Bài tập lớn môi trường biển xây dựng

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

14
12
37
3
1.5

Hướng sóng α (độ )

30

0.5236

1.2./CÁC THÔNG SỐ CỦA CÔNG TRÌNH

H1(m)
18

H2 (m )
16

H3 (m )
13

H4 (m )
12

A(m)
20

B(m)
20


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
y=x'sinα +y'cosα
z=z'
IV /TÍNH TỌA ĐỘ NÚT

(xoay )

x'=X
y'=Y
z'=Z

(tịnh tiến xuống)

x=Xcosα-Ysinα
y=Xsinα +Ycosα
z=Z -d


NÚT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21

22
23
24
25
26
27
28
29
30
31
32
33
34
35
36

X(m )
0.0000
10.0000
20.0000
0.0000
0.0000
20.0000
0.0000
0.0000
10.0000
20.0000
9.4152
9.4152
0.0000

18.7577
0.0000
8.8949
17.7899
0.0000
17.7899
0.0000
8.8949
17.7899
0.0000
7.9127
15.8253
0.0000
15.8253
0.0000
7.9127
15.8253
0.0000
7.1146
14.2291
0.0000
14.2291
0.0000

Y (m )
-10.0000
-10.0000
-10.0000
-2.0000
0.0000

0.0000
2.0000
10.0000
10.0000
10.0000
-8.8303
8.8303
0.0000
0.0000
-7.7899
-7.7899
-7.7899
0.0000
0.0000
7.7899
7.7899
7.7899
-5.8253
-5.8253
-5.8253
0.0000
0.0000
5.8253
5.8253
5.8253
-4.2291
-4.2291
-4.2291
0.0000
0.0000

4.2291

Z(m)
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
0.0000
9.5264
9.5264
10.1181
10.1181
18.0000
18.0000
18.0000
18.0000
18.0000
18.0000
18.0000
18.0000
34.0000
34.0000
34.0000
34.0000
34.0000

34.0000
34.0000
34.0000
47.0000
47.0000
47.0000
47.0000
47.0000
47.0000

x(m)
5.0000
13.6603
22.3205
1.0000
0.0000
17.3205
-1.0000
-5.0000
3.6603
12.3205
12.5689
3.7386
0.0000
16.2446
3.8949
11.5982
19.3014
0.0000
15.4065

-3.8949
3.8083
11.5115
2.9127
9.7652
16.6178
0.0000
13.7051
-2.9127
3.9399
10.7925
2.1146
8.2759
14.4373
0.0000
12.3228
-2.1146

y(m)
-8.6603
-3.6603
1.3397
-1.7321
0.0000
10.0000
1.7321
8.6603
13.6603
18.6603
-2.9397

12.3548
0.0000
9.3788
-6.7462
-2.2988
2.1487
0.0000
8.8949
6.7462
11.1937
15.6412
-5.0449
-1.0885
2.8678
0.0000
7.9127
5.0449
9.0012
12.9575
-3.6625
-0.1052
3.4520
0.0000
7.1146
3.6625

z (m )
-41.5000
-41.5000
-41.5000

-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-31.9736
-31.9736
-31.3819
-31.3819
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
5.5000
5.5000
5.5000

5.5000
5.5000
5.5000


37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54

7.1146
14.2291
0.0000
3.0497
13.8769
0.0000

13.8769
0.0000
3.0497
13.8769
0.0000
6.3779
12.7557
0.0000
12.7557
0.0000
6.3779
12.7557

4.2291
4.2291
-3.8769
-3.8769
-3.8769
-2.5592
-2.5592
3.8769
3.8769
3.8769
-2.7557
-2.7557
-2.7557
0.0000
0.0000
2.7557
2.7557

2.7557

47.0000
47.0000
49.8690
49.8690
49.8690
49.8690
49.8690
49.8690
49.8690
49.8690
59.0000
59.0000
59.0000
59.0000
59.0000
59.0000
59.0000
59.0000

