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PONAŠANJE BRODA NA TALASIMA____________________________Pomeranje (poniranje i posrtanje)proizvoljne tačke broda jednako je zbiru(razlici) harmonijskih funkcija istefrekvencije...vvaaTakav zbir (razlika) je opetharmonijska funkcija...ηC = ηC sin( ω )o Tt−γCηζ = ζ sin( ω t −γ)Pa jeC C T Co= η = η ω cos( ω t−γ)oη= ζ = ζ ω cos( ω t−γ)C C C T T CηC C C T T Cζo2= η =− η ω sin( ω t −γ)C C C T T Cηo2= ζ = −ζ ω sin( ω t−γ)C C C T T CζoζηζζZa amplitude i fezne pomeraje dobija senakon trigonometrijskog računa...2 2 2η = η + z ϕ −2η z ϕ cos( γϕ −γη)C G C o G C oo o o2 2 2ζC = ζG + xCϕo + 2ζG xCϕosin( γϕ −γζ)o o oγCγηCζ⎛η sinsinGγo η− zCϕoγ ⎞ϕ= arctg⎜ηG cosγ z coso η Cϕoγ ⎟⎝−ϕ ⎠⎛ζG sinγ coso ζ− xCϕoγ ⎞ϕ= arctg⎜ζG cosγ x sino ζ Cϕoγ ⎟⎝+ϕ ⎠PREDAVANJA 2009. 111
PONAŠANJE BRODA NA TALASIMA____________________________4.4. Plovidba broda ka talasimaSpregnute jednačine poniranja iposrtanja na regularnim talasima glase( D+ m ) ζ + n ζ + ρgA ζ −m ψ −( n −v m ) ψ−( ρgA x − v n ) ψ =ζ G ζ G VL G ζψ ζψ o ζ VL C o ζ( ωptδζ)= A sin + ,⎛2v ⎞2 o( J ) ( ) y+ mψ ψ + nψψ + ρgI y′− vmo ζ+ ψ −mψζζG − nψζ + vmo ζζG−⎜ω ⎟⎝p ⎠ζ( ψ )− ρgA x ζ = A sin ω t + δ .VL C G ψ pjednačine Salvensena, Taka i Faltensena, STF (Salvesen, Tuck & Faltinsen, 1970)Približne, nezavisnejednačine su( D + m ) ζ + n ζ + ρgA ζ = ρgA ⋅Q sinωtζ G ζ G VL G T ζ p( J + m ) ψ + n ψ+ ρgI ψ = ρgα ⋅Q cosωty ψ ψ y′o ψ pOdnosnoPREDAVANJA 2009. 112
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