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PONAŠANJE BRODA NA TALASIMA____________________________Princip proračuna ljuljanja na neregularnimtalasima prema kome se, iz poznatih prenosnihfunkcija ljuljanja i poznatog spektra talasa,određuju se spektri ljuljanja...važi i za relativna kretanja –relativno vertikalno pomeranje i relativnuvertikalnu brzinu proizvoljne tačke broda u odnosuna slobodnu površinu vode...Važe formule∫∫∞2S ( ω ) = P ( ω ) ⋅S( ω )rel p C p T p( v ) 2 2 2S ( ω ) = ω ⋅P ( ω ) ⋅ S ( ω ) = ω ⋅S( ω )rel p p C p T p p rel pSledi0Srel( ω ) dω = σ( rel)rel p p o∫gde jerelPCrelζ=A( o)C∞∞( v) 2 ( rel)Srel ( ωp ) dωp = ωpSrel ( ωp ) dωp = σ20 0relTNa osnovu ranije izvedenih formulaza verovatnoću...V( Z )⎛exp⎝Z2do> Zd = ⎜−( B)2σo⎛ vVv ( > vd) = exp⎜−⎝ 2σSledi i2d( B)2⎛hV( ζC> h) = exprel ⎜−⎝ 2σo2⎞⎟⎠⎞⎟⎠( rel)2⎛ vVv (C> v) = exp⎜−rel⎝ 2σ( rel )2što je moguće direktno primeniti nakarakteristične tačke zalivanja palube,izletanja propelera i sleminga...⎞⎟⎠⎞⎟⎠PREDAVANJA 2009. 161
PONAŠANJE BRODA NA TALASIMA____________________________V2( o)K( ζK> h ) exprel K= ⎜−( rel)2σoV( ζ ) ⎛exp⎝⎛⎝hh2( o)PP> hrel P= ⎜−( rel )2σo⎞⎟⎠⎞⎟⎠Vζ( o)(D) exprel⎛ T> T = ⎜−⎝ 2σ2( rel)o⎞⎟⎠2( o)ps(D> v ) exprel ps= −⎜ ( rel)2σ2V v⎛⎝v⎞⎟⎠2 2 22⎛ T ⎞ ⎛ v ⎞ ⎡ ⎛psT v ⎞⎤psV( slem) = exp ⎜− exp exp( rel ) ( rel) ( rel) ( rel )2σ ⎟⋅ − = ⎢− +⎥⎜o2σ ⎟ ⎜22σo 2σ⎟⎝ ⎠ ⎝ ⎠ ⎢⎣⎝ 2 ⎠⎥⎦( rel)V o( rel)pπ σ2Vf ( pojava / čas)= 3600 = 3600T 2σPREDAVANJA 2009. 162
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