1. TRƯỜNG ĐẠI HỌC XÂY DỰNG
VIỆN XÂY DỰNG CÔNG TRÌNH BIỂN
BÀI TẬP LỚN
MÔI TRƯỜNG BIỂN
SINH VIÊN :NGUYỄN XUÂN LƯU
MSSV :87653 - LỚP 53CB3
MÃ ĐỀ : A-VI-4
I /SỐ LIỆU TÍNH TOÁN
1.1 /số liệu môi trường
chiều cao sóng H ( m ) 14
chu kỳ sóng T (s ) 12
Độ sâu nước d0 (m ) 37
Biên độ thủy triều lớn nhất d1 (m) 3
Chiều cao nước dâng do bão d2`(m ) 1.5
Hướng sóng α (độ ) 30 0.5236
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

2. II /TÍNH ĐỘ SÂU NƯỚC TÍNH TOÁN
d=d0 +d1+d2= 41.5 (m)
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 biển
chon hệ trục oxyz là hệ trục tọa độ của sóng ( trục ox trùng với hướng sóng ,trục oxy trùng với MNL )
z
y
z'
y'
MLN x
x'
α
d Z
Y
ĐÁY BIỂN
O X
công thức đổi trục
x=x'cosα-y'sinα x'=X x=Xcosα-Ysinα
y=x'sinα +y'cosα (xoay ) y'=Y (tịnh tiến xuống) y=Xsinα +Ycosα
z=z' z'=Z z=Z -d
IV /TÍNH TỌA ĐỘ NÚT

3. NÚT X(m ) Y (m ) Z(m) x(m) y(m) z (m )
1 0.0000 -10.0000 0.0000 5.0000 -8.6603 -41.5000
2 10.0000 -10.0000 0.0000 13.6603 -3.6603 -41.5000
3 20.0000 -10.0000 0.0000 22.3205 1.3397 -41.5000
4 0.0000 -2.0000 0.0000 1.0000 -1.7321 -41.5000
5 0.0000 0.0000 0.0000 0.0000 0.0000 -41.5000
6 20.0000 0.0000 0.0000 17.3205 10.0000 -41.5000
7 0.0000 2.0000 0.0000 -1.0000 1.7321 -41.5000
8 0.0000 10.0000 0.0000 -5.0000 8.6603 -41.5000
9 10.0000 10.0000 0.0000 3.6603 13.6603 -41.5000
10 20.0000 10.0000 0.0000 12.3205 18.6603 -41.5000
11 9.4152 -8.8303 9.5264 12.5689 -2.9397 -31.9736
12 9.4152 8.8303 9.5264 3.7386 12.3548 -31.9736
13 0.0000 0.0000 10.1181 0.0000 0.0000 -31.3819
14 18.7577 0.0000 10.1181 16.2446 9.3788 -31.3819
15 0.0000 -7.7899 18.0000 3.8949 -6.7462 -23.5000
16 8.8949 -7.7899 18.0000 11.5982 -2.2988 -23.5000
17 17.7899 -7.7899 18.0000 19.3014 2.1487 -23.5000
18 0.0000 0.0000 18.0000 0.0000 0.0000 -23.5000
19 17.7899 0.0000 18.0000 15.4065 8.8949 -23.5000
20 0.0000 7.7899 18.0000 -3.8949 6.7462 -23.5000
21 8.8949 7.7899 18.0000 3.8083 11.1937 -23.5000
22 17.7899 7.7899 18.0000 11.5115 15.6412 -23.5000
23 0.0000 -5.8253 34.0000 2.9127 -5.0449 -7.5000
24 7.9127 -5.8253 34.0000 9.7652 -1.0885 -7.5000
25 15.8253 -5.8253 34.0000 16.6178 2.8678 -7.5000
26 0.0000 0.0000 34.0000 0.0000 0.0000 -7.5000
27 15.8253 0.0000 34.0000 13.7051 7.9127 -7.5000
28 0.0000 5.8253 34.0000 -2.9127 5.0449 -7.5000
29 7.9127 5.8253 34.0000 3.9399 9.0012 -7.5000
30 15.8253 5.8253 34.0000 10.7925 12.9575 -7.5000
31 0.0000 -4.2291 47.0000 2.1146 -3.6625 5.5000
32 7.1146 -4.2291 47.0000 8.2759 -0.1052 5.5000
33 14.2291 -4.2291 47.0000 14.4373 3.4520 5.5000
34 0.0000 0.0000 47.0000 0.0000 0.0000 5.5000
35 14.2291 0.0000 47.0000 12.3228 7.1146 5.5000
36 0.0000 4.2291 47.0000 -2.1146 3.6625 5.5000

