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PONAŠANJE BRODA NA TALASIMA____________________________Posmatrajmo funkciju oblikaPϕ=1( Λ)21− + 4Ψ Λ2 2 2ϕ ϕ ϕVažiP ϕ( 0)→ 1P ( ∞ )→0ϕoP⎛ϕ⎞ϕ() 1 = ⎜ ⎟ =⎝αo⎠rez12ΨϕOblast dijagrama u okolini rezonancije(obično 0,75 < Λ φ < 1,25) naziva sekritična oblast.Levo od kritične je potkritična, a desnonatkritična oblast.PREDAVANJA 2009. 101
PONAŠANJE BRODA NA TALASIMA____________________________Krajnji levi deo dijagrama, koji odgovaravrednostima faktora poremećaja Λ φ « 1,je tzv. daleka potkritična oblast valjanja.U toj oblasti, sopstveni period valjanjabroda daleko je kraći od perioda talasa,T φ « T TVaži P ϕ ≈ 1γϕ≈ 0ϕ ≈ αoϕ() t = ϕ cosωtNagib talasa je∂ζα ( , ) TTη t = = αocos( kTη+ωTt)∂ηpa vrednost nagiba u okolini broda (zamalo k T η) iznosiα () t ≈ α cosωtSlediϕ() t ≈ α () tTooTT o Tto je oblast krutog valjanjaPREDAVANJA 2009. 102
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