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PONAŠANJE BRODA NA TALASIMA____________________________∞∞2 21ZoZdo>d=∫o o=∫( B) o−( B) o= −( B)Zσo Z2σo 2σo⎛ ⎞ ⎛ ⎞V( Z Z ) f( Z ) dZ Z exp ⎜ ⎟dZ exp⎜ ⎟dd ⎝ ⎠ ⎝ ⎠Na isti način, verovatnoće da će amplitude brzine i ubrzanja pri ljuljanju bitiveće od neke unapred zadate vrednosti, iznose∞∞221 ⎛ v ⎞ ⎛∫ ∫vdd ( B) ( B) ⎜ ( B)vσ2 v2σ2 2σ2⎞Vv ( > v) = fvdv ( ) = v⋅exp⎜− ⎟dv= exp⎜−⎟dd ⎝ ⎠ ⎝ ⎠∞∞22∫1∫aadd ( B) ( B) ( B)aσ4 a2σ4 2σ4⎛ ⎞ ⎛ ⎞V( a > a ) = f( a) da = a⋅exp ⎜− ⎟da = exp⎜−⎟dd ⎝ ⎠ ⎝ ⎠Umesto verovatnoće, mogu se odrediti i srednje frekvencije pojavljivanjaamplituda većih od Z d , v d , odnosno a d ...p d , d , dVeza verovatnoće V i odgovarajuće srednje frekvencije (u hercima) glasiVf ( Hz)= =T 2σ( B)V o( B)pπ σ2Odnosno, srednji broj događaja na čas, iznosif ( 1/ h) = 3600 ⋅ f ( Hz)PREDAVANJA 2009. 155
PONAŠANJE BRODA NA TALASIMA____________________________Primer ljuljanja na kosim neregularnim talasima...Kada se primeni postupak...2S ( ω ) = P ( ω ) ⋅S( ω )B p Z p T p∞( B)SB ( ωp)dωp = σo∫0...Test brod je fregata dužine 110 m, pri brziniod 25 knPREDAVANJA 2009. 156
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