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- 1 - 1.1? 1 3 4 5 6 7xz 1.2 Laplace 0 2 2 2 2 zx 0 2 10 0 hz w z=- h 0 z 2z= A 0 2 1 22 g zxt zz 22 2 1 zx Bz= 0 zxxt 3),(),(zctxtzx cx- ctx 1.3 0 2 z=- h 0 z z=0 0 2 2 z g t 0 0 0 z z 0 0 hzh w 2 2 2 2 x x 2 1 1 - 2 - z=0 tg 1 ),(),(zctxtzx 1.4tkx kh zhkgH sin cosh cosh 2 tkx kh zhkHc sin sinh cosh 2 khgk tanh 2 k: T 2 , L k 2 kh L g T tanh 22 kh kh L T g cosh sinh c T L cckhgkhsinhcosh tkx kh zhkgH sin cosh cosh 2 tkx kh zhkHc sin sinh cosh 2 1.5tkx kh zhk T H ucos sinh cosh , tkx kh zhk T H wsin sinh sinh tkx=02 =0, 2 , 3 2 2. (1):tkx kh zhkHc sin sinh cosh 2 tkx kh zhkHck x ucos sinh cosh 2 : T L c, L k 2 tkx kh zhk T H ucos sinh cosh . kgHkgH cosh2 2 sinsin sinhsinh cosh ckhkh z sinsin cosh =02 - 3 - :tkx kh zhkHck z wsin sinh sinh 2 tkx kh zhk T H sin sinh sinh (2)z=0tkx khT H ucos )tanh( ,tkx T H wsin .1kx-t )tanh( khT H kx-t .1 T H kx-t z- h0 tkx=0)(cosh )sinh( hzk khT H u,0w.2 tkx=0u,)(sinh )sinh( hzk khT H w.3 tkx=)(cosh )sinh( hzk khT H u,0w.4 tkx=30u,)(sinh )sinh( hzk khT H w.5 tkx=)(cosh )sinh( hzk khT H u,0w.2 )tanh(khT H )sinh(khT H - h0 T H - h0 - h0 )sinh(khT H )tanh( khT H - h0 T H 1.6Th T=9sh25m15m c+ ( ( ( ( s s sinh(sinh(T T sinh(sinh( H H H H H nh( H H H H H 0 .2 )(h)( ( ( (coshsh ) ( ( 0, T H w T H u u - 4 - #include “iostream.h“ #include const double pi=3.1415926,g=9.8; void main( ) double x0,x,L,k,c,h; int i,T; coutT; cout1.0e- 8);i+) x0=x; x=(4*pi*pi*h)/(g*T*T*tanh(x0); L=2*pi*h/x; k=2*pi/L; c=L/T; cout0.5 1 D D kzkz HeHe L - 5- 5 D0.7230.445D0.7230.445 khgk kgk - 7 - 1.1010mH=1m,T=6s,z=- 2m - 5m- 10m khgk tanh 2 0tanh 2 khgk ExcelL=0L T=2PI/ThLk=2PI/Lkhtanhkh=0 61.04719766710100.62836.28321.0000- 5.0671 200.31423.14160.9963- 1.9738 300.20942.09440.9701- 0.8966 400.15711.57080.9172- 0.3167 480.13091.30900.8640- 0.0129 48.10.13061.30630.8633- 0.0097 48.20.13041.30360.8626- 0.0065 48.30.13011.30090.8619- 0.0033 48.40.12981.29820.8613- 0.0002 48.50.12961.29550.86060.0029 L=48.4mh/L=10/48.4=0.2072kh= 2 1 8 1 0 2 0c gH sinh2kh2kh= ssc gH 2 8 1 Ps=Ecn s= ssc gH 2 8 1 =Ecn 0= 2 1 8 1 0 2 0c gH= 216 1 2 0 gT gH =102 32 1 22 g=38310.55N/s 1.135m,H=1m,T=8s, . khgk tanh 2 T 2 , L k 2 ,T=9s,h=5m 1.6L=53.05 mkh=0. 59 )cos( 2 tkx H Ps= P= P0 0 1 1 s T=10sT=10s sss cH c s 1 1 2 2 1 1 2 2kh 2kh2kh cgH cgHs 2 2 1 g g g - 9 - )(2cos )(sinh 2)2cosh()cosh( )( 8 )cos( 2 3 tkx kh khkh L HH tkx H )cos( )sinh( 1 tkx khT H u )(2cos )(sinh 1 )( 4 3 )cos( )sinh( 1 4 2 tkx khL H T H tkx khT H u 1 2 1.145% h/L=0.2 3 3 )s() ) ) sin 1 )()( L L H T H -10 - 1)(2cos)( 4 tkx L HH 5% )cos( 2 05 . 