4. 37 7.1146 4.2291 47.0000 4.0468 7.2198 5.5000
38 14.2291 4.2291 47.0000 10.2082 10.7771 5.5000
39 0.0000 -3.8769 49.8690 1.9384 -3.3575 8.3690
40 3.0497 -3.8769 49.8690 4.5795 -1.8326 8.3690
41 13.8769 -3.8769 49.8690 13.9561 3.5810 8.3690
42 0.0000 -2.5592 49.8690 1.2796 -2.2163 8.3690
43 13.8769 -2.5592 49.8690 13.2973 4.7221 8.3690
44 0.0000 3.8769 49.8690 -1.9384 3.3575 8.3690
45 3.0497 3.8769 49.8690 0.7027 4.8823 8.3690
46 13.8769 3.8769 49.8690 10.0793 10.2959 8.3690
47 0.0000 -2.7557 59.0000 1.3779 -2.3865 17.5000
48 6.3779 -2.7557 59.0000 6.9012 0.8024 17.5000
49 12.7557 -2.7557 59.0000 12.4246 3.9913 17.5000
50 0.0000 0.0000 59.0000 0.0000 0.0000 17.5000
51 12.7557 0.0000 59.0000 11.0468 6.3779 17.5000
52 0.0000 2.7557 59.0000 -1.3779 2.3865 17.5000
53 6.3779 2.7557 59.0000 4.1455 5.5754 17.5000
54 12.7557 2.7557 59.0000 9.6689 8.7644 17.5000
V./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG AIRY
LO Li ɛi
203.71122 192.56287 11.14835
198.13705 194.65452 3.482532 *CÁC THÔNG SỐ SÓNG THEO LÝ THUYẾT SÓNG AIRY
196.39578 195.30481 1.090975
195.85030 195.50817 0.342125
195.67923 195.57191 0.107326 H(m) T(s) L0 (m ) d(m) ω=2*π/T k=2*π/L
195.62557 195.59190 0.033672
14 12 195.60104 41.5 0.523599 0.032122453
195.60873 195.59817 0.010565
195.60345 195.60014 0.003315
195.60179 195.60075 0.00104
195.60127 195.60095 0.000326
195.60111 195.60101 0.000102
195.60106 195.60103 3.21E-05
195.60104 195.60103 1.01E-05

5. 195.60104 195.60104 3.16E-06
VI./TÍNH CHIỀU DÀI SÓNG THEO LÝ THUYẾT SÓNG STOCKES BẬC 5
BẢNG 3.3 BẢNG 3.5
a=k*H/2-(a^3*F33+a^5*(F35+F55) d/L0 F33 F35 F55 C1 C2
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 5.044
0.25 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 0.012207
205.03579 205.8572 0.82139 0.202404 0.9784050 3.610014043 1.688954814 1.533616 4.924969 0.209802 0.203321 0.006481
205.44648 205.7353 0.28881 0.201999 0.9813667 3.621626429 1.696537257 1.536206 4.945006 0.206561 0.203432 0.003129
205.59089 205.7029 0.11197 0.201857 0.9824053 3.625698504 1.699196166 1.537114 4.952032 0.204997 0.203540 0.001457
205.64687 205.6932 0.04637 0.201802 0.9828076 3.627275628 1.700225968 1.537466 4.954753 0.204269 0.203602 0.000667
205.67006 205.69 0.01998 0.201779 0.9829741 3.627928528 1.700652286 1.537611 4.955879 0.203935 0.203632 0.000303
205.68005 205.6888 0.00880 0.201770 0.9830458 3.628209808 1.700835951 1.537674 4.956365 0.203784 0.203646 0.000137
205.68445 205.6884 0.00392 0.201765 0.9830774 3.628333686 1.700916839 1.537702 4.956579 0.203715 0.203653 6.19E-05
205.68641 205.6882 0.00176 0.201763 0.9830915 3.628388877 1.700952877 1.537714 4.956674 0.203684 0.203656 2.79E-05