4.0468
10.2082
1.9384
4.5795
13.9561
1.2796
13.2973
-1.9384
0.7027

10.0793
1.3779
6.9012
12.4246
0.0000
11.0468
-1.3779
4.1455
9.6689

7.2198
10.7771
-3.3575
-1.8326
3.5810
-2.2163
4.7221
3.3575
4.8823
10.2959
-2.3865
0.8024
3.9913
0.0000
6.3779
2.3865
5.5754
8.7644

5.5000

5.5000
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
17.5000
17.5000
17.5000
17.5000
17.5000
17.5000
17.5000
17.5000

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

LO
203.71122
198.13705
196.39578
195.85030
195.67923
195.62557
195.60873
195.60345
195.60179

195.60127
195.60111
195.60106
195.60104

Li
192.56287
194.65452
195.30481
195.50817
195.57191
195.59190
195.59817
195.60014
195.60075
195.60095
195.60101
195.60103
195.60103

ɛi
11.14835
3.482532
1.090975
0.342125
0.107326
0.033672
0.010565
0.003315
0.00104

0.000326
0.000102
3.21E-05
1.01E-05

*CÁC THÔNG SỐ SÓNG THEO LÝ THUYẾT SÓNG AIRY

H(m)

T(s)

L0 (m )

d(m)

ω=2*π/T

k=2*π/L

14

12

195.60104

41.5

0.523599

0.032122453

195.60104 195.60104 3.16E-06

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

a=k*H/2-(a^3*F33+a^5*(F35+F55)
L=g*T^2/2π*(1=a^2*C1+a^4*C2)th(2π*d/L)

L0
203.71122
205.03579
205.44648
205.59089
205.64687
205.67006
205.68005
205.68445
205.68641
205.68729
205.68768
205.68786
205.68794
205.68798
205.68799
205.68800
205.68800

Li
206.3603

205.8572
205.7353
205.7029
205.6932
205.69
205.6888
205.6884
205.6882
205.6881
205.688
205.688
205.688
205.688
205.688
205.688
205.688

ɛi
2.64912
0.82139
0.28881
0.11197
0.04637
0.01998
0.00880
0.00392
0.00176
0.00079
0.00036
0.000160

0.000072
0.000033
0.000015
0.000007
0.000003

d/L0
0.2
0.25

d/L0
F33
F35
F55
0.203720
0.9687714 3.572243102 1.664291837
0.202404
0.9784050 3.610014043 1.688954814
0.201999
0.9813667 3.621626429 1.696537257
0.201857
0.9824053 3.625698504 1.699196166
0.201802
0.9828076 3.627275628 1.700225968
0.201779
0.9829741 3.627928528 1.700652286
0.201770
0.9830458 3.628209808 1.700835951
0.201765
0.9830774 3.628333686 1.700916839

0.201763
0.9830915 3.628388877 1.700952877
0.201763
0.9830978 3.628413613 1.700969028
0.201762
0.9831007 3.628424731 1.700976288
0.201762
0.9831019 3.628429736 1.700979556
0.201762
0.9831025 3.628431991 1.700981028
0.201762
0.9831028 3.628433007 1.700981692
0.201762
0.9831029 3.628433465 1.700981991
0.201762
0.9831029 3.628433671 1.700982125
0.201762
0.9831030 3.628433764 1.700982186

*CÁC THÔNG SỐ SÓNG THEO LTS STOCKES BẬC 5

F33
0.996
0.630

BẢNG 3.3
F35
3.679
2.244

C1
1.525194
1.533616
1.536206
1.537114
1.537466
1.537611
1.537674
1.537702
1.537714
1.537719
1.537722
1.537723
1.537724
1.537724
1.537724
1.537724
1.537724

C2
4.859798
4.924969
4.945006
4.952032
4.954753
4.955879
4.956365
4.956579
4.956674
4.956716

4.956736
4.956744
4.956748
4.95675
4.956751
4.956751
4.956751

BẢNG 3.5
F55
C1
1.734
1.549
0.797
1.229

a0
ai
0.215905
0.209802
0.206561
0.204997
0.204269
0.203935
0.203784
0.203715
0.203684
0.20367
0.203664
0.203661

0.20366
0.203659
0.203659
0.203659
0.203659

0.203698
0.203321
0.203432
0.203540
0.203602
0.203632
0.203646
0.203653
0.203656
0.203657
0.203658
0.203658
0.203658
0.203659
0.203659
0.203659
0.203659