0 )(2cos)( 4 tkx H tkx L HH 1 2 05 . 0 )( 4 H L HH 0318 . 0 1 . 04 2 05 . 0 )( H H L H 2h/L=0.2h=2Lkh=42 22 L L h L 1 )( 4 2)( 8)4(sinh 2)8cosh()4cosh( )( 8)(sinh 2)2cosh()cosh( )( 8 33 L HH L HH L HH kh khkh L HH 2 )cos( 2 H tkx H 2 05 . 0 )( 4 H L HH h/L=0.2 0318 . 0 1 . 04 2 05 . 0 )( H H L H 1.155mH=1mT=8s L) 4 .31 tanh(97.99)5 14 . 3 2 tanh( 14 . 3 2 881 . 9 )tanh( 2 22 LL kh gT L L=53.083m=2/T=0.785k=2/L=0.1183 1- 118z 1 2 3 2 )2sinh( 31)(4)( 3)2sinh(312cosh2 )(sinh16 2 2 2 2 2 h z kh kh h z h z khkh h z kh kh kH U zsigemakz/hkhF - 0.50.7850.1183- 0.10.59150.014783- 0.67052- 0.00991 - 10.7850.1183- 0.20.59150.014783- 0.26316- 0.00389 - 1.50.7850.1183- 0.30.59150.0147830.4230320.006254 - 20.7850.1183- 0.40.59150.0147831.3949410.020621 - 2.50.7850.1183- 0.50.59150.0147832.6604290.039328 2 05 . 0 )0 . 0) ) ) H H L L H 8 0 . 0 0 1 . 0 1 . 0 H T=8sT=8s 2 81. 9. 9 )anh()(khkh L=53.083mL=53.083m -11 - - 30.7850.1183- 0.60.59150.0147834.2284140.062507 - 3.50.7850.1183- 0.70.59150.0147836.109010.090308 - 40.7850.1183- 0.80.59150.0147838.3136590.122898 - 4.50.7850.1183- 0.90.59150.01478310.85530.160471 - 50.7850.1183- 10.59150.01478313.748540.203241 / T kH 4 2 ;z/h 098. 0 8*4 1* 4 22 T H q m3/sm 1.16 1.17Hs4.7m4.7m ?6m? H1/3=1.6H=4.7mH =2.94m H1/10H4 H1/102.03H =5.976m / 0 8*4 8*4 1* 4 2 22 T T T k 4 ;z/h 8 m m3 3/sm/sm -12 - 6m4. 2.1 2.2 2.3H0=1m,T=5s, 0=45, ,h=10m,5m,2m.() khgk tanh 2 T 2 , L k 2 1.6T=5s,h=10m,L=36.563m,c=7.313m/s,kh=1.72,h/L=0.271.57,2- 99afw D A ff m ww log28 . 0 4 1 log 4 1 fw 2 2 1 mwm Uf=0.142N/m2 h=5m2m hUmAmReAm/Dfw m 100.2330.18543006185000.005260.14 50.5110.407207668406520.004430.58 20.9870.785775053785360.003881.89 2.5H0=1m,T=10s, ,h=2m . khgk tanh 2 T 2 , L k 2 ,T=10s,h=2m 1.6L=43.677 mci=4.368m/skh=0.288 h/L=0.045 0.05 ii s nc c k 2 0 6 .15 14 . 3 2 108 . 9 2 0 gT cm/sTcL 00 =15.610=156m )2sinh( 2 1 2 1 kh kh ni= 608 . 0 576 . 0 1 2 1 =0.974 354. 1 974 . 0 368 . 4 2 6 .15 2 0 ii s nc c k 0 HkH si =1.3541=1.354m 2 . 1 0 0 8 . 2 0015 . 0 L H L h kk sos 20.9870.785775053785360.003881.8920.9870.785775053785360.003881.89 T=10s,T=10s, 100.2330.18543006185000.005260.14100.2330.18543006185000.005260.14 50.5110.407207668406520.004430.5850.5110.407207668406520.004430.58 20.9870.785775053785360.003881.8920.9870.785775053785360.003881.89 khkh 2 1.6L=43.677 mcL=43.677 mc 0.050.05 -15 - sso kk 2 . 18 . 2 156 1 677.43 2 0015 . 0 354 . 