The determination of nonlinear second-order forces due to frequency difference and occuring during the transverse motions of the contours in calm water

Authors: V.Y. Semyonova, Kiav Tkhura

Abstract

The article deals with two-dimensional nonlinear problem of the potential motions of the contour in the fluid of infinite depth. Nonlinear forces due to the difference of the frequency, are determined up to the second order, taking into account the corresponding nonlinear boundary conditions on the contour and the free surface of the liquid. The developed method and program are tested. The study of the influence of geometric parameters of the contour on the values of nonlinear forces is considered.
Keywords: nonlinear forces of the second order, method of integral equations, the difference of frequencies, non-linear boundary condition at the free surface of the liquid.

References

1. Semenova V.Ju., Kiav Thura Opredelenie nelinejnyh sil vtorogo porjad-ka, obuslovlennyh raznost'ju chastot pri difrakcii volnenija ot nepodvizh-nogo kontura. Morskie intellektual'nye tehnologii , N4(30), t.1,2015, str.16-22
2. Semenova V.Ju. (2007) Raschet nelinejnyh sil vtorogo porjadka, obuslov-lennyh summoj i raznost'ju chastot i voznikajushhih pri difrakcii neregu-ljarnogo volnenija ot shpangoutnogo kontura. Zhurnal Morskoj Vestnik N3 (6),str.43-47
3. Semenova V.Ju. “ Razrabotka metoda rascheta nelinejnoj kachki sudov”. Diss. na soiskanie uch. stepeni d.t.n. B-ka SPbGMTU 2005g
4. Papanikolaou A.(1988) On the solution of the quasi-third order problem of two-dimensional cylinders in Forced –Motion . Journal of the Kansai society of Naval Architecture of Japan N 210, pp.121-133.
5. Wehausen J.V., Laitone E.V. Surface waves. Encyclopedia of Physics. Berlin, Springer-Verlag, 1960, v.9, p.446-778

About authors

Semyonova Viktoria - DSc, professor, State Marine Technical University of St. Petersburg
sem_viktoria@mail.ru

Kiav Tkhura - postgraduate, State Marine Technical University of St. Petersburg
ktra29188@gmail.com

Issue: 42/43 (2016)

For citation: V.Y. Semyonova, Kiav Tkhura. The determination of nonlinear second-order forces due to frequency difference and occuring during the transverse motions of the contours in calm water. Research Bulletin by Russian Maritime Register of Shipping. 2016, No. 42/43, pp. 75-82.

* * *

UDC: 629.12.073.243.4
Pages: 75-82