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PONAŠANJE BRODA NA TALASIMA____________________________Vertikalna sila kojom pritisak p T delujena proizvoljni element dužine broda(elementarnu traku broda), tada iznosidf( p)ζ= pTb( x)dx ≈≈ ρgA b( x) ⋅ sin( k ξ + ω t)⋅dxT T pS obzirom na ψ « 1 važi ξ ≈ xTada je∫( p)F gAT b( x) sin( kTx pt)dxζ= ρ ⋅ + ω ⋅ =L= ρgA ⎡TQC sin( ωpt) + QS cos( ωpt)⎤⎣ ζζ ⎦Q = b( x)cos k xdx , Q = b( x)sink xdxC T S Tζ∫Lζ∫LTo je ranije pretpostavljeni oblik poremećajne sileUkupna vertikalna sila izazvanaporemećajnim pritiskom p T je tadaF∫= df =( p) ( p)ζζL∫= ρgA b( x) ⋅ sin( k ξ + ω t)⋅dxT T pL( p)Fζ = Aζ ωpt+δζA = ρ gA ⋅Qζsin( )TζQarctgδ ζ=QSCζζpri čemu jeQ = ζQ + Q2 2C SζζPREDAVANJA 2009. 89
PONAŠANJE BRODA NA TALASIMA____________________________Treba razjasniti član( d )F ζ( p)U prethodnom izvođenju korišćen je poremećajnipritisak p T koji je posledica (samo i isključivo)regularnih talasa...Izrazi za ove talase su izvedeni na “praznoj” slobodnojpovršini, bez prisustva broda...Realno, brod svojim prisustvom remeti regularnetalase...Brod je prepreka o koju talasi udaraju, i na kojoj dolazido njihovog odbijanja i prelamanja – odnosno tzv.difrakcije talasa...Uticaj ovog dopunskog efekta obuhvata (difrakcioni)( d )članF ζZanemarićemo uticaj difrakcije...Ovo zanemarenje poznato je u literaturi kaohipoteza Fruda i Krilova...Uticaj difrakcije se ne zanemaruje u većinisavremenih kompjuterskih programima...M. Simonović...Vratimo se na izrazF = A sin( ω t+δ )ζ ζ p ζU specijalnom slučaju kada vodnalinija ij broda poseduje simetrijuijpramac – krma, važilo biQ = b( x)sink xdx =⋅⋅⋅= 0Sζ∫LZa uobičajene brodove zato važiQSζ QCζQ = Q + ζQ ≈ QT2 2C S Cζ ζ ζAζ≈ρgAT⋅ b ( x )coskTxdx∫LQSζarctgδ ζ= ≈0δζ≈ 0QCζPREDAVANJA 2009. 90
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