205.68729 205.6881 0.00079 0.201763 0.9830978 3.628413613 1.700969028 1.537719 4.956716 0.20367 0.203657 1.26E-05
205.68768 205.688 0.00036 0.201762 0.9831007 3.628424731 1.700976288 1.537722 4.956736 0.203664 0.203658 5.68E-06
205.68786 205.688 0.000160 0.201762 0.9831019 3.628429736 1.700979556 1.537723 4.956744 0.203661 0.203658 2.56E-06
205.68794 205.688 0.000072 0.201762 0.9831025 3.628431991 1.700981028 1.537724 4.956748 0.20366 0.203658 1.16E-06
205.68798 205.688 0.000033 0.201762 0.9831028 3.628433007 1.700981692 1.537724 4.95675 0.203659 0.203659 5.21E-07
205.68799 205.688 0.000015 0.201762 0.9831029 3.628433465 1.700981991 1.537724 4.956751 0.203659 0.203659 2.35E-07
205.68800 205.688 0.000007 0.201762 0.9831029 3.628433671 1.700982125 1.537724 4.956751 0.203659 0.203659 1.06E-07
205.68800 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

6. L(m) H (m ) T (s ) d (m ) ω k=2*π/L
205.68800 14 12 41.5 0.523598789 0.030547165
VII. /XÁC ĐỊNH VÀ VẼ PROFIL SÓNG THEO LÝ THUYẾT SÓNG STOKES BẬC 5
BẢNG 3.3
d/L F22 F24 F44
0.2 0.927 1.398 1.259
0.25 0.699 1.064 0.676
*Tiến hành nội suy ta có
L0 d/LO F22 F24 F44 F33 F35 F55
205.688 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
0.203659 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 9
0 3 6 9
x
θ ɳ θ ɳ θ ɳ θ ɳ
0 0 8.395585 -1.570796366 -1.25609081 -3.141592732 -5.604418 -4.71239 -1.25609
20 0.610943 5.760193 -0.959853069 3.016683787 -2.530649435 -4.960542 -4.10145 -4.03011

7. 40 1.221887 1.023331 -0.348909772 7.44686657 -1.919706138 -3.030855 -3.4905 -5.39073
60 1.83283 -2.63718 0.262033525 7.848687296 -1.308762841 0.411016 -2.87956 -5.48326
80 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 -1.74621
120 3.66566 -5.12803 2.094863416 -3.72928809 0.52406705 6.381746 -1.04673 2.33563
140 4.276603 -3.39296 2.705806713 -5.27301446 1.135010347 1.662357 -0.43579 6.955773
160 4.887546 -0.17244 3.31675001 -5.55005505 1.745953644 -2.211551 0.175157 8.147312
180 5.49849 4.414691 3.927693307 -4.54672156 2.356896941 -4.550457 0.786101 4.403505
200 6.109433 8.151229 4.538636604 -2.20440475 2.967840238 -5.550921 1.397044 -0.18163
220 6.720376 6.947184 5.149579901 1.672894401 3.578783535 -5.270907 2.007987 -3.39856
240 7.33132 2.32475 5.760523198 6.39138272 4.189726832 -3.72418 2.61893 -5.13054
260 7.942263 -1.75387 6.371466495 8.331906054 4.800670129 -0.725693 3.229874 -5.59057
280 8.553206 -4.30635 6.982409792 5.088359447 5.411613426 3.720308 3.840817 -4.7649
300 9.164149 -5.48455 7.593353089 0.401346447 6.022556723 7.854371 4.45176 -2.63055
SÓNG TOCKES BẬC 5
10
8
6
4
2
neta
0
-2 0 50 100 150 200 250 300 350
-4
-6
