水産海洋工学(2009年度)

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5 (:Fuxang HU, a.al, uray valuaon of nural ulaon for d-ar ral n, Conrbuo on h hory of Fhng Gar and Rlad Marn Sy, Vol.4,(5) ( 出典 :Shu,. a.al, pplaon of NaL o n-ag and pur n, Conrbuo on h hory of Fhng Gar and Rlad Marn Sy, Vol.4,(5) (a)(prng) - 4 -

6 :F F a (.) : a: () g 9.8 [./ ](kg) kg (.)9.8 [kg/ ] [kg/ ] N() (SI ) g() () () [kg] [Mg],,, / / / / M H D - d µ µ ( ) g - - g - g µg kn - - N - - k h - d k µ [ 3 ] [ 3 ]( ),4, [kg/ 3 ] ( [/ 3 ]), [kg/() 3 ] [kg/], [g/() 3 ] [g/ 3 ] - 5 -

7 , ( 9.5) [ ]( ) [N]( ) []()[a] [] [N/ ] (.) [][ ]( ) [] [kg].5 [] [kg]9.8 [/ ].5,45[N],45 [] 4.5 [h](),.45 [k]() []3.546 [kg/ 3 ]9.8 [/ ], [N], [], [h](), [k]( ) [] ( [bar], ), [ bar] ()SI [bar] CD [] [d bar](. )[d bar] - 6 -

8 ρ ρ g ρ ρ g : ρ d d ρgd /8 ρgd B B (ρgd ) ρgd (.3) ρg g (.3)ρ(kg/ 3 )g (/ )( 3 ) N() ρ ρ,kg/ 3 3,kg () - 7 -

9 ) (.) F a d( v) / d (.4) : v: () v V Vj Q (.4) F ( V ) ρqvj ρqv ρq Vj (.5) Vj V ) :ρ::v R ρ C DV (.6)

10 :ρ::v :α ρ L CLV α (.7) (.4)(.5)ρ(kg/ 3 ) V (/)( ) N() (Drag) (ρ/)c D U (Lf) (ρ/)c L U (aak angl) (Vloy) U (aak angl) (Vloy) U - 9 -

11 a) x: b) x: ) x: (fd bak) (lod loop) - -

12 : v :G x : H () v x a a v x x a a x a x a a G Gx v x G ( v Hx) G G( v Hx) x x G v Hx (3.) ( ) G x v (3.) GH x: x: - -

13 ( - -

14 v n, Q r v n x, npu v oupu u v x() x () () (3) v u x - 3 -

15 - 4 - () () (3) () u() v u v x u() u v x

16 v: G B C G x: H G v x G B G G ( v x) G C B Hx G ( v x) Hx G G C G{ G ( v x) Hx} x x( GH GG ) GGv G G x ( G H G G ) v (3.3) (3.) v: G G G H x v: GG G H x (3.) GG GH x v GG G H GG x v G H G G - 5 -

17 :rpon () () () (nr of gravy) ()() W W g ρg d (4.) ρ d d ( ) ( d ) F ρg ρg (4.) G B : :W - 6 -

18 () W g ρg ρ (4.3) ( d d) ( d d ) (4.) W g ρgd F ρ g d ( ) d W F ( d ) d ρg ρg d ρg (4.4) d (4.4) Lapla d d ( ) ρ g ( ρ g ) ρ g ρg () ( ) ( ) ρg ρg o (4.5) π π f ρg - 7 -

19 Lapla Lapla Lapla Lapla Fourr - Lapla Lapla F( ) f ( ) f ( ) d (4a) df ( ) f ( ) f () d d f ( ) df ( ) df ( ) d d d df ( ) { f ( ) f ()} d 3 d f ( ) 3 d 3 f df ( ) f ( ) f () d ( ) df ( ) f () d d f ( ) d 3 n ( ) d f ( ) n ( n) d f ( ) ( ) 3 f ( ) (4b) d d a f ) a f ( ) a f ( ) a f ( (4) ( ( ) ) f() Lapla -α α -α (α) (n-) /(n-)! -α (n-) /(n-)! n (α) n nβ -α nβ oβ -α oβ β β f() β (α) β α β (α) β - 8 -

