Various methods used for determining the vessel’s dynamic squat in shallow waters and in channels from domestic and foreign researches are compared.The analyzed approaches are converted into Froude number functional dependences: linear, quadratic, cubic, complex depending on environmental conditions and the vessel’s dimensions.A comparative analysis of the equations, coefficients and numerical values of the dynamic squat under variation of the environmental conditions and the vessel’s dimensions is given.
vessel’s speed, dynamic squat, vessel’s and channel dimensions, depth, Froude number
1. Basin, A.M. Gidrodinamika sudov na melkovod'e [Tekst]/ A.M. Basin, I.O. Velednickiy, A.G. Lyahovickiy. - L.: Sudostroenie, 1976. - 320 s.
2. Vaganov, G.I. Tyaga sudov (Metodika i primery vypolneniya sudovyh tyagovyh raschetov) [Tekst]/ G.I. Vaganov, V.F. Voronin, V.K. Shanchurova. -M.: Transport, 1986. - 199 s.
3. Vas'kov, A.C. Sravnitel'nyy analiz metodov opredeleniya skorostnogo zapasa glubiny pri dvizhenii sudna na melkovod'e [Tekst]/ A.C. Vas'kov, K.P. Mamaev, S.V. Skorohodov. - Novorossiysk: NVIMU, 1989. - 61 s. - Rus - Dep. v Mortehinformreklama, №959-mf.
4. Vas'kov, A.C. Analiz metodov rascheta dinamicheskogo prosedaniya sudna [Tekst]/ A.C. Vas'kov, A.A. Mironenko// Ekspluataciya morskogo transporta. - 2020. - №4. - S.24 - 31.
5. Vorob'ev, Yu.L. [i dr.] K voprosu o navigacionnyh zapasah glubiny pod kilem sudna pri plavanii v kanalah i na melkovod'e [Tekst]// Mor. trans. Ser. «Sudovozhdenie i svyaz'». EI. V/O «Mortehinformreklama», 1986- Vyp. 9(194). - S.1 -18.
6. Klement'ev, A.N. Dinamicheskaya prosadka tolkaemyh sostavov i osobennosti ee opredeleniya [Tekst]/ A.N. Klement'ev, M.Yu. Churin, E.V. Zubkova// Nauchn. probl. vodnogo transporta. - 2020. - Vyp.62. - S. 145 - 154.
7. Kovalev, A.P. K voprosu o «prosedanii» sudna na melkovod'e i v kanale [Tekst]// Mor. trans. Ser. «Bezopasnost' moreplavaniya». EI. V/O «Mortehinformreklama», 1984- Vyp. 5(165).- S. 19 - 22.
8. Korotkov, S.N. Opredelenie bezopasnyh skorostey pri dvizhenii sudna v kanalah [Tekst]// Sovershenstvovanie gidrodinamicheskih kachestv sudov i sostavov na vnutrennih vodnyh putyah. Sb. tr. NIIVT. - 1986. - S.62 - 66.
9. Kubachev, H.A. Nekotorye voprosy bezopasnosti plavaniya po kanalam i farvateram [Tekst]/ H.A. Kubachev, A.C. Kalashnikov, B.P. Smokotin// Sudovozhdenie LVIMU im. adm. S.O.Makarova, 1977. - Vyp.22. - S.97 - 104.
10. Mastushkin, Yu.M. Gidrodinamicheskoe vzaimodeystvie sudov pri vstrechah i obgonah [Tekst]. -L.: Sudostroenie, 1987. - 124 s.
11. Mironov, G.I. Issledovanie usloviy bezopasnosti dvizheniya krupnyh passazhirskih sudov na kanalah [Tekst]: avtoref. diss. k.t.n. - Gor'kiy: GIIVT, 1973.
12. Normy tehnologicheskogo proektirovaniya morskih portov: RD 31.3.05 [Tekst]. - M.: MT RF. - 1997.- 104 s.
13. Normy proektirovaniya morskih kanalov: RD 31.31.47-88 [Tekst]. - M.: MMF SSSR. -1988. - 25 s.
14. Pavlenko, V.G. Gruzovye transportnye sredstva dlya malyh rek [Tekst]/ V.G.Pavlenko, B.M.Sahnovskiy, L.N.Vrublevskaya. - L.: Sudostroenie, 1985. -288 s.
15. Pavlenko, G.E. Metodika opredeleniya dopustimogo rezhima dvizheniya sudov na rekah i kanalah [Tekst]. - Kiev: AN USSR, 1959. - 28 s.
16. Podanev, F.I. Obespechenie bezopasnoy provodki sudov s predel'nymi osadkami [Tekst]/ F.I.Podanev, V.P.Shuvalov// Mor. transh. Ser.: Bezopasnost' moreplavaniya. EI. «Mortehinformreklama». - 1983. -Vyp.6 (156). - S. 11 - 18.
17. Polunin, A.M. Issledovaniya bezopasnosti dvizheniya rechnyh sudov na ogranichennyh glubinah [Tekst]: Avtoref. diss. k.t.n. - Gor'kiy: GIIVT, 1964.-24 s.
18. Smirnov, V.P. Eksperimental'nye issledovaniya nekotoryh voprosov bezopasnosti moreplavaniya morskih sudov na melkovod'e [Tekst]: Avtore, diss. k.t.n. - L.: LVIMU, 1978. - 26 s.