C2
5.044
2.568

ɛi
0.012207

0.006481
0.003129
0.001457
0.000667
0.000303
0.000137
6.19E-05
2.79E-05
1.26E-05
5.68E-06
2.56E-06
1.16E-06
5.21E-07
2.35E-07
1.06E-07
4.77E-08


L(m)

H (m )

T (s )

d (m )

205.68800

14

12

41.5

ω

k=2*π/L

0.523598789 0.030547165

VII. /XÁC ĐỊNH VÀ VẼ PROFIL SÓNG THEO LÝ THUYẾT SÓNG STOKES BẬC 5
BẢNG 3.3
F22
F24
0.927
1.398
0.699
1.064

d/L
0.2
0.25

F44
1.259
0.676

*Tiến hành nội suy ta có

L0

d/LO
F22
F24
F44
F33
205.688 0.201762 0.918966 1.386231 1.238456342 0.983102952

F35
F55
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 )
12

x
0
20

t=0 (s )
0

t=T/4 (s )
3

0

t=T/2 ( s )
6

t=3T/4 ( s )
9

3

6

9

θ
ɳ
θ
ɳ
θ
ɳ
θ
ɳ
0
8.395585 -1.570796366 -1.25609081 -3.141592732 -5.604418 -4.71239 -1.25609
0.610943 5.760193 -0.959853069 3.016683787 -2.530649435 -4.960542 -4.10145 -4.03011

40
60
80
100
120
140
160
180
200
220
240
260
280
300

1.221887
1.83283
2.443773
3.054716
3.66566
4.276603
4.887546
5.49849
6.109433
6.720376
7.33132
7.942263
8.553206
9.164149

1.023331
-2.63718
-4.76821
-5.59101
-5.12803
-3.39296
-0.17244
4.414691
8.151229
6.947184
2.32475
-1.75387
-4.30635
-5.48455

-0.348909772
0.262033525
0.872976822
1.483920119
2.094863416
2.705806713
3.31675001
3.927693307
4.538636604
5.149579901
5.760523198
6.371466495
6.982409792
7.593353089

7.44686657
7.848687296
3.709065508
-0.73438637
-3.72928809
-5.27301446
-5.55005505
-4.54672156
-2.20440475
1.672894401
6.39138272
8.331906054
5.088359447
0.401346447

-1.919706138
-1.308762841
-0.697819544
-0.086876247
0.52406705
1.135010347
1.745953644
2.356896941
2.967840238
3.578783535
4.189726832
4.800670129
5.411613426
6.022556723

-3.030855
0.411016
5.099282
8.33391
6.381746
1.662357
-2.211551
-4.550457
-5.550921
-5.270907
-3.72418
-0.725693
3.720308
7.854371

-3.4905
-2.87956
-2.26862
-1.65767
-1.04673
-0.43579
0.175157
0.786101
1.397044
2.007987
2.61893
3.229874
3.840817
4.45176

-5.39073
-5.48326
-4.30217
-1.74621
2.33563
6.955773
8.147312
4.403505
-0.18163
-3.39856
-5.13054
-5.59057
-4.7649
-2.63055

SÓNG TOCKES BẬC 5
10
8
6

neta

4
2
0
-2 0

50

100

150

200

250

-4
-6
-8
t=O

t= T/4" x

t=T/2

t=3T/4

300

350


VIII./ Vẽ Profil Sóng Theo Lý Thuyết Sóng Airy
ɳ(x,t)=H/2*cosθ

với θ =kx-ωt

t=0

0

X
0
20
40
60
80
100
120
140
160
180
200
220
240
260
280
300

thông số sóng airy
k
ω
0.032122453 0.523599

t=T/4
3

θ

ɳ

0
0.642449
1.284898
1.927347
2.569796
3.212245
3.854694
4.497143
5.139593
5.782042
6.424491
7.06694
7.709389
8.351838
8.994287
9.636736

7
5.604415465
1.974135059
-2.443308878
-5.886511648
-6.982535955
-5.294354779
-1.495110845
2.900291253
6.139235745
6.930230963

