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PONAŠANJE BRODA NA TALASIMA____________________________U – tank, na brodu koji se ljulja...Interesuje nas prenosna funkcija(odnosno amplituda) valjanjaP ϕϕo=αoU klasičnom slučaju P= f( Λ , Ψ )ϕ ϕ ϕgde suωTΛϕ=ωϕΨϕμ=ωϕϕProblem sa dva stepena slobode...ddt∂Ek∂ ϕ∂Ek− =∂ϕQϕd ∂Ek∂Edt ∂s∂sk− =Dobijaju se spregnute jednačine...2 2 ϕ + 2μ ϕ+ ω ⋅ ϕ + a s+ c s = ωα cosωtϕ ϕ s s ϕ o TQsSada jegde suΛsP= f( Λ , Ψ , Λ , Ψ )ϕ ϕ ϕωsΛs= ωϕssμsΨs=ωje moguće ć menjati (podešavati)promenom nivoa vode u tanku...s s + 2μ s+ ω s+ a ϕ+ c ϕ = 0s2sϕϕΨsje moguće menjati (podešavati)otvaranjem – zatvaranjem zasunaPREDAVANJA 2009. 227
PONAŠANJE BRODA NA TALASIMA____________________________Razmotrićemo, prvo, slučaj slabog prigušenjavode u tankuΨs 1odnosno slučaj kada je zasun u spojnoj cevipotpuno otvoren...Posmatrajmo rešenja u funkciji Λ φ , pri različitomparametriu Λ s ...Da bi se eliminisao rezonantni pik valjanja,neophodno je podesitiω = ωsϕTo je opšte pravilo pasivnog U-tanka:sopstvenu frekvenciju oscilovanja vode u tankutreba izjednačiti sa sopstvenom frekvencijomvaljanja broda...Efekat na rezonantnu amplitudu valjanja je tadaveoma veliki...PREDAVANJA 2009. 228
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