 | | 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: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| << Previous article | Volume 59, Issue 1 / 2024 | Next article >> |
| A.I. Karakozova, "Spatial Dispersion of Acoustic Waves in Functionally Graded Rods," Mech. Solids. 59 (1), 75-84 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
1 |
Pages |
75-84 |
| DOI |
10.1134/S0025654423600289 |
| Title |
Spatial Dispersion of Acoustic Waves in Functionally Graded Rods |
| Author(s) |
A.I. Karakozova (National Research Moscow State University of Civil Engineering, Moscow, 129337 Russia, karioca@mail.ru) |
| Abstract |
Harmonic acoustic waves in a semi-infinite functional-gradient (FG) one-dimensional rod
with arbitrary longitudinal inhomogeneity are analyzed by a combined method based on the modified
Cauchy formalism and the method of exponential matrices. Closed dispersion equations for harmonic
waves are constructed, from the solution of which implicit dispersion relations for acoustic waves in
FG rods are obtained. For longitudinal heterogeneity of polynomial type, the corresponding dispersion relations are constructed explicitly. |
| Keywords |
acoustic wave, heterogeneous rod, signal attenuation, displacement magnitude, longitudinal heterogeneity |
| Received |
01 February 2023 | Revised |
23 February 2023 | Accepted |
27 February 2023 |
| Link to Fulltext |
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