4.957876707
1.008626435
-3.342801967
-6.361326732
-6.843346009

θ
-1.57079633
-0.92834726
-0.28589819
0.356550882
0.998999951
1.641449021
2.28389809
2.92634716
3.568796229
4.211245299
4.853694368
5.496143438
6.138592507
6.781041577
7.423490646
8.065939716

t=T/2
6
ɳ
0.0000000
4.1941063
6.7158611

6.5597440
3.7880048
-0.4941575
-4.5792802
-6.8384679
-6.3708956
-3.3630023
0.9858493
4.9416049
6.9269526
6.1502581
2.9212193
-1.4726219

SÓNG AIRY
8
6

H
14

θ
-3.141593
-2.499144
-1.856695
-1.214245
-0.571796
0.070653
0.713102
1.355551

1.998
2.640449
3.282898
3.925347
4.567796
5.210245
5.852694
6.495143

t=3T/4
9
ɳ

-7
-5.60442
-1.97414
2.443309
5.886512
6.982536
5.294355
1.495111
-2.90029
-6.13924
-6.93023
-4.95788
-1.00863
3.342802
6.361327
6.843346

θ
-4.71239
-4.06994
-3.42749
-2.78504
-2.14259
-1.50014
-0.85769
-0.21525
0.427204
1.069653
1.712102
2.354551
2.997
3.639449
4.281898
4.924347

ɳ
-1.28641E-15
-4.194106257
-6.715861134
-6.559744029
-3.788004833
0.494157495
4.579280236
6.838467925
6.370895592
3.363002299
-0.98584928

-4.941604856
-6.926952628
-6.150258126
-2.921219302
1.472621945


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

NETA

4
2
0
-2 0

50

100

150

200

250

300

350

-4
-6
-8
X
sóng 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)

d/L
0.2
0.25

G11
1
1

G13
-1.263
-0.911

G15
-2.266
-1.415

BẢNG 3.4
G22
G24
0.326
0.68
0.154
0.673

G33
-0.017
-0.03

G35
1.039
0.44

G44
-0.044
-0.005

G55
0.006
0.005

nội suy ta có bảng sau :
d/L

G11
0.201762
1

G13
G15
G22
G24
G33
G35
G44
G55
-1.2506 -2.236012637 0.319939099 0.679753335 -0.017458 1.017893 -0.04263 0.005964762

a
G1
G2
G3
G4
0.203659 0.192311 0.028879 0.000627473 -0.00029332

10.2./ Tính hệ số Un, Vn,Rn và Sn (n=1 ~5 )
Un=Gn*cosh(nkz)/sinh(nkd)
Vn=Gn*sinh(nkz)/sinh(nkd)
R1=2*U1-U1*U2-U2*U3-V1*V2-V2*V3
R2=4*U2-U1^2+V1^2-2*U1*U3-V1*V3
R3=6*U3-3*U1*U2+3*V1*V2-3*U1*U4-3*V1*V4

G5
1.04491E-05

Trong đó:
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
G5=5*a^5*G55

S1=2*V1-3*U1*V2-3*U2*V1-5*U2*V3-5*U3*V2
S2=4*V2-4*U1*V3-4*U3*V1
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
R5=10*U5-5*U1*U4-5*U2*U3+5*V1*V4+58V2*V3