-8
t=O t= T/4" x t=T/2 t=3T/4

8. VIII./ Vẽ Profil Sóng Theo Lý Thuyết Sóng Airy thông số sóng airy
k ω H
ɳ(x,t)=H/2*cosθ với θ =kx-ωt 0.032122453 0.523599 14
t=0 t=T/4 t=T/2 t=3T/4
X 0 3 6 9
θ ɳ θ ɳ θ ɳ θ ɳ
0 0 7 -1.57079633 0.0000000 -3.141593 -7 -4.71239 -1.28641E-15
20 0.642449 5.604415465 -0.92834726 4.1941063 -2.499144 -5.60442 -4.06994 -4.194106257
40 1.284898 1.974135059 -0.28589819 6.7158611 -1.856695 -1.97414 -3.42749 -6.715861134
60 1.927347 -2.443308878 0.356550882 6.5597440 -1.214245 2.443309 -2.78504 -6.559744029
80 2.569796 -5.886511648 0.998999951 3.7880048 -0.571796 5.886512 -2.14259 -3.788004833
100 3.212245 -6.982535955 1.641449021 -0.4941575 0.070653 6.982536 -1.50014 0.494157495
120 3.854694 -5.294354779 2.28389809 -4.5792802 0.713102 5.294355 -0.85769 4.579280236
140 4.497143 -1.495110845 2.92634716 -6.8384679 1.355551 1.495111 -0.21525 6.838467925
160 5.139593 2.900291253 3.568796229 -6.3708956 1.998 -2.90029 0.427204 6.370895592
180 5.782042 6.139235745 4.211245299 -3.3630023 2.640449 -6.13924 1.069653 3.363002299
200 6.424491 6.930230963 4.853694368 0.9858493 3.282898 -6.93023 1.712102 -0.98584928
220 7.06694 4.957876707 5.496143438 4.9416049 3.925347 -4.95788 2.354551 -4.941604856
240 7.709389 1.008626435 6.138592507 6.9269526 4.567796 -1.00863 2.997 -6.926952628
260 8.351838 -3.342801967 6.781041577 6.1502581 5.210245 3.342802 3.639449 -6.150258126
280 8.994287 -6.361326732 7.423490646 2.9212193 5.852694 6.361327 4.281898 -2.921219302
300 9.636736 -6.843346009 8.065939716 -1.4726219 6.495143 6.843346 4.924347 1.472621945
SÓNG AIRY
8
6

9. 4
2
0
-2 0 50 100 150 200 250 300 350
-4
-6
-8
t=0 t=T/4 t=T/2 t=3T/4
XI./ So Sánh Sóng airy Và Sóng Stockes Bậc 5
10
8
6
4
2
NETA
0
-2 0 50 100 150 200 250 300 350
-4
-6
-8
X
sóng airy stocke bậc 5

10. nhận xét
X. TÍNH VẬN TỐC, GIA TỐC CHUYỂN ĐỘNG CỦA PHẦN TỬ NƯỚC
10.1/ Tính hệ số G(n)
BẢNG 3.4
d/L G11 G13 G15 G22 G24 G33 G35 G44 G55
0.2 1 -1.263 -2.266 0.326 0.68 -0.017 1.039 -0.044 0.006
0.25 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 G55
0.201762 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
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*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*V2
R2=4*U2-U1^2+V1^2-2*U1*U3-V1*V3 S2=4*V2-4*U1*V3-4*U3*V1
R3=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

11. 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*V2
R5=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
-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-08
5.5000 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-08
8.3690 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
