 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 8 / 2023 | Next article >> |
| Phyo Ko Ko, "Natural Vibrations of a Gas in a Helmholtz Resonator with a Periodically Varying Cross Section," Mech. Solids. 58 (8), 2944-2949 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
8 |
Pages |
2944-2949 |
| DOI |
10.3103/S0025654423080162 |
| Title |
Natural Vibrations of a Gas in a Helmholtz Resonator with a Periodically Varying Cross Section |
| Author(s) |
Phyo Ko Ko (Bauman Moscow State Technical University, Moscow, 105005 Russia, phyokoko4387@gmail.com) |
| Abstract |
Within the framework of the long-wave approximation, the frequencies and shapes of gas
natural oscillations in a Helmholtz resonator having the shape of a pipe of periodic cross section have
been studied. The problem is reduced to the Sturm–Liouville problem with boundary conditions of
the first kind, the solution of which is carried out by the method of accelerated convergence. A detailed
analysis of the dependences of eigenvalues and eigenfunctions on pipe parameters was carried out.
A “self-similar” type of dependence of the natural frequency for various modes has been revealed.
The values of the resonator periodicity parameters at which a sharp change in the natural frequency
occurs are determined. |
| Keywords |
resonator, gas natural oscillations, accelerated convergence method |
| Received |
02 September 2023 | Revised |
01 October 2023 | Accepted |
10 October 2023 |
| Link to Fulltext |
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