1 s k=1.374 0 HkH si =1.3741=1.374m 2.6H0Tm fw 2.7 cos cos 0 r k 0 i EcnEcn 0 1 ii EcnEcncoscos 00 2 iib EcnbEcn 00 3 iii sbsbcos ,cos 000 3 iiis EcnsEcncoscos 000 4 s0si24 0 0 0 cos b ss i 5 , 0 i r b b k iii sbsbcos ,cos 000 5 coscos EcnEcnEcn 0 0 coscos 00 0 ,os s 0 s -16 - iiii r s s b b k cos cos cos cos 0000 2.8,1s,5s,10s 10m1m . 10.142H00.142L0 T=1s 2 2 0 gT L=1.56mH00.142 T=5s 2 2 0 gT L=39.01mH00.142 T=10s 2 2 0 gT L=156.05mH00.142 2h10m khgk tanh 2 T 2 , L k 2 1.6h=10m,T=1s,L=1.56m,c=1.56m/s. T=5s,L=36.56m,c=7.31m/s,kh=1.7. T=10s,L=92.32m ,c=9.23m/s,kh=0.7. T=1s,h/L=6.410.5 0.142,H0.142L=0.142*1.56=0.22m T=5s,h/L=0.270.050.5), H T=10s,h/L=0.110.050.5), H h1m khgk tanh 2 , h=1m,T=1s,L=1.56m,c=1.56m/s. T=5s,L=15.23m,c=3.05m/s,kh=0.41. T=10s,L=31.09m ,c=3.11m/s. T=1sh/L=6.41 0. 5,H0.142L=0.142*1.56=0.22m khkh h=10m,T=1sh=10m,T=1s T=5sT=5s T T 2 , k k 2 ,L=1.56m,c=1.56m/s.,L=1.56m,c=1.56m/s. T=5s,L=36.56m,c=7.31m/s,kh=1.7.,L=36.56m,c=7.31m/s,kh=1.7. T=10sT=10s,L=92.32m ,c=9.23m/s,kh=0.7.,L=92.32m ,c=9.23m/s,kh=0.7. ,h/L=6.410.5,h/L=6.410.5 ,h/L=0.27,h/L=0.270.05 -17 - T=5sh/L=0.0660.050.5), H T=10sh/L=0.032, b L h2 7 1 H0 7 2 h 2.9H0=1m,T=5s, . tg =1/20=0.050.07 b=(1.4- 6.85tg )- 1=0.946 Hb/hb=0.946 2- 12 hb/Lo=0.021 Lo=gT2/2 =39.01m hb=0.021*39.01=0.819m Hb=0.946*0.819=0.775m 2.10 0=45 2- 51 m gT 05.39 28 . 6 25*81 . 9 2 L 2 0 81 . 7 28 . 6 5*81 . 9 2 c0 gT m/s 59.17)05.39/1*5 . 525 . 0 (*45)/5 . 525 . 0 ( 000 LH b kr861 . 0 cos cos 0 b r k 2- 14hbcb ) 2 tanh(sin)(sinsin 0 0 0b b b b h Lc c 34 . 3 ) sin sin ( 0 0 b b ccm/s ) 2 tanh( 2 cb b b h L gT 457 . 0 ) 2 ( b b b h L kh9366 . 0 )2sinh( 2 1 2 1 kh kh n b 2- 13601 . 2 )(2 0 0r b b k cn c HHm Hb/hb=0.946hb=Hb/0.946=2.75m 0 0=45=45 m m05.39 05.39 2 c0 0 gTgT 05.39/1*5 . 5.39/1*5 . 5 . 0 coscos cos 0 b b -18 - 2.11h=20mTs=10sHs=2m 150 150 =1509060 mh L gT s 255.121) 2 tanh( 2 L 2 s mh L gT 255.121) 2 tanh( 2 L 2 sinarcsin s L Ls 3.1? 0)V(h y )U(h xt 1 )()(2 )()( b xx yx xx yxxx y T x T x gDSUVD y SDU x UD t 2 )()(2 )()( b yy yyxy yyxy y T x T y gDSDV y SUVD x VD t 3 10 20 )( x = )( y =0 1- 3 0)V(h y )U(h x 4 )(2 )()( b x yx xx yx xx y T x T y S x S x gDUVD y DU x 5 0 0 (SUVDSD y US S ()() xyxy y y ) ) xy S -19 - )(2 )()( b y yyxyyyxy y T x T y S x S y gDDV y UVD x 6 5- 612 34 3.2 )2sinh( 2 2 1 8 1 2 kh kh gHSxx h 2 8 1 2 3 gHSxx H xx S Hh xx S 3.3? 0 x x hg x Sxx )( 0 x Sxx 0 x x 0 x Sxx 0 x x 3.4? 