic eigenfrequencies of acoustic axisymmetric oscillations of the gas can increase. We obtain the dependencies of the eigenfrequencies on the geometric parameters of the obstacle and on the inhomogeneities of the channel. We study the dependence of the eigenfrequencies and eigenfunctions of acoustic axiradial oscillations near a thin-walled obstacle in a channel with narrowing steps of the geometric parameters of the oscillation domain. It is discovered that, near thin-walled cylindrical obstacles, in an inhomogeneous cylindrical channel with two-sided narrowing cylindrical step, the number of the acoustic eigenfrequencies of acoustic axisymmetric oscillations of the gas can increase. We obtain the dependencies of the eigenfrequencies on the geometric parameters of the obstacle and on the inhomogeneities of the channel.
Keywords: acoustic eigenoscillations in an unbounded domain, resonance phenomena, spectral properties of a Laplace operator, thin-walled obstacle in channels and tubes. 
@article{SJIM_2013_16_4_a11,
     author = {N. A. Khasanov and S. V. Sukhinin},
     title = {Axiradial acoustic eigenoscillations near a~thin-walled obstacle in a~cylindrical channel with narrowing steps},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {131--141},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a11/}
}
TY  - JOUR
AU  - N. A. Khasanov
AU  - S. V. Sukhinin
TI  - Axiradial acoustic eigenoscillations near a~thin-walled obstacle in a~cylindrical channel with narrowing steps
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2013
SP  - 131
EP  - 141
VL  - 16
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a11/
LA  - ru
ID  - SJIM_2013_16_4_a11
ER  - 
%0 Journal Article
%A N. A. Khasanov
%A S. V. Sukhinin
%T Axiradial acoustic eigenoscillations near a~thin-walled obstacle in a~cylindrical channel with narrowing steps
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2013
%P 131-141
%V 16
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a11/
%G ru
%F SJIM_2013_16_4_a11
N. A. Khasanov; S. V. Sukhinin. Axiradial acoustic eigenoscillations near a~thin-walled obstacle in a~cylindrical channel with narrowing steps. Sibirskij žurnal industrialʹnoj matematiki, Tome 16 (2013) no. 4, pp. 131-141. http://geodesic.mathdoc.fr/item/SJIM_2013_16_4_a11/

[1] Sukhinin S. V., “Sobstvennye kolebaniya v otkrytykh tsilindricheskikh oblastyakh”, Dinamika sploshnoi sredy, 110, 1995, 139–152 | MR

[2] Sukhinin S. V., “Akusticheskie kolebaniya okolo tonkostennykh tsilindricheskikh prepyatstvii v kanale”, Prikl. mekhanika i tekhn. fizika, 40:4 (1999), 133–142 | MR | Zbl

[3] Bardakhanov S. P., Belai O. V., “Vozbuzhdenie subgarmonicheskikh vozmuschenii v osesimmetrichnom techenii s kogerentnymi strukturami v rezhime aeroakusticheskogo rezonansa”, Prikl. mekhanika i tekhn. fizika, 41:4 (2000), 59–68

[4] Khasanov N. A., “Akusticheskie kolebaniya gaza vblizi vlozhennykh tonkostennykh tsilindricheskikh prepyatstvii v kanale”, Prikl. mekhanika i tekhn. fizika, 52:4 (2011), 91–99 | MR | Zbl

[5] Rid M., Saimon B., Metody sovremennoi matematicheskoi fiziki, v. 4, Analiz operatorov, Mir, M., 1977

[6] Sukhinin S. V., Bardakhanov S. P., “Eolovy tona plastiny v kanale”, Prikl. mekhanika i tekhn. fizika, 39:2 (1998), 69–77 | MR | Zbl

[7] Sukhinin S. V., “Sobstvennye kolebaniya okolo plastiny v kanale”, Prikl. mekhanika i tekhn. fizika, 39:2 (1998), 78–90 | MR | Zbl

[8] Khasanov N. A., Sukhinin S. V., “Sobstvennye akusticheskie kolebaniya okolo tonkostennykh prepyatstvii v koltsevom tsilindricheskom kanale”, Sib. zhurn. industr. matematiki, 16:1(53) (2013), 116–125

[9] Sanchez-Palensiya E., Neodnorodnye sredy i teoriya kolebanii, Mir, M., 1984 | MR

[10] Bardakhanov S. P., Moroz A. A., Potapkin A. V., Khlyustin A. V., Payalnaya lampa, Patent RF No 2062187 ot 20.06.1997