20 - 9 - η ( ) η d ( ) ρ η d F g (4.6) ( ) η ρ ρ d F W d d g g η ρ ρ d d g g (4.7) a (4.7) Lapla η ρ ρ g g ( ) a g ρg ρ ( ) / ) ( a a g g g ρ ρ ρ (4.8) a ρg o / ρg π Lapla Lapla [ ] ( )( ) α α α α κ κ a a [ ] ( )( ) α β α β κ κ κ a a b [ 3] ( )( ) 3 3 β β β β κ κ κ κ a b a b a :W : x η

21 a a (5.7) d d ( ) ρg η a d d d ( a) ρg ρgη d (4.9) (a) a a ( ) (ay) (hav) L /BCbB/d (ay) ay ay hav ay hav d d d ρg ( η ) d d d - -

22 - - ( ) η ρ ρ d d d d g g (4.) η Lapla ( )( ) ( ) g ρ ( ) { } ( ) { } g ρ (4.) ( ) { } ( ) ( ) [ ] ( ) ( ) ( ) [ ] ( ) ( ) [ ] ( ) ( ) ( ) [ ] ( ) ( ) ( ) ( ) ( ) ( ) [ ] ( ) ( ) / 4 / } / { / 4 / / 4 / / } / { / 4 / } / { } / { } / { / } / { } / { g g g g g g ρ ρ ρ ρ ρ ρ (4.) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 4 n 4 4 o g g g ρ ρ ρ (4.3) ( ) ( ) ( ) 4 o ρg (4.4) ( ) ( ) 4 / ρg π ( ) ρg π

23 Lapla Lapla (4.) d ρg d Lapla ρg η ( ρg ) ρg η (4.5) (4.5) Lapla ρg (4.6) η ρg η ρg Lapla ρg η: ρg ρg : ()(pul rpon) (4.6)η Lapla Lapla Lapla f () F() d F() π (4.7) Fourr f () F( ) d π o n π f f:(h) (4.8) - -

24 F() π d π d (4.9) n ( ) l (4.) π ( ) (Dra dla Funon, or Ipul Funon)δ (). ()(4.) 7 Dla Funon () - η (4.6) ρg (4.) ρg ρg ρg ρg ρg ρg ρg () ρg n (4.) () π ρg / - (pul rpon) - 3 -

25 () (p rpon) Lapla (η ) (Dra dla Funon, or Ipul Funon) (un p funon) Havd Lapla f() Lapla / (Lapla < (4.6) ρg (4.3) ρg ρg ρg. x. (3) (rap rpon) Lapla f() Lapla /. () ρg (4.4) ρg ρg ρg x - 4 -

26 dx x η d η x Lapla x x x η ( ) η η x x η η η x Lapla x() x( ) (/ ) η η x x Lapla x ( ) x() - 5 -

27 - 6 - (4) (frquny rpon) ηn η d d (4.5) ηn Lapla Lapla (4.6) (4.7) ( ) ( )( ) ( )( ) ( ) ( )( ) ( )( ) ( ) ( ) ( ) ( )( ) a b b a b a b a b a,, b a Lapla ( ) ( ) ε n o n o n ) ( (4.8) ( ) ( ) ε an an

28 /fπ/ -(/) (4.8) n( ε ) n n( ε) gan pha ε ( (4.7) gan ( ) ( ) (4.9) pha ε ( ) an..8.6 () -ε / / / 4/ 6/ 8/ /.4.. Gan / / 4/ 6/ 8/ / -9 ε() pha(dg) - 7 -

