Research output: Contribution to journal › Article › peer-review
Analytical definition of a free surface in the sloshing problem. / Kuteeva, G. A.
In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 3, 01.12.2001, p. 55-60.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Analytical definition of a free surface in the sloshing problem
AU - Kuteeva, G. A.
PY - 2001/12/1
Y1 - 2001/12/1
N2 - A sloshing problem in a surge (horizontally) excited partly filled reservoir is considered. Obtaining of free surface elevation by the variational method in two-dimensional problem leads to the system of a non-linear differential equations. This system is analytically solved when the frequency of exciting is equal to the first natural frequency of fluid inside the reservoir. The asymptotic method of Krylov and Bogolubov is used. The expression of free surface elevation is given for the two-dimensional rectangular reservoir.
AB - A sloshing problem in a surge (horizontally) excited partly filled reservoir is considered. Obtaining of free surface elevation by the variational method in two-dimensional problem leads to the system of a non-linear differential equations. This system is analytically solved when the frequency of exciting is equal to the first natural frequency of fluid inside the reservoir. The asymptotic method of Krylov and Bogolubov is used. The expression of free surface elevation is given for the two-dimensional rectangular reservoir.
UR - http://www.scopus.com/inward/record.url?scp=0035779668&partnerID=8YFLogxK
M3 - статья
AN - SCOPUS:0035779668
SP - 55
EP - 60
JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ
SN - 1025-3106
IS - 3
ER -
ID: 35523996