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PONAŠANJE BRODA NA TALASIMA____________________________Koeficijenti u jednačinama su∫ ∫ ∫L L L′ ∫2, ′ ∫,′∫m = m′ dx , m = m′ x 2 dx , m = m = m′xdxζ ζ ψ ζ ζψ ψζ ζn = n dx n = n x dx n = n = n xdxζ ζ ψ ζ ζψ ψζ ζL L LPri čemum′ = m′( x)n′ = n′() xζζpredstavljaju dodatnu masu i prigušenje rebra koje vršivertikalno oscilatorno kretanje – poniranje.Da bi odredili dili ove koeficijente, ij treba rešiti 2D problemstrujanja oko rebra...Svođenje realnog 3D problema strujanja na ravanskostrujanje oko rebra (trake) naziva se “strip teorija” ...Uvedena 1957-70, i predstavlja jedan od nekolikoključnih č koraka k u razvoju ponašanja broda na talasimaPrikazane jednačine (sa dodatnom, desnom stranom –talasima) izveli su Korvin-Krukovski i Džejkobs(Korvin-Kroukovsky & Jacobs) 1957. godine...ζζPrve, i ne sasvim tačne...Kasnije, različite verzije...Söding...Tasai...Ruski autori...Salvesen, Tuck &Faltinsen, 1970)Jednačine su veoma slične, irazlikuju se (uglavnom) samou članovima uz v o u jednačiniposrtanja...Strip teorija važi ukolikoje brod dovoljno vitak, abrzina dovoljno mala ... ?Teško je povući granicu...Grubo L/B>5(3)F R < 0,3 (0,6)Ako je brod zdepastiji, ilibrži, druge 3D metode...PREDAVANJA 2009. 25
PONAŠANJE BRODA NA TALASIMA____________________________Jednačine su spregnute...U jednačini posrtanja,javlja se poniranje, ujednačini posrtanja javljase poniranje...Fizički, nema poniranjabez posrtanja, i obrnuto...Šta spreže jednačine?Napredovanje brodaUkoliko je vo= 0deo članova koji sprežujednačine, otpada...Spreže i asimetrija pramac – krmaJednačine sadrže “mešovite članove”∫m = m′ xdx = m , n = n′xdx = nψζ ζ ζψ ψζ ζ ζψLUkoliko bi postojala simetrija pramac – krma, odnosnoukoliko bi glavno rebro bilo ravan simetrije i u pogleduforme i u pogledu mase...važilo bip∫−∫ ∫ ∫kk0 x 0 x− m′ xdx = m′ xdx , − n′ xdx =n′xdxζ ζ ζ ζx 0 x 0odnosno m = m = 0 , n = n = 0ζψψζSpregnute jednačine bi postale nezavisne, odnosno svele se na∫Lζψψζp ( D + m ) ζ + n ζ + ρgA ζ −m( Dψ+ −m( ζn) ζ G −+ vnmζζ G ) ψ+ −ρ gA VL ζ G=0ζ G ζ G VL G ζψ ζψ o ζ( J −( ρgAVLxC − vonζ) ψ = 0 ,y+ m ) ψψ + nψψ+ ρgIyψ= 02( Jy + mψ) ψ + nψψ+ ( ρgIy −vomζ −vonψζ) ψ −Nezavisno poniranje i nezavisno posrtanje koje smo ranijerazmatrali, −m moguće ζ − ( n je + samo v mpod ) ζ specijalnim − ρgA x uslovima... ζ = 0 .ψζ G ψζ o ζ G VL C GPREDAVANJA 2009. 26
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