29 . Gan. ()././././ 9 pha(dg) ε()././././. -9. <</. / -45 >>/ -9 / η (pul) Lapla Fourr ( ~) (4.5) Fourr Lapla Fourr (4.5) G() G( j) ( ) ( ) ( )( ) -8 ( ) ( ) ( ) ( ) R( ), I( ) ( ) ( ) ( ) R I (4.3) I ε ( ) an an ( ) R (4.9) - 8 -

30 . gan. (4.) d d ρg d d ρg g G() ρ (4.3) η ρg G( ) η ( ) ( ) ( ) {( ) } {( ) }( { ) } ( ) ( ) ( ) ( ) ( ) ( ) ( ) R ( ) ( ) ε ( ) an, I ( ) ( ) R I I an R.5.. ( ) ( ) ( ) 9 pha ( ) ( ) (4.3)././././. -9 dad..5..././././ / /. / 9 / 8 /

31 G () [(gan)] npu oupu Lapla x v (4.33) x() v() x() v() (4.34) x () (4.35) G() [/] npu Lapla x v (4.36) x() v()d (4.37) x() oupu (4.38) G () [] npu oupu Lapla x v (4.39) dv () () x (4.4) d x() δ () (4.4) - 3 -

32 G() [(gan)] npu oupu Lapla x v (4.4) dx() x() v (4.43) d () x (4.44) x() (-/).63 G() S ( )( ) < (gan) > (gan), npu oupu Lapla > < x () dx() d x x d d v () v() (4.45) (4.46) x (4.47) x (4.48) x o n (4.49) - 3 -

33 - 3 - x, ( )( ) x ( ) ( ),,,, < ± > ± x x >, x (4.47) <, Eular ± ± n o, n o x (4.49), ( ) ( ) ( ) x x (4.48) x() π

34 ( ) ( ) F ( ) ( j)( ) ( ) R I I ( ) an an an ( ) 45 R 9gan /. /. 9 Gan pha(dg) /(). /()././././././././ F ( ) ( ) ( ) ( ) R I I ( ) an an an ( ) 45 R 9gan /.. 9 Gan.././././ pha(dg)././././ /()

35 ψ d ψ dψ d ψ I ZZ N J δ δ N r ZZ d d d (5.) d ψ dψ ( I ZZ J ZZ ) N r N δ δ d d (5.) d ψ dψ δ d d (5.3) dψ/dδ (4.8) Lapla dψ dψ δ d d dψ ( ) δ d dψ δ δ δ d dψ δ d ( ) ( ) ( / ) { } (5.5) (5.4) dψ δ (5.6) d ( a gan )(5.6) L dψ L L δ R d U U (5.7) 3G

36 (L/R)(5.7) (L/U) ( onan) δ δ (-/).63δ dψ/d δ ψ(5.5) δ { } ψ (5.8) ψ δ ranfr aal dar ψ R U/(δ ) advan U R ranfr R aal da. R (5.9) advan U R U δ

37 ψ(dψ/d) ψ*() npu ψ*() (dψ/d) oupu ψ() ψ* ψ G G G G G, 3 (dapng faor) ( ) ( ) ( ) (5.) <

38 D npu ψ*() (dψ/d) oupu ψ() (dψ/d) npu ψ*() oupu ψ() D G D ( ) ( ) D ( ) ( ) ψ ()ψ () G ( D) G ( D) G ( D) ( D) D

39 G D, (5.) D (4.5) D D,D,D D(5.) D D D D

40 D x (6.) [> ] () (-/).63 [] x () (6.) [<] () x (6.) x()

41 - 4 - Τ > Τ Τ < () G > () x (6.3) () x (6.4) < () n o x (6.5), < [ ] () x o (6.6) [-<< ] () n o x (6.7) x() π

42 (4.47) [ ] () x (6.8) [ <] x () (6.9) <- < < x() > < (6.) ( ) (6.) ( ) (/) x ( ) Lapla x (6.) () ( ) x ( ) x () (6.) - 4 -

