TRƯỜNG ĐẠI HỌC XÂY DỰNGVIỆN XÂY DỰNG CÔNG TRÌNH BIỂN

BÀI TẬP LỚNMÔI TRƯỜNG BIỂN

SINH VIÊN :NGUYỄN XUÂN LƯUMSSV :87653 - LỚP 53CB3MÃ ĐỀ : A-VI-4

MÔI TRƯỜNG BIỂN

MÃ ĐỀ : A-VI-4

I /SỐ LIỆU TÍNH TOÁN1.1 /số liệu môi trường

141237

I /SỐ LIỆU TÍNH TOÁN

chiều cao sóng H ( m )chu kỳ sóng T (s )Độ sâu nước d (m ) 37

31.530 0.5236Hướng sóng α (độ )

Độ sâu nước d0 (m )Biên độ thủy triều lớn nhất d1 (m)Chiều cao nước dâng do bão d2`(m )

1.2./CÁC THÔNG SỐ CỦA CÔNG TRÌNH

H1(m) H2 (m ) H3 (m ) H4 (m ) A ( m ) B ( m )18 16 13 12 20 20

α

18 16 13 12 20 20

41.5 ( m )

II /TÍNH ĐỘ SÂU NƯỚC TÍNH TOÁN

d=d0 +d1+d2=

III / CHỌN HỆ TRỤC TỌA ĐỘ ĐÁNH SỐ NÚT CHO KẾT CẤU CHÂN ĐẾ

(chon hệ trụ tọa độ OXYZ là hệ trục tọa độ của kết cấu OXY trùng với mặt phẳng đáy biểnchon hệ trục oxyz là hệ trục tọa độ của sóng ( trục ox trùng với hướng sóng ,trục oxy trùng với MNL )chon hệ trục oxyz là hệ trục tọa độ của sóng ( trục ox trùng với hướng sóng ,trục oxy trùng với MNL )

z

yyz'

y'

MLN xx'

α

d ZY

ĐÁY BIỂN O X

công thức đổi trục

x=x'cosα-y'sinα x'=X x=Xcosα-Ysinαy=x'sinα +y'cosα (xoay ) y'=Y (tịnh tiến xuống) y=Xsinα +Ycosαz=z' z'=Z z=Z -d

IV /TÍNH TỌA ĐỘ NÚT

NÚT X(m ) Y (m ) Z ( m ) x ( m ) y ( m ) z (m )1 0.0000 -10.0000 0.0000 5.0000 -8.6603 -41.50002 10.0000 -10.0000 0.0000 13.6603 -3.6603 -41.50003 20.0000 -10.0000 0.0000 22.3205 1.3397 -41.50003 20.0000 -10.0000 0.0000 22.3205 1.3397 -41.50004 0.0000 -2.0000 0.0000 1.0000 -1.7321 -41.50005 0.0000 0.0000 0.0000 0.0000 0.0000 -41.50006 20.0000 0.0000 0.0000 17.3205 10.0000 -41.50007 0.0000 2.0000 0.0000 -1.0000 1.7321 -41.50008 0.0000 10.0000 0.0000 -5.0000 8.6603 -41.50008 0.0000 10.0000 0.0000 -5.0000 8.6603 -41.50009 10.0000 10.0000 0.0000 3.6603 13.6603 -41.500010 20.0000 10.0000 0.0000 12.3205 18.6603 -41.500011 9.4152 -8.8303 9.5264 12.5689 -2.9397 -31.973612 9.4152 8.8303 9.5264 3.7386 12.3548 -31.973612 9.4152 8.8303 9.5264 3.7386 12.3548 -31.973613 0.0000 0.0000 10.1181 0.0000 0.0000 -31.381914 18.7577 0.0000 10.1181 16.2446 9.3788 -31.381915 0.0000 -7.7899 18.0000 3.8949 -6.7462 -23.500016 8.8949 -7.7899 18.0000 11.5982 -2.2988 -23.500017 17.7899 -7.7899 18.0000 19.3014 2.1487 -23.500016 8.8949 -7.7899 18.0000 11.5982 -2.2988 -23.500017 17.7899 -7.7899 18.0000 19.3014 2.1487 -23.500018 0.0000 0.0000 18.0000 0.0000 0.0000 -23.500019 17.7899 0.0000 18.0000 15.4065 8.8949 -23.500020 0.0000 7.7899 18.0000 -3.8949 6.7462 -23.500021 8.8949 7.7899 18.0000 3.8083 11.1937 -23.500021 8.8949 7.7899 18.0000 3.8083 11.1937 -23.500022 17.7899 7.7899 18.0000 11.5115 15.6412 -23.500023 0.0000 -5.8253 34.0000 2.9127 -5.0449 -7.500024 7.9127 -5.8253 34.0000 9.7652 -1.0885 -7.500025 15.8253 -5.8253 34.0000 16.6178 2.8678 -7.500026 0.0000 0.0000 34.0000 0.0000 0.0000 -7.500025 15.8253 -5.8253 34.0000 16.6178 2.8678 -7.500026 0.0000 0.0000 34.0000 0.0000 0.0000 -7.500027 15.8253 0.0000 34.0000 13.7051 7.9127 -7.500028 0.0000 5.8253 34.0000 -2.9127 5.0449 -7.500029 7.9127 5.8253 34.0000 3.9399 9.0012 -7.500030 15.8253 5.8253 34.0000 10.7925 12.9575 -7.500030 15.8253 5.8253 34.0000 10.7925 12.9575 -7.500031 0.0000 -4.2291 47.0000 2.1146 -3.6625 5.500032 7.1146 -4.2291 47.0000 8.2759 -0.1052 5.500033 14.2291 -4.2291 47.0000 14.4373 3.4520 5.500034 0.0000 0.0000 47.0000 0.0000 0.0000 5.500035 14.2291 0.0000 47.0000 12.3228 7.1146 5.500034 0.0000 0.0000 47.0000 0.0000 0.0000 5.500035 14.2291 0.0000 47.0000 12.3228 7.1146 5.500036 0.0000 4.2291 47.0000 -2.1146 3.6625 5.5000