-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-06
5.5000 0.23787 0.005637 -0.00146 -9.26993E-05 2.29938E-06 0.038840004 0.006284 -1E-06 7.12E-06 1.00901E-06
8.3690 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 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 )
0.030547 0.203659 41.5 0.030547165 1.53772391 4.956151 17.14066
8.369048
10.4 Tính vận tốc ,gia tốc chuyển động của phần tử nước

12. T (s ) t=0 (s ) t=T/4 (s ) t=T/2 (s ) t=3T/4 (s )
12 0 3 6 9
TỌA ĐỘ NÚT V( x ) tại các thời điểm V (z ) (m/s) tại các thời điểm
NÚT t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/4
x y z
0 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 0
2 13.6603 -3.6603 -41.5000 0.11059 0.115075542 0.118502329 0.120830271 0 0 0 0
3 22.3205 1.3397 -41.5000 0.092227 0.099437414 0.105768919 0.111149707 0 0 0 0
4 1.0000 -1.7321 -41.5000 0.122143 0.12195293 0.120622792 0.118168785 0 0 0 0
5 0.0000 0.0000 -41.5000 0.122207 0.121635673 0.119928502 0.117105667 0 0 0 0
6 17.3205 10.0000 -41.5000 0.103761 0.109465803 0.114177584 0.117841243 0 0 0 0
7 -1.0000 1.7321 -41.5000 0.122143 0.121192099 0.119110142 0.115922176 0 0 0 0
8 -5.0000 8.6603 -41.5000 0.120623 0.118168786 0.114619859 0.110017643 0 0 0 0
9 3.6603 13.6603 -41.5000 0.121357 0.122179288 0.12185934 0.120400886 0 0 0 0
10 12.3205 18.6603 -41.5000 0.112721 0.116739385 0.119679673 0.121507234 0 0 0 0
11 12.5689 -2.9397 -31.9736 0.117572 0.121923159 0.125137026 0.127174123 0.014987 0.01158 0.008035 0.004395288
12 3.7386 12.3548 -31.9736 0.127091 0.127994674 0.127686936 0.12617134 0.004603 0.000912 -0.00279 -0.006458161
13 0.0000 0.0000 -31.3819 0.128786 0.128175394 0.126351206 0.123335719 0 -0.00394 -0.00783 -0.011624361
14 16.2446 9.3788 -31.3819 0.111394 0.11710829 0.121743255 0.125242993 0.020142 0.01675 0.013161 0.009416747
15 3.8949 -6.7462 -23.5000 0.142365 0.143482146 0.143199546 0.14152093 0.009533 0.002198 -0.00516 -0.012463634
16 11.5982 -2.2988 -23.5000 0.133236 0.137837459 0.141112677 0.143019141 0.027623 0.020763 0.013651 0.006371295
17 19.3014 2.1487 -23.5000 0.115803 0.123500694 0.130055464 0.135384339 0.043527 0.037674 0.031373 0.024694093
18 0.0000 0.0000 -23.5000 0.143545 0.142844259 0.140752625 0.137296931 0 -0.00735 -0.01462 -0.02169869
19 15.4065 8.8949 -23.5000 0.12558 0.131776836 0.136726034 0.140363475 0.035838 0.029417 0.02264 0.015587502
20 -3.8949 6.7462 -23.5000 0.142365 0.139862814 0.136008124 0.130850967 -0.009533 -0.01675 -0.02376 -0.030488481
21 3.8083 11.1937 -23.5000 0.142417 0.143493637 0.143170586 0.141451899 0.009322 0.001985 -0.00538 -0.012672542
