The object of the present study is an amphibious air cushion vehicle with pneumatic balloons as a board seal. The paper presents the method of calculating curves of static stability for such ships. The method takes into account the impact of an air cushion upon a hull. The proposed method determines the righting moment for a given angle of heel. Mathematically, the problem is formulated as follows: it is necessary to solve the equation of vertical motion of the ship's center of gravity and equations of air mass balance for each air cushion section. The numerical solution technique is semi-implicit Euler method. For accurate simulation of air cushion dynamics it is necessary to take into account deformations of a free surface under a ship's hull. One of the ways of performing the simulation is by using approximations of a series of numerical fluid dynamics simulations. The proposed method has been validated against the results of full scale testing..

Keywords: аir cushion vehicle, ballonet, stability, surface effect ship, amphibious vehicle, air cushion, mathematical modeling, curve of static stability.

UDC 629.123

About authors:

F.S. Peplin - Lobachevsky State University, Nizhny Novgorod, e-mail: f-peplin@yandex.ru

D.T. Chekmarev - DSc, Lobachevsky State University, Nizhny Novgorod, e-mail: 4ekm@mm.unn.ru

K.A. Okhotin - Shipbuilding Company AEROHOD Ltd., Nizhny Novgorod, e-mail: ohotin-kirill@yandex.ru

V.V. Shabarov - PhD, Shipbuilding Company AEROHOD Ltd., Nizhny Novgorod, e-mail: isadymacar@yandex.ru

Pages: 31-38

References

1. Pravila klassifikatsii i postroyki morskikh sudov. Chast' IV. Ostoychivost' [Rules for the Classification and Construction of Sea-Going Ships. Part IV. Stability]. Rossiyskiy morskoy registr sudokhodstva [Russian Maritime Register of Shipping]. St. Petersburg, 2018.

2. Pravila klassifikatsii i postroyki vysokoskorostnykh sudov [Rules for the Classification and Construction of High-Speed Craft]. Rossiyskiy morskoy registr sudokhodstva [Russian Maritime Register of Shipping]. St. Petersburg, 2018.

3. Pravila klassifikatsii i postroyki sudov (PKPS) [Rules for the Classification and Construction of Ships]. Rossiyskiy Rechnoy Registr [Russian River Register]. Moscow, 2015.

4. Pravila obespecheniya bezopasnosti sudov s dinamicheskimi printsipami podderzhaniya [Rules for Providing Safety for Ships with Dynamical Support]. Registr SSSR, 1990.

5. Demeshko G.F. Proektirovanie sudov. Amfibiynye SVP: Uchebnik. V 2-kh kn. Kn. 2 [Design of Ships. Amphibious air cushion vehicles: textbook. Vol. 2]. St. Petersburg, Sudostroenie, 1992, 329 p.

6. Smirnov S.A.. Suda na vozdushnoy podushke skegovogo tipa [Surface effect ships]. Leningrad, Sudostroenie, 1983, 216 p.

7. Niiranen, Jouko: Fast and accurate symmetric Euler algorithm for electromechanical simulations. Proceedings of the Electrimacs'99, Sept. 14-16, 1999 Lisboa, Portugal, vol. 1, pp. 71 – 78.

8. Bayraktar Ersan D., Beji. S. Numerical simulation of waves generated by a moving pressure patch. Ocean Engineering. 2013, vol. 59, pp. 231 – 239.

9. Sahin Iskender, Hyman M.C.. Simulation of three-dimensional finite-depth wave phenomenon for moving pressure distributions. Ocean Engineering. 2001, vol. 28, pp. 1621 – 1630.

10. Maki K.J., Broglia R., Lawrence J. Doctors, Andrea Di Mascio. Nonlinear wave resistance of a two-dimensional pressure patch moving on a free surface. Ocean Engineering. 2012, vol. 39, pp. 62 – 71.

11. Shabarov V.V., Chekmarev D.T., Tumanin A.V., Peplin F.S. Opredelenie dempfiruyushchikh sil, voznikayushchikh pri vertikalnykh kolebaniyakh sudna na vozdushnoy podushke na kreyserskom rezhime dvizheniya [Determination of Damping Forces of Air Cushion Vehicles in Vertical Motion]. Vestnik VGAVT. 2018, № 55, pp. 73 – 82.

12. Bogdanov A.I., Ivanov E.A. Ispytaniya passazhirskogo SVP «Zarnitsa» po opredeleniyu vliyaniya skorosti khoda na poperechnuyu ostoychivost' [The Experimental Determination of the transversal stability characteristics of the Passenger Surface Effect Ship "Zarnitsa" for different operational speeds] – V sb. «Morekhodnye kachestva sudov» Trudy TsNIIMF. 1977, vyp. 221, pp. 116 – 120.

13. Eremeyev V., Peplin F., Tumanin A. Mathematical Model of Dynamics of Air Cushion Vehicle with Ballonet Type Skirt on Water. Procedia Engineering. 2017, vol. 206, pp. 354 – 359.

For citation: F.S. Peplin, D.T. Chekmarev, K.A. Okhotin, V.V. Shabarov. Stability of amphibious air cushion vehicles with ballonet type board seals in operational conditions.  Research Bulletin by Russian Maritime Register of Shipping. 2019,  No. 54/55, pp. 31-38.