Vibrations of a Fluid Containing a Wide Spaced Net with Floats Under Its Free Surface
- Авторлар: Erov S.1, Chechkin G.1
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Мекемелер:
- Moscow State University
- Шығарылым: Том 234, № 4 (2018)
- Беттер: 407-422
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241916
- DOI: https://doi.org/10.1007/s10958-018-4019-2
- ID: 241916
Дәйексөз келтіру
Аннотация
We consider the problem of low-frequency vibrations of a heavy viscous incompressible fluid occupying a vessel. Under the free surface of the fluid, there is a wide spaced net with floats forming a nonperiodic structure. On the walls of the vessel and the surface of the floats the adhesion condition (zero Dirichlet condition) is imposed. For this problem, which is formulated in terms of a quadratic operator pencil, we construct a limit (homogenized) pencil and establish a homogenization theorem in the case of a “fairly small” number of floats. It is shown that asymptotically, this structure does not affect free vibrations of the fluid.
Авторлар туралы
S. Erov
Moscow State University
Email: chechkin@mech.math.msu.su
Ресей, Moscow
G. Chechkin
Moscow State University
Хат алмасуға жауапты Автор.
Email: chechkin@mech.math.msu.su
Ресей, Moscow