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PONAŠANJE BRODA NA TALASIMA____________________________2.3. Posrtanje broda 2 ψ + 2μ ψ+ ω ψ = 0ψψμψ=22D j ( 1+κ )ynψψωψ=1 g MLGj ( 1+κ )yψPretpostavljamo ζ = 0v , = 0Tražimo ψ(t) = ?Jy ψ =MyM = M + M′( )y y yζ G o( o ) ( L)My = − Mst ≈ − gD⋅ MLG⋅ψM ′ =−n ψ−m ψyψ( J + m ) ψ + n ψ+ gD⋅M G⋅ ψ = 0yψψψL−μ ψ tψ () t = ψ e ψsin( ω t+γ)oRezultat veoma sličan valjanju..??Aliψmψκψ= =O()1JJ yI A iMLG≈ MLF= =V V2y′ VL y′ooψPREDAVANJA 2009. 17
PONAŠANJE BRODA NA TALASIMA____________________________I = I , i = i (?)y′ y y′yV = δLBT , A = αLBoyVL1 gMLGiygαωψ= = ⋅⋅⋅=j ( 1+ κ ) j δ T( 1+κ )ψjy2πTψ= =2πω iψyyδ T1 ( + κ ψ)α gIzrazi veoma slični izrazima zasopstvenu frekvenciju i sopstveniperiod poniranja, i ta sličnost nijesamo formalna...ψZa uobičajene brodske forme važiκSlediPrema tomeψ ≈ κζy yωi≈≈ωj, T ≈Tψ ζ ψ ζTζ ≈ Tψ < TϕŠto ima dalekosežne posledice...(rezonancija)...Takođe jeΨψμψ= ≈Ψωtako da su, za uobičajene brodskeforme, poniranje i posrtanjeveoma slična kretanja...ψζPREDAVANJA 2009. 18
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