Analysis of Forced Vibrations in a Functionally Gradient Cylindrical Waveguide
- Авторы: Vatul’yan A.O.1, Yurov V.O.1
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Учреждения:
- Southern Federal University
- Выпуск: Том 64, № 6 (2018)
- Страницы: 651-658
- Раздел: Classical Problems of Linear Acoustics and Wave Theory
- URL: https://journals.rcsi.science/1063-7710/article/view/186702
- DOI: https://doi.org/10.1134/S1063771019010147
- ID: 186702
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Аннотация
Wave propagation that occurs in a prestressed cylindrical waveguide with inhomogeneity along the radial coordinate under a periodic radial load concentrated in a ring-shaped region is investigated. With the use of Fourier integral transform, the problem is reduced to analyzing an operator sheaf depending on two parameters. Structural features of the dispersion set are investigated, and displacement components are determined based on the theory of residues and the analysis of an auxiliary spectral problem.
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Об авторах
A. Vatul’yan
Southern Federal University
Автор, ответственный за переписку.
Email: vatulyan@math.rsu.ru
Россия, ul. Bol’shaya Sadovaya 105/42, Rostov-on-Don, 344006
V. Yurov
Southern Federal University
Автор, ответственный за переписку.
Email: vitja.jurov@yandex.ru
Россия, ul. Bol’shaya Sadovaya 105/42, Rostov-on-Don, 344006
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