19. Snopkov, V.I. Upravlenie sudnom [Tekst].-SPb.: ANO NPO «Professional»,-2004. - 536 s.
20. Suhomel, G.I. Issledovanie dvizheniya sudov po ogranichennym farvateram [Tekst]/ G.I.Suhomel, V.M.Zass, L.I.Yankovskiy. - Kiev: AN USSR, 1956.- 163 s.
21. Churin, M.Yu. Utochnenie sposoba opredeleniya dinamicheskoy prosadki sudov v usloviyah melkovod'ya na techenii [Tekst]// Vestnik VGAVT. - 2017. - Vyp. 52. -S.205 -210.
22. Hlebnikov, L. L. Dopustimye osadka i skorost' krupnotonnazhnyh sudov na limitiruyuschih uchastkah Bursko-Dneprovskogo-Limanskogo kanala [Tekst]/ L.L. Hlebnikov, L.A. Kozar', O.I.Babich// Mor. transh. Ser. «Sudovozhdenie i svyaz'». EI V/O «Mortehinformreklama». - 1984. -Vyp. 3(168).-S. 1-6.
23. Ankudinov, V. Squat predictions for manoeuvring applications [TeKCT]/L.Dagget, G.Huval, C.Hewlett// Marine Simulation and Manoeuvrability. -Balkema-Rotterdam, 1996. -P.467 -483.
24. Barras, B.C. Ship design and performance for master and mates [Text], - Oxford: Elsevier Butterworth-Heinemann. - 2004. - 252 p.
25. Beaulieu, C. Moddlisation du surenfoncement des navires marchands qui transitent par le fleuve Saint-Laurent [Text]/ C.Beaulieu,Taha B.M.J.Ouarda, O.Seidou/ZRapport de recherche №R-974- Quebec: Genie hydraulique. - 2008. - 76 p.
26. Briggs, M. J. Ankudinov ship squat predictions - Part I: Theory, parameters and FORTRAN programs [Text]/ Coastal and Hydraulics Engineering Technical Note ERDC/CHL CHETN-IX-19,- Vicksburg, MS: U.S. Army Engineer Research and Development Center, 2009. - 16 p. http: //chi, erdc.usace. armv.mil/chetn/
27. Briggs, M. J. Ankudinov ship squat predictions - Part II: Laboratory and field comparisons and validations [Text]/ M.J.Briggs, L.Daggett// Coastal and Hydraulics Engineering Technical Note ERDC/CHL CHETN-IX-20Vicksburg, MS: U.S. Army Engineer Research and Development Center. - 2009. - 20 p. http: //chi. erdc.usace. army. mil/chetn/
28. Debaillon, P. Modelisation numerique du surenfoncement des bateaux numerical modelling of ship squat [Text]/ P.Debaillon, P.Sergent, E.Lefrancois, G.Dhatt// 10 ernes Joumees de L’hydrodynamique 7 - 9 mars 2005. - Nantes. - 13 p.
29. Demirbilek, Z. Deep-draft coastal navigation entrance channel practice [Text]/ Z.Demirbilek, F.Sargent// Coastal Engineering Technical Note CETN I-63, U.S. Army Engineer Research and Development Center, Vicksburg, MS. - 1999.http://chl.erdc.usace.armv.mil/
30. Eloot, K. An overview of squat measurements for container ships in restricted water [Text]/ SOCW 15- 16.09.2008. - Glasgow, UK. -2008. -P.106 - 116.
31. International Commission for the reception of large ships [Text]/ Report of a working group IV of Permanent International Association of Navigation Congresses. - Brussels, 1985- Bui.35 - 36 p.
32. Kazerooni, M.F. Experimental evaluation of ship squat in shallow waters [Text]/ M.F.Kazerooni, M.S.Seif// J Braz. Soc. Mech. Sei. Eng. - 2014. -P.559 - 569.
33. Kimmon, P.M. Required underkeel clearance in ports [Text]/ Transport Systems and their operators in times of change. - Rotterdam, 1982. - P. 113 - 195.
34. Kurgan, G.J. Vessels clearance criteria for great lakes channels [Text]/WaterForum81. Proc. Spec. Conf., San Francisco, Calif, 10- 14 aug. - 1981. - P. 449-455.
35. Millward, A. A comparison of the theoretical and empirical prediction of Squat in shallow water [Text]/ Int. Shipbuild. Prog. -1992. - 39. - №417. - p.69 - 78.
36. Morse, B. Ship squat in shallow and confined channels - The Canadian experience [Text]/ B.Morse, S.Michaud, A.Taschereau, R.Santerre// 2nd Squat Workshop. - 2004, Elsfleth/Oldenburg, Germany. - 9 p.
37. Sommet, J. Maneuvering in shallow waters. The problem of squat and sinkage [Text]/ The 1-st Int. Symp. on ships approach and berthing maneuvers. -Grenobll, 1977.-P.19-23.
38. Tuck E.O. Sea wave pattern evaluation. Part 5. Speed-up and Squat [Text]/ E.O.Tuck, D.C.Scullen, L.Lazauskas// Applied Mathematics Department The University of Adelaide. - 2001. - 21 p.
39. Underkeel clearance for large ships in maritime fairways with hard bottom [Text]/ Report of a working group of the Permanent Technical Committee II of International Association of Navigation Congresses. -1985. -Bul.51. -24 p.
40. Vermer, Jr.H. The behavior a ship in Restricted waters [Text]/ Int. ship build, progr., 1977. - V.24. -№280.-P. 323-336.