3.5 0 H0snell)(x S S h g g x g g h h h hg g g g h h h h -20 - kh kH 2sinh8 1 2 h H2 16 1 0 HkkH rs cn c ks 2 0 2 0 gT cghc1n i r k cos cos 0 0 0 sinsin c c i Tg h c c i 2 sinsinsin 0 0 0 2 0 222 2 sin4 sin1cos gT hgT ii 0 222 2 0 0 sin4 cos cos cos hgT gT k i r h hghT HgT h Hkk h H rs 4 sin4 1 cos 16 1 16 1 16 1 0 2222 2 0 2 0 2 0 222 3.6 Sxy p.201- 832sin 2 n ESxy c EcnEnSxy sin coscossin i EcnEcncoscos 0 cosEcn= 0 sinsin cc Sxy 4 4 0 0 1 1 22 2 4 4 0 0 2 in -21 - 0 dx dSxy 3.7H0=2mT=8s 0=30 m=1/30 97.99 28 . 6 6481 . 9 2 2 0 gT L p.562- 51 83.1097.99/25 . 525 . 0 30/5 . 525 . 0 000 LH b m=tg=1/30=0.033p.562- 49a b=0.853 b=0.8532- 12p.56hb/L0=0.025hb=0.025*L0=2.5m 853 . 0 b b b h H hb=2.5mHb=2.13m p.773- 31 (m/s)164 . 1 83.10*2sin 30 1 13 . 2 81 . 9 7 .202sin7 .20 2/12/1 bbl tggHV 3.835 . 0 )1 ( f C mKN PCf=0.01 4 . 035. 0 )1 ( f C mKN P 3- 40 10 . 1 35 . 0 1 16 9 4 31 16 9 4 3 2/12/1 1 P p 60 . 2 35 . 0 1 16 9 4 31 16 9 4 3 2/12/1 2 P p,835 . 0 2 5 1 2 5 1 11 PA, 78 . 7 6 . 21 . 1/16 . 28/1 2121 pppAB 22 . 0 6 . 21 . 1/11 . 18/1 2112 pppAB 1 22 . 0 10 878 . 7 6 . 2 1 . 1 2 1* 2 1 XX X XX XB AXXB V p p XV*XV*XV*XV*XV* 0.000.000.500.371.000.221.450.081.950.04 7 . 0 7 . 0 7 . 0 7 . 0 35. 0 35 . 0 4 si 3030 1 1 2/1 C Cf f=0.01=0.01 f f f 4 . 93 3 -22 - 0.050.110.550.371.050.191.500.082.000.04 0.100.180.600.361.100.171.550.073.000.01 0.150.230.650.361.150.151.600.064.000.01 0.200.280.700.341.200.141.650.065.000.00 0.250.310.750.331.200.141.700.066.000.00 0.300.330.800.311.250.121.750.057.000.00 0.350.350.850.291.300.111.800.058.000.00 0.400.360.900.271.350.101.850.049.000.00 0.450.370.950.251.400.091.900.0410.000.00 3.9 y Hb 4.1? 1 2449m/s 449m/sghv20km20km 3 -23 - 4.2 4.3 4.4? 0 /2 4.5 60% 1.64 20m 4.6? x= 2 ) 12(1n k 0 4.7? 12.4h50m Lc 1/4LL 60% ? ? -24 - gh L T c c 4 T=12.4h h=50m247.163Km247.163Km 4.8x=lh=h0B=B0 t H tcos 2 )( xB=B0x/l 2/1 0 4/1 0 0 xx x b b h h HHx 2/1 4/1 0 0 x l h h HH x x t H tcos 2 )(4- 18 x )(cos 2 ),(txlk x lH tx 4.930km766km30m 3512h25min 0=1.5m x ()y=07.515km )/(1036. 835sin1029. 72sin2 55 sradfc )/(16.1730*81. 9smghcH=2*=3m mrad cTc T c k/1019 . 8 3600417.1216.17 28 . 6 2/2 6 766km x y o (cos (os ( 30km766km766km 766km766km 12h25min x x ) -25 - )cos( 2 / tkxe H cyfc t=0x=0100200300383500600766km y=07.515km X(km)Y=- 15kmY=- 7.5kmY=0kmY=7.5kmY=15km 01.611.561.501.451.39 1001.101.061.020.990.95 200- 0.11- 0.10- 0.10- 0.10- 0.09 300- 1.25- 1.21- 1.16- 1.12- 1.08 383- 1.61- 1.56- 1.50- 1.45- 1.39 500- 0.93- 0.90- 0.87- 0.84- 0.81 6000.320.310.300.290.28 7001.381.331.281.231.19 7661.611.561.501.451.39 h c tkxe h cH u cyfc )cos( 2 / (m/s)92. 061. 1 30 16.17 max h c u 4.10(x=766km) (x=766km) 1 092.575 0 697.191 2 ) 12( 1019 . 8 1 2 ) 12(1 6 0 nkm nkm n

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