43 - 4 - (6.3) ( )( ) (6.3), < ( ) ( ) < ± > ±,,, ( )( ) (/) ( )( ) x Lapla () x (6.4) Lapla ( )( ) x () x (6.5), () []

44 (Nyqu) (Rouh-Hur ) Hur Rouh a n a n- a n- a n a, a, a,, a n (Hur a a 3 a 5 a ( -)- a a a 4 a ( -)- a a 3 a ( -)-3 a a a ( -)-4 H n (6.6) a n-,3,,n a k : k<, k>n n H a a Hur > n3 a a 3 H 3 a a 3 a a - a a 3 a a n4 a a 4 H 4 a a 3 a a a 4 a a a a a 4 a a 3 a a 3 n5-43 -

45 a a 3 a 5 a ( -)- a a a 4 a ( -)- a a 3 a ( -)-3 a a a ( -)-4 H a a - a 3 /a a 5 /a a ( -)- /a a a a 4 a ( -)- a a 3 a ( -)-3 a a a ( -)-4 a a a - a 3 /a a 5 /a a ( -)- /a a -a a 3 /a a 4 -a a 5 /a a ( -)- -a a ( -)- /a a a 3 a ( -)-3 a a a ( -)-4 a a a - a 3 /a a 5 /a a ( -)- /a (a 4 -a a 5 /a )/ (a -a a 3 /a ) (a ( -)- -a a ( -)- /a )/ (a -a a 3 /a ) a 3 -a ( ) a ( -)-3 -a ( ) a -a ( ) a ( -)-4 -a ( ) a (a -a a 3 /a ) a a - : { }

46 Hur npu oupu ( ) ( )( ) ( )( ) 3 3 Hur > H < <

47 Nyqu G() G H () () v: G(): x:() H(): [ ] G() H () G() H () G() H () G H () () (,) I I G()H() R (-,) (,-) (,) R a (- ) a b b (-,j) G() H () G() H () (-,) I b G()H() G()H() R G()H()

48 Nyqu Nyqu G G (, ) () H () () H () (, ) (, ) b, Nyqu G () H (), > I G()H() (-,) R ( ), > G() H () I (-,) R G()H()

49 G () H () ( )( ),, > I G()H() (-,) R G() H () ( )( ),, > I (-,) R G()H() G () H (),,, 3 > ( )( )( ) 3 I G()H() (-,) R

50 Nyqu ( ) ( ) ( ) ( )( ) ( )( )( ) ( )( )( ) ( )( )( )( )( )( ) ( )( )( ) ( )( ) ( )( ) ( )( ) ( )( ) ( ) ( )( ) ( ) ( )( ) 4 I Nyqu -<< - < R(< ( )( ) ( )( ) ( )( ) ( )( ) > > > > > > > > < < < < 6 Hurb R (-,) G()H() I oupu npu

51 Bod Gan argn and ha Margn) (GH) Nyqu Nyqu Bod (Gan Margn) Nyqu (-,j)(-,j) G ( ) H ( ) G ( ) H ( ) 8-8. (, ) Nyqu (, ) (, ) Bod -8. I Gan Gan argn. (db) Gan argn (-,) R -8 ha

52 (ha Margn). -8 (, ) Nyqu (, ) (, ) Bod. -8 I Gan (-,) ha Margn R -8 ha ha argn -8 Bod - 5 -

53 - 5 - Bod ( )( )( ) ( )( )( ) 3 3 ( )( )( ) ( )( )( ) ( )( )( )( )( )( ) ( )( )( ) ( )( )( ) ( ) ( ) ( ) ( )( )( ) ( )( )( ) ( ) ( )( )( ) ( ) ( )( )( ) ( ) ( )( )( ) 9 4 I -8 ( ) ( ) ( )( )( ) ( ) 6 > 6 6 > > < 6 oupu npu 3

54

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