S4=8*V4-2*U1*V3+2*U3*V1+4*U2*V2
S5=10*V5-3*U1*V4+3*U4*V1-U2*V3+U3*V2

z(m)
-41.5000
-31.9736
-31.3819
-23.5000
-7.5000
5.5000
8.3690

U1
0.225407

0.178262
0.175869
0.149196
0.120677
0.119241
0.121441

U2
0.029244
0.016565
0.016001
0.010224
0.005097
0.004867
0.00522

U3
0.000628
0.000263
0.000249
0.000122
3.49E-05
3.16E-05
3.66E-05

U4
-0.000293344
-9.16239E-05
-8.52388E-05
-3.2626E-05

-5.34028E-06
-4.54599E-06
-5.78183E-06

U5
1.04491E-05
2.43891E-06
2.22818E-06
6.69002E-07
6.3919E-08
5.07376E-08
7.14283E-08

V1
-0.192311272
-0.133987652
-0.130787329
-0.091842379
-0.027173747
0.019847214
0.030387125

V2
-0.028879
-0.015912
-0.015324
-0.009129
-0.002185
0.001577
0.002458

V3
-0.00063
-0.00026
-0.00025
-0.00012
-2.1E-05
1.47E-05
2.36E-05

V4
0.000293
9.15E-05
8.52E-05
3.24E-05
3.87E-06
-2.7E-06
-4.5E-06

V5
-1.04491E-05
-2.43863E-06
-2.22788E-06
-6.67983E-07
-5.21748E-08
3.47976E-08
6.11438E-08

z (m )
-41.5000

-31.9736
-31.3819
-23.5000
-7.5000
5.5000
8.3690

R1
0.438631
0.35143
0.346912
0.296026
0.240679
0.23787
0.242173

R2
0.102747
0.052308
0.050058
0.027026
0.006554
0.005637
0.007046

R3
0.001022
-0.0008
-0.00086
-0.0013

-0.00146
-0.00146
-0.00146

R4
-0.002472792
-0.000822775
-0.000770079
-0.000332659
-9.97099E-05
-9.26993E-05
-0.000103595

R5
0.000151819
4.3744E-05
4.0583E-05
1.53238E-05
2.67426E-06
2.29938E-06
2.88191E-06

S1
-0.348039893
-0.252764485
-0.247172809
-0.176770056
-0.053140162
0.038840004
0.059401631

S2
-0.115516
-0.06365
-0.061296
-0.036517
-0.008745
0.006284
0.009805

S3
-0.00349
-0.00109
-0.00101
-0.00033
-2.7E-06
-1E-06
5.51E-06

S4
-0.00099
-0.0003
-0.00028
-0.0001
-1E-05
7.12E-06
1.22E-05

S5
-0.000133389

-3.63694E-05
-3.36214E-05
-1.20995E-05
-1.45672E-06
1.00901E-06
1.67494E-06

d (m )

k

C1

C2

C (m )

41.5

0.030547165

1.53772391

4.956151

17.14066

10.3./ Tính vận tốc truyền sóng
C=sqrt(g/k*(1+a^2*C1+a^4*C2)tanh(k*d))
ω( rad )

a

0.030547 0.203659

8.369048

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


T (s )
12

TỌA ĐỘ NÚT
NÚT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15

16
17
18
19
20
21
22
23
24
25
26
27

x

y

z

5.0000
13.6603
22.3205
1.0000
0.0000
17.3205
-1.0000
-5.0000
3.6603
12.3205
12.5689

3.7386
0.0000
16.2446
3.8949
11.5982
19.3014
0.0000
15.4065
-3.8949
3.8083
11.5115
2.9127
9.7652
16.6178
0.0000
13.7051

-8.6603
-3.6603
1.3397
-1.7321
0.0000
10.0000
1.7321
8.6603
13.6603
18.6603
-2.9397
12.3548
0.0000

9.3788
-6.7462
-2.2988
2.1487
0.0000
8.8949
6.7462
11.1937
15.6412
-5.0449
-1.0885
2.8678
0.0000
7.9127

-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-31.9736
-31.9736
-31.3819
-31.3819
-23.5000

-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000

t=0
0
0.120623
0.11059
0.092227
0.122143
0.122207
0.103761
0.122143
0.120623
0.121357
0.112721
0.117572
0.127091
0.128786
0.111394
0.142365

0.133236
0.115803
0.143545
0.12558
0.142365
0.142417
0.133387
0.204734
0.194246
0.173244
0.205772
0.183367

t=0 (s )
0

t=T/4 (s )
3

V( x ) tại các thời điểm
t=T/4
t=T/2
3
6
0.12195293 0.122143452
0.115075542 0.118502329
0.099437414 0.105768919
0.12195293 0.120622792
0.121635673 0.119928502
0.109465803 0.114177584