37 7.1146 4.2291 47.0000 4.0468 7.2198 5.500038 14.2291 4.2291 47.0000 10.2082 10.7771 5.500039 0.0000 -3.8769 49.8690 1.9384 -3.3575 8.369040 3.0497 -3.8769 49.8690 4.5795 -1.8326 8.369040 3.0497 -3.8769 49.8690 4.5795 -1.8326 8.369041 13.8769 -3.8769 49.8690 13.9561 3.5810 8.369042 0.0000 -2.5592 49.8690 1.2796 -2.2163 8.369043 13.8769 -2.5592 49.8690 13.2973 4.7221 8.369044 0.0000 3.8769 49.8690 -1.9384 3.3575 8.369045 3.0497 3.8769 49.8690 0.7027 4.8823 8.369045 3.0497 3.8769 49.8690 0.7027 4.8823 8.369046 13.8769 3.8769 49.8690 10.0793 10.2959 8.369047 0.0000 -2.7557 59.0000 1.3779 -2.3865 17.500048 6.3779 -2.7557 59.0000 6.9012 0.8024 17.500049 12.7557 -2.7557 59.0000 12.4246 3.9913 17.500049 12.7557 -2.7557 59.0000 12.4246 3.9913 17.500050 0.0000 0.0000 59.0000 0.0000 0.0000 17.500051 12.7557 0.0000 59.0000 11.0468 6.3779 17.500052 0.0000 2.7557 59.0000 -1.3779 2.3865 17.500053 6.3779 2.7557 59.0000 4.1455 5.5754 17.500054 12.7557 2.7557 59.0000 9.6689 8.7644 17.500053 6.3779 2.7557 59.0000 4.1455 5.5754 17.500054 12.7557 2.7557 59.0000 9.6689 8.7644 17.5000

V./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG AIRY

LO Li ɛi203.71122 192.56287 11.14835198.13705 194.65452 3.482532 *CÁC THÔNG SỐ SÓNG THEO LÝ THUYẾT SÓNG AIRY198.13705 194.65452 3.482532 *CÁC THÔNG SỐ SÓNG THEO LÝ THUYẾT SÓNG AIRY196.39578 195.30481 1.090975195.85030 195.50817 0.342125195.67923 195.57191 0.107326 H ( m ) T ( s ) L0 (m ) d ( m ) ω=2*π/T k=2*π/L195.62557 195.59190 0.033672195.60873 195.59817 0.010565 0.523599 0.03212245314 12 195.60104 41.5195.60873 195.59817 0.010565195.60345 195.60014 0.003315195.60179 195.60075 0.00104195.60127 195.60095 0.000326195.60111 195.60101 0.000102

0.523599 0.03212245314 12 195.60104 41.5

195.60111 195.60101 0.000102195.60106 195.60103 3.21E-05195.60104 195.60103 1.01E-05

195.60104 195.60104 3.16E-06

VI./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG STOCKES BẬC 5VI./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG STOCKES BẬC 5

BẢNG 3.5a=k*H/2-(a^3*F33+a^5*(F35+F55) d/L0 F33 F35 F55 C1 C2L=g*T^2/2π*(1=a^2*C1+a^4*C2)th(2π*d/L) 0.2 0.996 3.679 1.734 1.549 5.044

BẢNG 3.3

L=g*T^2/2π*(1=a^2*C1+a^4*C2)th(2π*d/L) 0.2 0.996 3.679 1.734 1.549 5.0440.25 0.630 2.244 0.797 1.229 2.568

L0 Li ɛi d/L0 F33 F35 F55 C1 C2 a0 ai ɛi

203.71122 206.3603 2.64912 0.203720 0.9687714 3.572243102 1.664291837 1.525194 4.859798 0.215905 0.203698 0.012207205.03579 205.8572 0.82139 0.202404 0.9784050 3.610014043 1.688954814 1.533616 4.924969 0.209802 0.203321 0.006481205.44648 205.7353 0.28881 0.201999 0.9813667 3.621626429 1.696537257 1.536206 4.945006 0.206561 0.203432 0.003129205.44648 205.7353 0.28881 0.201999 0.9813667 3.621626429 1.696537257 1.536206 4.945006 0.206561 0.203432 0.003129205.59089 205.7029 0.11197 0.201857 0.9824053 3.625698504 1.699196166 1.537114 4.952032 0.204997 0.203540 0.001457205.64687 205.6932 0.04637 0.201802 0.9828076 3.627275628 1.700225968 1.537466 4.954753 0.204269 0.203602 0.000667205.67006 205.69 0.01998 0.201779 0.9829741 3.627928528 1.700652286 1.537611 4.955879 0.203935 0.203632 0.000303205.68005 205.6888 0.00880 0.201770 0.9830458 3.628209808 1.700835951 1.537674 4.956365 0.203784 0.203646 0.000137205.68005 205.6888 0.00880 0.201770 0.9830458 3.628209808 1.700835951 1.537674 4.956365 0.203784 0.203646 0.000137205.68445 205.6884 0.00392 0.201765 0.9830774 3.628333686 1.700916839 1.537702 4.956579 0.203715 0.203653 6.19E-05205.68641 205.6882 0.00176 0.201763 0.9830915 3.628388877 1.700952877 1.537714 4.956674 0.203684 0.203656 2.79E-05205.68729 205.6881 0.00079 0.201763 0.9830978 3.628413613 1.700969028 1.537719 4.956716 0.20367 0.203657 1.26E-05205.68768 205.688 0.00036 0.201762 0.9831007 3.628424731 1.700976288 1.537722 4.956736 0.203664 0.203658 5.68E-06205.68786 205.688 0.000160 0.201762 0.9831019 3.628429736 1.700979556 1.537723 4.956744 0.203661 0.203658 2.56E-06205.68786 205.688 0.000160 0.201762 0.9831019 3.628429736 1.700979556 1.537723 4.956744 0.203661 0.203658 2.56E-06205.68794 205.688 0.000072 0.201762 0.9831025 3.628431991 1.700981028 1.537724 4.956748 0.20366 0.203658 1.16E-06205.68798 205.688 0.000033 0.201762 0.9831028 3.628433007 1.700981692 1.537724 4.95675 0.203659 0.203659 5.21E-07205.68799 205.688 0.000015 0.201762 0.9831029 3.628433465 1.700981991 1.537724 4.956751 0.203659 0.203659 2.35E-07205.68800 205.688 0.000007 0.201762 0.9831029 3.628433671 1.700982125 1.537724 4.956751 0.203659 0.203659 1.06E-07205.68800 205.688 0.000007 0.201762 0.9831029 3.628433671 1.700982125 1.537724 4.956751 0.203659 0.203659 1.06E-07205.68800 205.688 0.000003 0.201762 0.9831030 3.628433764 1.700982186 1.537724 4.956751 0.203659 0.203659 4.77E-08