22 11.5115 15.6412 -23.5000 0.133387 0.137950883 0.141187087 0.143053567 0.027429 0.020561 0.013443 0.006159471
23 2.9127 -5.0449 -7.5000 0.204734 0.205771164 0.204605763 0.201255622 0.016155 -0.00049 -0.01712 -0.033524546
24 9.7652 -1.0885 -7.5000 0.194246 0.200200653 0.204038503 0.205700354 0.053003 0.037177 0.020855 0.004252766
25 16.6178 2.8678 -7.5000 0.173244 0.183643811 0.192179154 0.198720302 0.086206 0.072267 0.057381 0.041734223
26 0.0000 0.0000 -7.5000 0.205772 0.204670737 0.201383633 0.195961385 0 -0.01664 -0.03305 -0.049024869
27 13.7051 7.9127 -7.5000 0.183367 0.191958286 0.198559054 0.20306805 0.072687 0.057826 0.042199 0.026008896

13. 28 -2.9127 5.0449 -7.5000 0.204734 0.201509831 0.196148724 0.188732773 -0.016155 -0.03258 -0.04857 -0.063910692
29 3.9399 9.0012 -7.5000 0.203874 0.205663866 0.205252393 0.202646211 0.021815 0.005223 -0.01144 -0.027946914
30 10.7925 12.9575 -7.5000 0.191736 0.198396031 0.202967063 0.205378594 0.05827 0.042663 0.026486 0.009955201
31 2.1146 -3.6625 5.5000 0.301459 0.302189231 0.299358193 0.29301392 0.020328 -0.00852 -0.03724 -0.065423003
32 8.2759 -0.1052 5.5000 0.28891 0.296849221 0.301318346 0.302240729 0.078184 0.050399 0.021876 -0.006968185
33 14.4373 3.4520 5.5000 0.26236 0.276938183 0.288386639 0.296509471 0.131252 0.106221 0.079649 0.051915867
34 0.0000 0.0000 5.5000 0.302345 0.300562537 0.295246572 0.286487669 0 -0.02881 -0.05719 -0.084733365
35 12.3228 7.1146 5.5000 0.272951 0.285345859 0.294467296 0.300159121 0.113786 0.08763 0.060199 0.031886607
36 -2.1146 3.6625 5.5000 0.301459 0.297178914 0.289423207 0.278324149 -0.020328 -0.04888 -0.07671 -0.103429731
37 4.0468 7.2198 5.5000 0.299106 0.30212741 0.301588652 0.297498532 0.038778 0.010073 -0.01878 -0.047357938
38 10.2082 10.7771 5.5000 0.28202 0.292125973 0.298842835 0.302055271 0.0955 0.068405 0.04031 0.011624815
39 1.9384 -3.3575 8.3690 0.33082 0.331405208 0.327995515 0.320650389 0.020973 -0.01149 -0.04379 -0.075430294
40 4.5795 -1.8326 8.3690 0.327006 0.331101045 0.331207124 0.327322159 0.049312 0.017096 -0.01538 -0.047618592
41 13.9561 3.5810 8.3690 0.289663 0.305461472 0.317715616 0.326212632 0.143154 0.114761 0.084668 0.053314343
42 1.2796 -2.2163 8.3690 0.331292 0.330997696 0.326716264 0.318521563 0.013853 -0.01862 -0.05081 -0.082244534
43 13.2973 4.7221 8.3690 0.293423 0.308464779 0.319909817 0.327559632 0.137085 0.108283 0.077875 0.04630537
44 -1.9384 3.3575 8.3690 0.33082 0.3262513 0.31777696 0.305544427 -0.020973 -0.05313 -0.08449 -0.11458841
45 0.7027 4.8823 8.3690 0.331546 0.330482708 0.325440869 0.316507867 0.00761 -0.02485 -0.05693 -0.088162859
46 10.0793 10.2959 8.3690 0.30942 0.32059558 0.327963619 0.331396779 0.106123 0.075614 0.043979 0.011685782
