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PONAŠANJE BRODA NA TALASIMA____________________________Pri vertikalnom kretanju trake...strujanje vode oko trake je (približno)ravansko – u ravni rebraTo je posledica i vitke forme, odnosnomale promene forme broda u uzdužnompravcu...Elementarna sila df koja deluje na traku,posledica je pritiska p,i (približno) je vertikalna...dV () t = dV −dV ′()tdV ′ ≈ζ() ( )At ⋅b x dxoρ( ζ)( o)df = g dVo−Ab ⋅dx( o )df = ρgdVo−ρgζGb⋅ dx + ρgxψb ⋅dxPa je ukupna vertikalna sila (koja ulaziu jednačinu poniranja)F≈ ζ∫L Ldf( o )df = df + df ′df( o)= ρg ⋅dVPREDAVANJA 2009. 21
PONAŠANJE BRODA NA TALASIMA____________________________Sledi∫ ∫ ∫ ∫( o ) ( o)Fζ = df = ρg dVo− ρgζGbdx + ρgψxbdxL L L LTreba prepoznati pojedine integrale∫LdVo= Vobdx = AVLxbdx = SVL = xC AVL∫ ∫LL( o )F gD gAVL GgAVL xCζ= −ρ ⋅ ζ + ρ ⋅ψdf ′ =− ζ dn −ζ dmAζdm = m′ ⋅ dx , dn = n′⋅dxζ ζ ζ ζm′ = m′( x)n′ = n′( x)ζζAζζζ(kao i u prethodnim izvođenjima)df ′ =−m′ ( ζ −x ψ) dx −n′( ζ −xψ) dxζGζ∫ ∫ ∫ ∫ ∫F′ = df ′ = − ζ m′ dx − ζ n′ dx + ψ m′ xdx + ψn′xdxζ G ζ G ζ ζL L L L LGIntegrali u izrazu zahidrodinamičku silu su∫L∫L∫mdx ′ = mζndx ′ = nζζζi “mešoviti” članoviL∫Lmxdx ′ =mζnxdx ′ = nζζψζψDodatna masa iprigušenje u jednačiniiponiranja, usledposrtanja broda...PREDAVANJA 2009. 22
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