*CÁC THÔNG SỐ SÓNG THEO LTS STOCKES BẬC 5

L ( m ) H (m ) T (s ) d (m ) ω k=2*π/L

0.523598789 0.03054716514 12 41.5205.68800

VII. /XÁC ĐỊNH VÀ VẼ PROFIL SÓNG THEO LÝ THUYẾT SÓNG STOKES BẬC 5

BẢNG 3.3d/L F22 F24 F440.2 0.927 1.398 1.259

0.25 0.699 1.064 0.676

BẢNG 3.3

*Tiến hành nội suy ta có

L0 d/LO F22 F24 F44 F33 F35 F55205.688 0.201762 0.918966 1.386231 1.238456342 0.983102952 3.628433705 1.700982

ɳ(x,y,t)=F1/k*cos(θ)+F2/k*cos(2θ)+F3/k*cos(3θ)+F4/k*cos(4θ)+F5/k*cos(5θ)

với θ=kx-ωt

F1 F2 F3 F4 F5

ɳ(x,y,t)=F1/k*cos(θ)+F2/k*cos(2θ)+F3/k*cos(3θ)+F4/k*cos(4θ)+F5/k*cos(5θ)

F1 F2 F3 F4 F50.203659 0.040501 0.009576 0.00213055 0.0005960

T (s ) t=0 (s ) t=T/4 (s ) t=T/2 ( s ) t=3T/4 ( s )12 0 3 6 912 0 3 6 9

θ ɳ θ ɳ θ ɳ θ ɳ

6 9 x 0 3

θ ɳ θ ɳ θ ɳ θ ɳ0 0 8.395585 -1.570796366 -1.25609081 -3.141592732 -5.604418 -4.71239 -1.2560920 0.610943 5.760193 -0.959853069 3.016683787 -2.530649435 -4.960542 -4.10145 -4.03011

40 1.221887 1.023331 -0.348909772 7.44686657 -1.919706138 -3.030855 -3.4905 -5.3907360 1.83283 -2.63718 0.262033525 7.848687296 -1.308762841 0.411016 -2.87956 -5.4832680 2.443773 -4.76821 0.872976822 3.709065508 -0.697819544 5.099282 -2.26862 -4.30217

100 3.054716 -5.59101 1.483920119 -0.73438637 -0.086876247 8.33391 -1.65767 -1.74621100 3.054716 -5.59101 1.483920119 -0.73438637 -0.086876247 8.33391 -1.65767 -1.74621120 3.66566 -5.12803 2.094863416 -3.72928809 0.52406705 6.381746 -1.04673 2.33563140 4.276603 -3.39296 2.705806713 -5.27301446 1.135010347 1.662357 -0.43579 6.955773160 4.887546 -0.17244 3.31675001 -5.55005505 1.745953644 -2.211551 0.175157 8.147312180 5.49849 4.414691 3.927693307 -4.54672156 2.356896941 -4.550457 0.786101 4.403505200 6.109433 8.151229 4.538636604 -2.20440475 2.967840238 -5.550921 1.397044 -0.18163200 6.109433 8.151229 4.538636604 -2.20440475 2.967840238 -5.550921 1.397044 -0.18163220 6.720376 6.947184 5.149579901 1.672894401 3.578783535 -5.270907 2.007987 -3.39856240 7.33132 2.32475 5.760523198 6.39138272 4.189726832 -3.72418 2.61893 -5.13054260 7.942263 -1.75387 6.371466495 8.331906054 4.800670129 -0.725693 3.229874 -5.59057280 8.553206 -4.30635 6.982409792 5.088359447 5.411613426 3.720308 3.840817 -4.7649280 8.553206 -4.30635 6.982409792 5.088359447 5.411613426 3.720308 3.840817 -4.7649300 9.164149 -5.48455 7.593353089 0.401346447 6.022556723 7.854371 4.45176 -2.63055

SÓNG TOCKES BẬC 5

468

10

-2024

0 50 100 150 200 250 300 350

neta

-8-6-4

xt=O t= T/4" t=T/2 t=3T/4xt=O t= T/4" t=T/2 t=3T/4

VIII./ Vẽ Profil Sóng Theo Lý Thuyết Sóng Airy thông số sóng airyVIII./ Vẽ Profil Sóng Theo Lý Thuyết Sóng Airyk ω H