TỌA ĐỘ NÚT W( x ) (m/s2) tại các thời điểm W (z ) (m/s2) tại các thời điểm
NÚT t=0 t=T/4 t=T/2 t=3T/4 t=0 t=T/4 t=T/2 t=3T/4
x y z
0 3 6 9 0 3 6 9
1 5.0000 -8.6603 -41.5000 0.434263 0.174731542 -0.08743923 -0.348289245 -2.056114 -2.09368 -2.09908 -2.072164051
2 13.6603 -3.6603 -41.5000 1.133273 0.90297995 0.65903524 0.405128327 -1.780054 -1.90189 -1.9967 -2.061958398
3 22.3205 1.3397 -41.5000 1.691106 1.518586863 1.32326588 1.107989937 -1.307416 -1.48803 -1.65191 -1.795115696
4 1.0000 -1.7321 -41.5000 0.087439 -0.174731545 -0.43426289 -0.687232191 -2.099078 -2.09368 -2.05611 -1.98740527
5 0.0000 0.0000 -41.5000 0 -0.261730289 -0.51950663 -0.769431704 -2.10088 -2.0847 -2.0366 -1.957878624
6 17.3205 10.0000 -41.5000 1.390739 1.181774101 0.954960574 0.713710301 -1.599393 -1.74991 -1.8773 -1.978292849
7 -1.0000 1.7321 -41.5000 -0.08744 -0.348289243 -0.60387706 -0.850337239 -2.099078 -2.07216 -2.01367 -1.925178289
8 -5.0000 8.6603 -41.5000 -0.43426 -0.687232188 -0.92981265 -1.158336086 -2.056114 -1.98741 -1.8894 -1.76468578
9 3.6603 13.6603 -41.5000 0.31894 0.05774122 -0.20432928 -0.463313182 -2.076819 -2.10009 -2.09103 -2.049869072
10 12.3205 18.6603 -41.5000 1.032343 0.795510052 0.546649964 0.289528008 -1.837619 -1.94774 -2.02962 -2.081066416
11 12.5689 -2.9397 -31.9736 0.746982 0.578007265 0.401498287 0.219750999 -1.25914 -1.32802 -1.3795 -1.412395615

14. 12 3.7386 12.3548 -31.9736 0.23013 0.045612995 -0.13949969 -0.322791511 -1.411046 -1.4257 -1.42071 -1.396176358
13 0.0000 0.0000 -31.3819 0 -0.181202034 -0.36006331 -0.534274705 -1.390173 -1.38064 -1.35227 -1.305712699
14 16.2446 9.3788 -31.3819 0.922397 0.768470893 0.604651242 0.433032596 -1.125496 -1.2109 -1.2813 -1.335111583
15 3.8949 -6.7462 -23.5000 0.183576 0.042305301 -0.09943594 -0.240070004 -0.948717 -1.38932 -0.95606 -0.941303942
16 11.5982 -2.2988 -23.5000 0.533254 0.400344022 0.26297177 0.122670174 -0.869175 -1.31297 -0.93772 -0.95446991
17 19.3014 2.1487 -23.5000 0.843947 0.729115402 0.606160344 0.476447225 -0.721186 -1.12375 -0.84179 -0.887767355
18 0.0000 0.0000 -23.5000 0 -0.141575933 -0.28157535 -0.418437983 -0.959096 -1.38064 -0.93457 -0.904385621
19 15.4065 8.8949 -23.5000 0.693227 0.568108553 0.436656483 0.300337275 -0.803542 -1.23215 -0.89942 -0.931158036
20 -3.8949 6.7462 -23.5000 -0.18358 -0.322801329 -0.45843055 -0.588949585 -0.948717 -1.34025 -0.89318 -0.848622601
21 3.8083 11.1937 -23.5000 0.179517 0.038211487 -0.1035199 -0.24409862 -0.949172 -1.38948 -0.9558 -0.940698207
22 11.5115 15.6412 -23.5000 0.529493 0.396432249 0.258953724 0.118590653 -0.870479 -1.31449 -0.93838 -0.954772883
