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PONAŠANJE BRODA NA TALASIMA____________________________SlediT ( x) = m( x) ζ q ( x ) dxx−∫z G z q qLpri čemu je (kada se zanemare mešoviti članovi i difrakcija talasa)...qz( xq) =− gm′ ( xq) + ρg⎡AR( xq) −ζ qb( xq) ⎤− ζqn′ ζ( xq) − ⎣⎦ζqm′ζ( xq)++ ρgA b( x )sin( k x + ω t)T q T q pζq= ζG −xq ⋅ ψ = ζG sin( ω ) cos( )o pt−γζ−xqψo ωpt−γψ ζ = ζ −x ⋅ ψ= ω ζ cos( ω t− γ ) + x ω ψ sin( ω t−γ)q G q p Gop ζ q p o p 2 2ζ = ζ −x ⋅ ψ = −ω ζ cos( ω t− γ ) + x ω ψ sin( ω t−γ)q G q p G op ζq p o pq ( x ) =− gm′( x ) + ρ gA ( x ) −z q q R q−ρgζ b( x )sin( ω t− γ ) + ρgψ x b( x )cos( ω t−γ) −G q p ζo q q po−ω ζ n′ ( x )cos( ω t−γ ) −ω ψ x n′( x )sin( ω t−γ) −p G ζ q p ζ p o q ζ q p ψo2 2+ ωζ m′ ( x )sin( ω t− γ ) − ωψ x m′( x )cos( ω t− γ) +p G ζ q p ζ p o q ζ q p ψo+ ρgA b( x )sink x cosω t + ρgAbx ( )coskxsin ω t .T q T q pψψT q T q p 2 2ζ = ζ −x ⋅ ψ = −ω ζ cos( ω t− γ ) + x ω ψ sin( ω t−γ)G G G p G p ζ G p o px x o xψψPREDAVANJA 2009. 185
PONAŠANJE BRODA NA TALASIMA____________________________Dobija se, nakon sređivanjaT ( x) = m( x) ζ − q ( x ) dx =⋅⋅⋅z G z q qx∫x( o)2 2= T z( x) + ζ ⎡G ρgA ( ) − ( ) − ( ) sin( − ) −o VLx m x ωp ωpmζx ⎤⎣⎦ωptγζ2 2−ψ ⎡oρgSVL( x) m( x) xG ω ( ) cos( )x pωpm x ⎤⎣− −ζψ−⎦ωpt− γψ++ ω ζ n ( x)cos( ω t− γ ) + ω ψ n ( x)sin( ω t−γ) −p G ζ p ζ p o ζψ p ψo−ρgA Q ( x)cosω t − ρgAQ ( x)sinωtT S pζT C pζOdnosno( din)Tz( x) = To( x) + To ( x)sin ⎡⎣ωpt+γT( x)⎤⎦Amplituda i fazni pomeraj dinamičkog dela transverzalne sile zavise od koordinate preseka x,i mogu se odrediti preko opštih trigonometrijskih formula (zbir niza harmonijskih funkcija...)Ukupna vertikalna transverzalna sila u poprečnom preseku sastoji se iz statičke komponente(koja se javlja u ravnotežnom položaju plivanja broda na mirnoj vodi), i dinamičke,oscilatorne komponente, koja je posledica ljuljanja i talasa...Amplituda ove dinamičke komponente moguće je odrediti nakon što se proračuna ljuljanjebroda, odnosno (u konkretnom primeru plovidbe ka talasima) nađu amplitude poniranja iposrtanja broda...PREDAVANJA 2009. 186
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