ɳ(x,t)=H/2*cosθ với θ =kx-ωt 0.032122453 0.523599 14

t=T/2 t=3T/4t=T/4

thông số sóng airy

t=0

θ ɳ θ ɳ θ ɳ θ ɳ0 0 7 -1.57079633 0.0000000 -3.141593 -7 -4.71239 -1.28641E-1520 0.642449 5.604415465 -0.92834726 4.1941063 -2.499144 -5.60442 -4.06994 -4.194106257

t=T/2 t=3T/40 3

t=T/496X

t=0

20 0.642449 5.604415465 -0.92834726 4.1941063 -2.499144 -5.60442 -4.06994 -4.19410625740 1.284898 1.974135059 -0.28589819 6.7158611 -1.856695 -1.97414 -3.42749 -6.71586113460 1.927347 -2.443308878 0.356550882 6.5597440 -1.214245 2.443309 -2.78504 -6.55974402980 2.569796 -5.886511648 0.998999951 3.7880048 -0.571796 5.886512 -2.14259 -3.788004833100 3.212245 -6.982535955 1.641449021 -0.4941575 0.070653 6.982536 -1.50014 0.494157495120 3.854694 -5.294354779 2.28389809 -4.5792802 0.713102 5.294355 -0.85769 4.579280236100 3.212245 -6.982535955 1.641449021 -0.4941575 0.070653 6.982536 -1.50014 0.494157495120 3.854694 -5.294354779 2.28389809 -4.5792802 0.713102 5.294355 -0.85769 4.579280236140 4.497143 -1.495110845 2.92634716 -6.8384679 1.355551 1.495111 -0.21525 6.838467925160 5.139593 2.900291253 3.568796229 -6.3708956 1.998 -2.90029 0.427204 6.370895592180 5.782042 6.139235745 4.211245299 -3.3630023 2.640449 -6.13924 1.069653 3.363002299200 6.424491 6.930230963 4.853694368 0.9858493 3.282898 -6.93023 1.712102 -0.98584928200 6.424491 6.930230963 4.853694368 0.9858493 3.282898 -6.93023 1.712102 -0.98584928220 7.06694 4.957876707 5.496143438 4.9416049 3.925347 -4.95788 2.354551 -4.941604856240 7.709389 1.008626435 6.138592507 6.9269526 4.567796 -1.00863 2.997 -6.926952628260 8.351838 -3.342801967 6.781041577 6.1502581 5.210245 3.342802 3.639449 -6.150258126280 8.994287 -6.361326732 7.423490646 2.9212193 5.852694 6.361327 4.281898 -2.921219302300 9.636736 -6.843346009 8.065939716 -1.4726219 6.495143 6.843346 4.924347 1.472621945280 8.994287 -6.361326732 7.423490646 2.9212193 5.852694 6.361327 4.281898 -2.921219302300 9.636736 -6.843346009 8.065939716 -1.4726219 6.495143 6.843346 4.924347 1.472621945

8SÓNG AIRY

6

8

0

2

4

-6

-4

-2

00 50 100 150 200 250 300 350

-8

-6

t=0 t=T/4 t=T/2 t=3T/4

XI./ So Sánh Sóng airy Và Sóng Stockes Bậc 5

10

4

6

8

10

-4

-2

0

2

0 50 100 150 200 250 300 350

NET

A

-8

-6

-4

Xsóng airy stocke bậc 5

nhận xét

X. TÍNH VẬN TỐC, GIA TỐC CHUYỂN ĐỘNG CỦA PHẦN TỬ NƯỚC

10.1/ Tính hệ số G(n)10.1/ Tính hệ số G(n)

d/L G11 G13 G15 G22 G24 G33 G35 G44 G550.2 1 -1.263 -2.266 0.326 0.68 -0.017 1.039 -0.044 0.0060.25 1 -0.911 -1.415 0.154 0.673 -0.03 0.44 -0.005 0.005

BẢNG 3.4

0.2 1 -1.263 -2.266 0.326 0.68 -0.017 1.039 -0.044 0.0060.25 1 -0.911 -1.415 0.154 0.673 -0.03 0.44 -0.005 0.005

nội suy ta có bảng sau :

d/L G11 G13 G15 G22 G24 G33 G35 G44 G55d/L G11 G13 G15 G22 G24 G33 G35 G44 G550.201762 1 -1.2506 -2.236012637 0.319939099 0.679753335 -0.017458 1.017893 -0.04263 0.005964762

a G1 G2 G3 G4 G5 Trong đó:0.203659 0.192311 0.028879 0.000627473 -0.00029332 1.04491E-05 G1=a*G11+a^3*G13+a^5*G15

a G1 G2 G3 G4 G5 Trong đó:0.203659 0.192311 0.028879 0.000627473 -0.00029332 1.04491E-05 G1=a*G11+a^3*G13+a^5*G15

G2=2*(a^2*G22*a^4*G24)G3=3*(a^3*G33+a^5*G35)G4=4*a^4*G44

10.2./ Tính hệ số Un, Vn,Rn và Sn (n=1 ~5 ) G5=5*a^5*G5510.2./ Tính hệ số Un, Vn,Rn và Sn (n=1 ~5 ) G5=5*a^5*G55

Un=Gn*cosh(nkz)/sinh(nkd)Vn=Gn*sinh(nkz)/sinh(nkd)R1=2*U1-U1*U2-U2*U3-V1*V2-V2*V3 S1=2*V1-3*U1*V2-3*U2*V1-5*U2*V3-5*U3*V2R2=4*U2-U1^2+V1^2-2*U1*U3-V1*V3 S2=4*V2-4*U1*V3-4*U3*V1R1=2*U1-U1*U2-U2*U3-V1*V2-V2*V3 S1=2*V1-3*U1*V2-3*U2*V1-5*U2*V3-5*U3*V2R2=4*U2-U1^2+V1^2-2*U1*U3-V1*V3 S2=4*V2-4*U1*V3-4*U3*V1R3=6*U3-3*U1*U2+3*V1*V2-3*U1*U4-3*V1*V4 S3=6*V3-U1*V2+U2*V1-5*U1*V4-5*U4*V1