23 2.9127 -5.0449 -7.5000 0.0993 -0.002981539 -0.10523768 -0.206613282 -0.276205 -0.27777 -0.27601 -0.270961302
24 9.7652 -1.0885 -7.5000 0.32844 0.229310387 0.128252245 0.026120249 -0.260421 -0.26937 -0.27516 -0.27766358
25 16.6178 2.8678 -7.5000 0.543075 0.451542251 0.356140425 0.257715136 -0.229064 -0.24455 -0.25732 -0.26714486
26 0.0000 0.0000 -7.5000 0 -0.102268962 -0.20368229 -0.30338471 -0.277772 -0.27611 -0.27115 -0.262997301
27 13.7051 7.9127 -7.5000 0.454266 0.358964739 0.260615455 0.160069715 -0.244136 -0.25699 -0.2669 -0.273692512
28 -2.9127 5.0449 -7.5000 -0.0993 -0.200749842 -0.30051415 -0.397738658 -0.276205 -0.27134 -0.26328 -0.252157435
29 3.9399 9.0012 -7.5000 0.134174 0.032081316 -0.07027969 -0.172053123 -0.274908 -0.27761 -0.27699 -0.273056608
30 10.7925 12.9575 -7.5000 0.361786 0.263513912 0.163020048 0.061159441 -0.256656 -0.26666 -0.27354 -0.277177898
31 2.1146 -3.6625 5.5000 0.070799 -0.029662537 -0.12988134 -0.229035246 0.201924 0.202419 0.200503 0.196212332
32 8.2759 -0.1052 5.5000 0.274403 0.17602179 0.076194308 -0.024256884 0.193439 0.198806 0.201829 0.202453642
33 14.4373 3.4520 5.5000 0.468439 0.375605871 0.279638719 0.181358527 0.175528 0.185356 0.193085 0.198575937
34 0.0000 0.0000 5.5000 0 -0.100375931 -0.19992969 -0.297838727 0.202524 0.201318 0.197722 0.191802294
35 12.3228 7.1146 5.5000 0.403368 0.308240625 0.210557574 0.111141277 0.182666 0.191031 0.197195 0.201044905
36 -2.1146 3.6625 5.5000 -0.0708 -0.170680867 -0.26916092 -0.365416404 0.201924 0.199029 0.193785 0.186290941
37 4.0468 7.2198 5.5000 0.13525 0.035067489 -0.06540182 -0.165335887 0.200332 0.202377 0.202012 0.199244913
38 10.2082 10.7771 5.5000 0.33662 0.239605636 0.140615322 0.04047161 0.188785 0.195612 0.200154 0.202328116
39 1.9384 -3.3575 8.3690 0.066788 -0.03659139 -0.13966163 -0.241549336 0.309866 0.31041 0.307237 0.300406553
40 4.5795 -1.8326 8.3690 0.157361 0.054432947 -0.04895546 -0.151930219 0.306317 0.310127 0.310226 0.306610953
41 13.9561 3.5810 8.3690 0.466495 0.370624311 0.271572445 0.170206266 0.271647 0.286298 0.297679 0.305578824
42 1.2796 -2.2163 8.3690 0.044102 -0.059284087 -0.16216945 -0.263680569 0.310305 0.310031 0.306047 0.298427829
43 13.2973 4.7221 8.3690 0.445756 0.349113558 0.249478912 0.147721103 0.275132 0.289086 0.299718 0.306831878
44 -1.9384 3.3575 8.3690 -0.06679 -0.16960291 -0.27098016 -0.370048237 0.309866 0.305615 0.297736 0.286375374
45 0.7027 4.8823 8.3690 0.024223 -0.079134972 -0.18182386 -0.282970697 0.310541 0.309552 0.304861 0.29655654
46 10.0793 10.2959 8.3690 0.341964 0.242145387 0.140267253 0.037201427 0.289973 0.300356 0.307208 0.310402482