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PONAŠANJE BRODA NA TALASIMA____________________________Odnosno, s obzirom naa ≈ 1ζψ ,Pri veoma visokim prividnim frekvencijamatalasa, za sve prenosne funkcije važiP , P 0 za ωp→∞→ζ ψ pOvo je posledica činjenice da visokaprividna frekvencija odgovara veomakratkim talasima...ω → ∞, λ → 0, L//λ →∞p T Tpa jef,( ∞ ζψ) → 0 aζψ, → 0Između ovih krajnjih vrednosti, prenosnefunkcije se bitno razlikuju...Pri tome, na karakter funkcija presudno utičeodnos dužine broda i dužine onog talasa nakome dolazi do rezonancije...24πvoλT=g+ 2ωv − g( g+4ωv )p o p oPREDAVANJA 2009. 121
PONAŠANJE BRODA NA TALASIMA____________________________Dužinu talasa na kome dolazi do rezonancijeodređuje se iz izraza λ T = f ( ω p )kada se u njemu smeni ωp= ωζ(odnosno ω = ω )VažiλrezUkoliko jepψ24πvo=g + 2ωv − g( g+4ωv )ζ/ λrezoL 1odnosno ukoliko do rezonancije dolazi nadugim talasimavaži a ( L/ λ ), a ( L/ λ ) ≈ 1ζreza rezonantni pik će ima klasičnu vrednost1( P )rez,( Pζ ψ) rez≈ ( fζ , ψ)rez=2ΨUkoliko jeψL 1/ λrezrez2 ζψ ,odnosno ukoliko do rezonancije dolazina kratkim talasimaζovaži a ( L/ λ ), a ( L/ λ ) ≈ 0ζreza vrednost prenosne funkcije u rezonancijije zanemarljivo mala( P ) ,( P) 0ψrezζ rez ψ rez≈Između ovih (nerealnih) krajnosti, nalazi sefamilija prenosnih funkcija koje odgovarajurazličitim brzinama plovidbe, odnosni različitomodnosu L/λ rez ...Pri tome, većoj v o uvek odgovara dužirezonantni talas, odnosno izraženiji rezonantnipik...PREDAVANJA 2009. 122
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