R4=8*U4-2*U2^2+2*V2^2-4*U1*U3+4*V1*V3 S4=8*V4-2*U1*V3+2*U3*V1+4*U2*V2R5=10*U5-5*U1*U4-5*U2*U3+5*V1*V4+58V2*V3 S5=10*V5-3*U1*V4+3*U4*V1-U2*V3+U3*V2

z ( m ) U1 U2 U3 U4 U5 V1 V2 V3 V4 V5-41.5000 0.225407 0.029244 0.000628 -0.000293344 1.04491E-05 -0.192311272 -0.028879 -0.00063 0.000293 -1.04491E-05-31.9736 0.178262 0.016565 0.000263 -9.16239E-05 2.43891E-06 -0.133987652 -0.015912 -0.00026 9.15E-05 -2.43863E-06-31.3819 0.175869 0.016001 0.000249 -8.52388E-05 2.22818E-06 -0.130787329 -0.015324 -0.00025 8.52E-05 -2.22788E-06-23.5000 0.149196 0.010224 0.000122 -3.2626E-05 6.69002E-07 -0.091842379 -0.009129 -0.00012 3.24E-05 -6.67983E-07-23.5000 0.149196 0.010224 0.000122 -3.2626E-05 6.69002E-07 -0.091842379 -0.009129 -0.00012 3.24E-05 -6.67983E-07-7.5000 0.120677 0.005097 3.49E-05 -5.34028E-06 6.3919E-08 -0.027173747 -0.002185 -2.1E-05 3.87E-06 -5.21748E-085.5000 0.119241 0.004867 3.16E-05 -4.54599E-06 5.07376E-08 0.019847214 0.001577 1.47E-05 -2.7E-06 3.47976E-088.3690 0.121441 0.00522 3.66E-05 -5.78183E-06 7.14283E-08 0.030387125 0.002458 2.36E-05 -4.5E-06 6.11438E-08

z (m ) R1 R2 R3 R4 R5 S1 S2 S3 S4 S5-41.5000 0.438631 0.102747 0.001022 -0.002472792 0.000151819 -0.348039893 -0.115516 -0.00349 -0.00099 -0.000133389-31.9736 0.35143 0.052308 -0.0008 -0.000822775 4.3744E-05 -0.252764485 -0.06365 -0.00109 -0.0003 -3.63694E-05-41.5000 0.438631 0.102747 0.001022 -0.002472792 0.000151819 -0.348039893 -0.115516 -0.00349 -0.00099 -0.000133389-31.9736 0.35143 0.052308 -0.0008 -0.000822775 4.3744E-05 -0.252764485 -0.06365 -0.00109 -0.0003 -3.63694E-05-31.3819 0.346912 0.050058 -0.00086 -0.000770079 4.0583E-05 -0.247172809 -0.061296 -0.00101 -0.00028 -3.36214E-05-23.5000 0.296026 0.027026 -0.0013 -0.000332659 1.53238E-05 -0.176770056 -0.036517 -0.00033 -0.0001 -1.20995E-05-7.5000 0.240679 0.006554 -0.00146 -9.97099E-05 2.67426E-06 -0.053140162 -0.008745 -2.7E-06 -1E-05 -1.45672E-065.5000 0.23787 0.005637 -0.00146 -9.26993E-05 2.29938E-06 0.038840004 0.006284 -1E-06 7.12E-06 1.00901E-065.5000 0.23787 0.005637 -0.00146 -9.26993E-05 2.29938E-06 0.038840004 0.006284 -1E-06 7.12E-06 1.00901E-068.3690 0.242173 0.007046 -0.00146 -0.000103595 2.88191E-06 0.059401631 0.009805 5.51E-06 1.22E-05 1.67494E-06

10.3./ Tính vận tốc truyền sóng10.3./ Tính vận tốc truyền sóng

C=sqrt(g/k*(1+a^2*C1+a^4*C2)tanh(k*d))

ω( rad ) a d (m ) k C1 C2 C (m )

1.53772391 4.956151 17.140660.030547 0.203659 41.5 0.030547165

8.369048

1.53772391 4.956151 17.140660.030547 0.203659 41.5 0.030547165

10.4 Tính vận tốc ,gia tốc chuyển động của phần tử nước

T (s ) t=0 (s ) t=T/4 (s ) t=T/2 (s ) t=3T/4 (s )T (s ) t=0 (s ) t=T/4 (s ) t=T/2 (s ) t=3T/4 (s )12 0 3 6 9

t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/4V (z ) (m/s) tại các thời điểm

NÚTTỌA ĐỘ NÚT V( x ) tại các thời điểm

t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/40 3 6 9 0 3 6 9

1 5.0000 -8.6603 -41.5000 0.120623 0.12195293 0.122143452 0.121192099 0 0 0 02 13.6603 -3.6603 -41.5000 0.11059 0.115075542 0.118502329 0.120830271 0 0 0 03 22.3205 1.3397 -41.5000 0.092227 0.099437414 0.105768919 0.111149707 0 0 0 0

x y zNÚT

3 22.3205 1.3397 -41.5000 0.092227 0.099437414 0.105768919 0.111149707 0 0 0 04 1.0000 -1.7321 -41.5000 0.122143 0.12195293 0.120622792 0.118168785 0 0 0 05 0.0000 0.0000 -41.5000 0.122207 0.121635673 0.119928502 0.117105667 0 0 0 06 17.3205 10.0000 -41.5000 0.103761 0.109465803 0.114177584 0.117841243 0 0 0 07 -1.0000 1.7321 -41.5000 0.122143 0.121192099 0.119110142 0.115922176 0 0 0 08 -5.0000 8.6603 -41.5000 0.120623 0.118168786 0.114619859 0.110017643 0 0 0 07 -1.0000 1.7321 -41.5000 0.122143 0.121192099 0.119110142 0.115922176 0 0 0 08 -5.0000 8.6603 -41.5000 0.120623 0.118168786 0.114619859 0.110017643 0 0 0 09 3.6603 13.6603 -41.5000 0.121357 0.122179288 0.12185934 0.120400886 0 0 0 010 12.3205 18.6603 -41.5000 0.112721 0.116739385 0.119679673 0.121507234 0 0 0 011 12.5689 -2.9397 -31.9736 0.117572 0.121923159 0.125137026 0.127174123 0.014987 0.01158 0.008035 0.00439528812 3.7386 12.3548 -31.9736 0.127091 0.127994674 0.127686936 0.12617134 0.004603 0.000912 -0.00279 -0.00645816112 3.7386 12.3548 -31.9736 0.127091 0.127994674 0.127686936 0.12617134 0.004603 0.000912 -0.00279 -0.00645816113 0.0000 0.0000 -31.3819 0.128786 0.128175394 0.126351206 0.123335719 0 -0.00394 -0.00783 -0.01162436114 16.2446 9.3788 -31.3819 0.111394 0.11710829 0.121743255 0.125242993 0.020142 0.01675 0.013161 0.00941674715 3.8949 -6.7462 -23.5000 0.142365 0.143482146 0.143199546 0.14152093 0.009533 0.002198 -0.00516 -0.01246363416 11.5982 -2.2988 -23.5000 0.133236 0.137837459 0.141112677 0.143019141 0.027623 0.020763 0.013651 0.00637129517 19.3014 2.1487 -23.5000 0.115803 0.123500694 0.130055464 0.135384339 0.043527 0.037674 0.031373 0.02469409316 11.5982 -2.2988 -23.5000 0.133236 0.137837459 0.141112677 0.143019141 0.027623 0.020763 0.013651 0.00637129517 19.3014 2.1487 -23.5000 0.115803 0.123500694 0.130055464 0.135384339 0.043527 0.037674 0.031373 0.02469409318 0.0000 0.0000 -23.5000 0.143545 0.142844259 0.140752625 0.137296931 0 -0.00735 -0.01462 -0.0216986919 15.4065 8.8949 -23.5000 0.12558 0.131776836 0.136726034 0.140363475 0.035838 0.029417 0.02264 0.01558750220 -3.8949 6.7462 -23.5000 0.142365 0.139862814 0.136008124 0.130850967 -0.009533 -0.01675 -0.02376 -0.03048848121 3.8083 11.1937 -23.5000 0.142417 0.143493637 0.143170586 0.141451899 0.009322 0.001985 -0.00538 -0.01267254221 3.8083 11.1937 -23.5000 0.142417 0.143493637 0.143170586 0.141451899 0.009322 0.001985 -0.00538 -0.01267254222 11.5115 15.6412 -23.5000 0.133387 0.137950883 0.141187087 0.143053567 0.027429 0.020561 0.013443 0.00615947123 2.9127 -5.0449 -7.5000 0.204734 0.205771164 0.204605763 0.201255622 0.016155 -0.00049 -0.01712 -0.03352454624 9.7652 -1.0885 -7.5000 0.194246 0.200200653 0.204038503 0.205700354 0.053003 0.037177 0.020855 0.00425276625 16.6178 2.8678 -7.5000 0.173244 0.183643811 0.192179154 0.198720302 0.086206 0.072267 0.057381 0.04173422326 0.0000 0.0000 -7.5000 0.205772 0.204670737 0.201383633 0.195961385 0 -0.01664 -0.03305 -0.04902486925 16.6178 2.8678 -7.5000 0.173244 0.183643811 0.192179154 0.198720302 0.086206 0.072267 0.057381 0.04173422326 0.0000 0.0000 -7.5000 0.205772 0.204670737 0.201383633 0.195961385 0 -0.01664 -0.03305 -0.04902486927 13.7051 7.9127 -7.5000 0.183367 0.191958286 0.198559054 0.20306805 0.072687 0.057826 0.042199 0.026008896

28 -2.9127 5.0449 -7.5000 0.204734 0.201509831 0.196148724 0.188732773 -0.016155 -0.03258 -0.04857 -0.06391069229 3.9399 9.0012 -7.5000 0.203874 0.205663866 0.205252393 0.202646211 0.021815 0.005223 -0.01144 -0.02794691430 10.7925 12.9575 -7.5000 0.191736 0.198396031 0.202967063 0.205378594 0.05827 0.042663 0.026486 0.00995520131 2.1146 -3.6625 5.5000 0.301459 0.302189231 0.299358193 0.29301392 0.020328 -0.00852 -0.03724 -0.06542300331 2.1146 -3.6625 5.5000 0.301459 0.302189231 0.299358193 0.29301392 0.020328 -0.00852 -0.03724 -0.06542300332 8.2759 -0.1052 5.5000 0.28891 0.296849221 0.301318346 0.302240729 0.078184 0.050399 0.021876 -0.00696818533 14.4373 3.4520 5.5000 0.26236 0.276938183 0.288386639 0.296509471 0.131252 0.106221 0.079649 0.05191586734 0.0000 0.0000 5.5000 0.302345 0.300562537 0.295246572 0.286487669 0 -0.02881 -0.05719 -0.08473336535 12.3228 7.1146 5.5000 0.272951 0.285345859 0.294467296 0.300159121 0.113786 0.08763 0.060199 0.03188660736 -2.1146 3.6625 5.5000 0.301459 0.297178914 0.289423207 0.278324149 -0.020328 -0.04888 -0.07671 -0.10342973136 -2.1146 3.6625 5.5000 0.301459 0.297178914 0.289423207 0.278324149 -0.020328 -0.04888 -0.07671 -0.10342973137 4.0468 7.2198 5.5000 0.299106 0.30212741 0.301588652 0.297498532 0.038778 0.010073 -0.01878 -0.04735793838 10.2082 10.7771 5.5000 0.28202 0.292125973 0.298842835 0.302055271 0.0955 0.068405 0.04031 0.01162481539 1.9384 -3.3575 8.3690 0.33082 0.331405208 0.327995515 0.320650389 0.020973 -0.01149 -0.04379 -0.07543029440 4.5795 -1.8326 8.3690 0.327006 0.331101045 0.331207124 0.327322159 0.049312 0.017096 -0.01538 -0.04761859240 4.5795 -1.8326 8.3690 0.327006 0.331101045 0.331207124 0.327322159 0.049312 0.017096 -0.01538 -0.04761859241 13.9561 3.5810 8.3690 0.289663 0.305461472 0.317715616 0.326212632 0.143154 0.114761 0.084668 0.05331434342 1.2796 -2.2163 8.3690 0.331292 0.330997696 0.326716264 0.318521563 0.013853 -0.01862 -0.05081 -0.08224453443 13.2973 4.7221 8.3690 0.293423 0.308464779 0.319909817 0.327559632 0.137085 0.108283 0.077875 0.0463053744 -1.9384 3.3575 8.3690 0.33082 0.3262513 0.31777696 0.305544427 -0.020973 -0.05313 -0.08449 -0.1145884145 0.7027 4.8823 8.3690 0.331546 0.330482708 0.325440869 0.316507867 0.00761 -0.02485 -0.05693 -0.08816285944 -1.9384 3.3575 8.3690 0.33082 0.3262513 0.31777696 0.305544427 -0.020973 -0.05313 -0.08449 -0.1145884145 0.7027 4.8823 8.3690 0.331546 0.330482708 0.325440869 0.316507867 0.00761 -0.02485 -0.05693 -0.08816285946 10.0793 10.2959 8.3690 0.30942 0.32059558 0.327963619 0.331396779 0.106123 0.075614 0.043979 0.011685782

t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/40 3 6 9 0 3 6 9

NÚTTỌA ĐỘ NÚT W( x ) (m/s2) tại các thời điểm W (z ) (m/s2) tại các thời điểm

x y z 0 3 6 9 0 3 6 91 5.0000 -8.6603 -41.5000 0.434263 0.174731542 -0.08743923 -0.348289245 -2.056114 -2.09368 -2.09908 -2.0721640512 13.6603 -3.6603 -41.5000 1.133273 0.90297995 0.65903524 0.405128327 -1.780054 -1.90189 -1.9967 -2.0619583983 22.3205 1.3397 -41.5000 1.691106 1.518586863 1.32326588 1.107989937 -1.307416 -1.48803 -1.65191 -1.7951156964 1.0000 -1.7321 -41.5000 0.087439 -0.174731545 -0.43426289 -0.687232191 -2.099078 -2.09368 -2.05611 -1.987405275 0.0000 0.0000 -41.5000 0 -0.261730289 -0.51950663 -0.769431704 -2.10088 -2.0847 -2.0366 -1.9578786245 0.0000 0.0000 -41.5000 0 -0.261730289 -0.51950663 -0.769431704 -2.10088 -2.0847 -2.0366 -1.9578786246 17.3205 10.0000 -41.5000 1.390739 1.181774101 0.954960574 0.713710301 -1.599393 -1.74991 -1.8773 -1.9782928497 -1.0000 1.7321 -41.5000 -0.08744 -0.348289243 -0.60387706 -0.850337239 -2.099078 -2.07216 -2.01367 -1.9251782898 -5.0000 8.6603 -41.5000 -0.43426 -0.687232188 -0.92981265 -1.158336086 -2.056114 -1.98741 -1.8894 -1.764685789 3.6603 13.6603 -41.5000 0.31894 0.05774122 -0.20432928 -0.463313182 -2.076819 -2.10009 -2.09103 -2.0498690729 3.6603 13.6603 -41.5000 0.31894 0.05774122 -0.20432928 -0.463313182 -2.076819 -2.10009 -2.09103 -2.04986907210 12.3205 18.6603 -41.5000 1.032343 0.795510052 0.546649964 0.289528008 -1.837619 -1.94774 -2.02962 -2.08106641611 12.5689 -2.9397 -31.9736 0.746982 0.578007265 0.401498287 0.219750999 -1.25914 -1.32802 -1.3795 -1.412395615

12 3.7386 12.3548 -31.9736 0.23013 0.045612995 -0.13949969 -0.322791511 -1.411046 -1.4257 -1.42071 -1.39617635813 0.0000 0.0000 -31.3819 0 -0.181202034 -0.36006331 -0.534274705 -1.390173 -1.38064 -1.35227 -1.30571269914 16.2446 9.3788 -31.3819 0.922397 0.768470893 0.604651242 0.433032596 -1.125496 -1.2109 -1.2813 -1.33511158315 3.8949 -6.7462 -23.5000 0.183576 0.042305301 -0.09943594 -0.240070004 -0.948717 -1.38932 -0.95606 -0.94130394215 3.8949 -6.7462 -23.5000 0.183576 0.042305301 -0.09943594 -0.240070004 -0.948717 -1.38932 -0.95606 -0.94130394216 11.5982 -2.2988 -23.5000 0.533254 0.400344022 0.26297177 0.122670174 -0.869175 -1.31297 -0.93772 -0.9544699117 19.3014 2.1487 -23.5000 0.843947 0.729115402 0.606160344 0.476447225 -0.721186 -1.12375 -0.84179 -0.88776735518 0.0000 0.0000 -23.5000 0 -0.141575933 -0.28157535 -0.418437983 -0.959096 -1.38064 -0.93457 -0.90438562119 15.4065 8.8949 -23.5000 0.693227 0.568108553 0.436656483 0.300337275 -0.803542 -1.23215 -0.89942 -0.93115803620 -3.8949 6.7462 -23.5000 -0.18358 -0.322801329 -0.45843055 -0.588949585 -0.948717 -1.34025 -0.89318 -0.84862260120 -3.8949 6.7462 -23.5000 -0.18358 -0.322801329 -0.45843055 -0.588949585 -0.948717 -1.34025 -0.89318 -0.84862260121 3.8083 11.1937 -23.5000 0.179517 0.038211487 -0.1035199 -0.24409862 -0.949172 -1.38948 -0.9558 -0.94069820722 11.5115 15.6412 -23.5000 0.529493 0.396432249 0.258953724 0.118590653 -0.870479 -1.31449 -0.93838 -0.95477288323 2.9127 -5.0449 -7.5000 0.0993 -0.002981539 -0.10523768 -0.206613282 -0.276205 -0.27777 -0.27601 -0.27096130224 9.7652 -1.0885 -7.5000 0.32844 0.229310387 0.128252245 0.026120249 -0.260421 -0.26937 -0.27516 -0.2776635824 9.7652 -1.0885 -7.5000 0.32844 0.229310387 0.128252245 0.026120249 -0.260421 -0.26937 -0.27516 -0.2776635825 16.6178 2.8678 -7.5000 0.543075 0.451542251 0.356140425 0.257715136 -0.229064 -0.24455 -0.25732 -0.2671448626 0.0000 0.0000 -7.5000 0 -0.102268962 -0.20368229 -0.30338471 -0.277772 -0.27611 -0.27115 -0.26299730127 13.7051 7.9127 -7.5000 0.454266 0.358964739 0.260615455 0.160069715 -0.244136 -0.25699 -0.2669 -0.27369251228 -2.9127 5.0449 -7.5000 -0.0993 -0.200749842 -0.30051415 -0.397738658 -0.276205 -0.27134 -0.26328 -0.25215743529 3.9399 9.0012 -7.5000 0.134174 0.032081316 -0.07027969 -0.172053123 -0.274908 -0.27761 -0.27699 -0.27305660828 -2.9127 5.0449 -7.5000 -0.0993 -0.200749842 -0.30051415 -0.397738658 -0.276205 -0.27134 -0.26328 -0.25215743529 3.9399 9.0012 -7.5000 0.134174 0.032081316 -0.07027969 -0.172053123 -0.274908 -0.27761 -0.27699 -0.27305660830 10.7925 12.9575 -7.5000 0.361786 0.263513912 0.163020048 0.061159441 -0.256656 -0.26666 -0.27354 -0.27717789831 2.1146 -3.6625 5.5000 0.070799 -0.029662537 -0.12988134 -0.229035246 0.201924 0.202419 0.200503 0.19621233232 8.2759 -0.1052 5.5000 0.274403 0.17602179 0.076194308 -0.024256884 0.193439 0.198806 0.201829 0.20245364233 14.4373 3.4520 5.5000 0.468439 0.375605871 0.279638719 0.181358527 0.175528 0.185356 0.193085 0.19857593733 14.4373 3.4520 5.5000 0.468439 0.375605871 0.279638719 0.181358527 0.175528 0.185356 0.193085 0.19857593734 0.0000 0.0000 5.5000 0 -0.100375931 -0.19992969 -0.297838727 0.202524 0.201318 0.197722 0.19180229435 12.3228 7.1146 5.5000 0.403368 0.308240625 0.210557574 0.111141277 0.182666 0.191031 0.197195 0.20104490536 -2.1146 3.6625 5.5000 -0.0708 -0.170680867 -0.26916092 -0.365416404 0.201924 0.199029 0.193785 0.18629094137 4.0468 7.2198 5.5000 0.13525 0.035067489 -0.06540182 -0.165335887 0.200332 0.202377 0.202012 0.19924491338 10.2082 10.7771 5.5000 0.33662 0.239605636 0.140615322 0.04047161 0.188785 0.195612 0.200154 0.20232811637 4.0468 7.2198 5.5000 0.13525 0.035067489 -0.06540182 -0.165335887 0.200332 0.202377 0.202012 0.19924491338 10.2082 10.7771 5.5000 0.33662 0.239605636 0.140615322 0.04047161 0.188785 0.195612 0.200154 0.20232811639 1.9384 -3.3575 8.3690 0.066788 -0.03659139 -0.13966163 -0.241549336 0.309866 0.31041 0.307237 0.30040655340 4.5795 -1.8326 8.3690 0.157361 0.054432947 -0.04895546 -0.151930219 0.306317 0.310127 0.310226 0.30661095341 13.9561 3.5810 8.3690 0.466495 0.370624311 0.271572445 0.170206266 0.271647 0.286298 0.297679 0.30557882442 1.2796 -2.2163 8.3690 0.044102 -0.059284087 -0.16216945 -0.263680569 0.310305 0.310031 0.306047 0.29842782942 1.2796 -2.2163 8.3690 0.044102 -0.059284087 -0.16216945 -0.263680569 0.310305 0.310031 0.306047 0.29842782943 13.2973 4.7221 8.3690 0.445756 0.349113558 0.249478912 0.147721103 0.275132 0.289086 0.299718 0.30683187844 -1.9384 3.3575 8.3690 -0.06679 -0.16960291 -0.27098016 -0.370048237 0.309866 0.305615 0.297736 0.28637537445 0.7027 4.8823 8.3690 0.024223 -0.079134972 -0.18182386 -0.282970697 0.310541 0.309552 0.304861 0.2965565446 10.0793 10.2959 8.3690 0.341964 0.242145387 0.140267253 0.037201427 0.289973 0.300356 0.307208 0.31040248246 10.0793 10.2959 8.3690 0.341964 0.242145387 0.140267253 0.037201427 0.289973 0.300356 0.307208 0.310402482