0.121192099 0.119110142
0.118168786 0.114619859
0.122179288 0.12185934
0.116739385 0.119679673
0.121923159 0.125137026
0.127994674 0.127686936
0.128175394 0.126351206
0.11710829 0.121743255
0.143482146 0.143199546
0.137837459 0.141112677
0.123500694 0.130055464
0.142844259 0.140752625
0.131776836 0.136726034
0.139862814 0.136008124
0.143493637 0.143170586
0.137950883 0.141187087
0.205771164 0.204605763
0.200200653 0.204038503
0.183643811 0.192179154
0.204670737 0.201383633
0.191958286 0.198559054

t=T/2 (s )
6

t=3T/4
9
0.121192099
0.120830271
0.111149707

0.118168785
0.117105667
0.117841243
0.115922176
0.110017643
0.120400886
0.121507234
0.127174123
0.12617134
0.123335719
0.125242993
0.14152093
0.143019141
0.135384339
0.137296931
0.140363475
0.130850967
0.141451899
0.143053567
0.201255622
0.205700354
0.198720302
0.195961385
0.20306805

t=3T/4 (s )
9

V (z ) (m/s) tại các thời điểm
t=0

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

0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0.014987 0.01158 0.008035 0.004395288
0.004603 0.000912 -0.00279 -0.006458161
0 -0.00394 -0.00783 -0.011624361
0.020142 0.01675 0.013161 0.009416747
0.009533 0.002198 -0.00516 -0.012463634
0.027623 0.020763 0.013651 0.006371295
0.043527 0.037674 0.031373 0.024694093
0 -0.00735 -0.01462 -0.02169869
0.035838 0.029417 0.02264 0.015587502
-0.009533 -0.01675 -0.02376 -0.030488481
0.009322 0.001985 -0.00538 -0.012672542
0.027429 0.020561 0.013443 0.006159471
0.016155 -0.00049 -0.01712 -0.033524546

0.053003 0.037177 0.020855 0.004252766
0.086206 0.072267 0.057381 0.041734223
0 -0.01664 -0.03305 -0.049024869
0.072687 0.057826 0.042199 0.026008896


28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46

NÚT
1
2
3

4
5
6
7
8
9
10
11

-2.9127
3.9399
10.7925
2.1146
8.2759
14.4373
0.0000
12.3228
-2.1146
4.0468
10.2082
1.9384
4.5795
13.9561
1.2796
13.2973
-1.9384
0.7027
10.0793

5.0449

9.0012
12.9575
-3.6625
-0.1052
3.4520
0.0000
7.1146
3.6625
7.2198
10.7771
-3.3575
-1.8326
3.5810
-2.2163
4.7221
3.3575
4.8823
10.2959

-7.5000
-7.5000
-7.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000

8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690

0.204734
0.203874
0.191736
0.301459
0.28891
0.26236
0.302345
0.272951
0.301459
0.299106
0.28202
0.33082
0.327006
0.289663
0.331292
0.293423
0.33082
0.331546
0.30942

TỌA ĐỘ NÚT

x
5.0000
13.6603
22.3205
1.0000
0.0000
17.3205
-1.0000
-5.0000
3.6603
12.3205
12.5689

y
-8.6603
-3.6603
1.3397
-1.7321
0.0000
10.0000
1.7321
8.6603
13.6603
18.6603
-2.9397

z
-41.5000
-41.5000
-41.5000

-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-41.5000
-31.9736

t=0
0
0.434263
1.133273
1.691106
0.087439
0
1.390739
-0.08744
-0.43426
0.31894
1.032343
0.746982

0.201509831
0.205663866
0.198396031
0.302189231
0.296849221
0.276938183
0.300562537

0.285345859
0.297178914
0.30212741
0.292125973
0.331405208
0.331101045
0.305461472
0.330997696
0.308464779
0.3262513
0.330482708
0.32059558

0.196148724
0.205252393
0.202967063
0.299358193
0.301318346
0.288386639
0.295246572
0.294467296
0.289423207
0.301588652
0.298842835
0.327995515
0.331207124
0.317715616
0.326716264
0.319909817
0.31777696

0.325440869
0.327963619

0.188732773
0.202646211
0.205378594
0.29301392
0.302240729
0.296509471
0.286487669
0.300159121
0.278324149
0.297498532
0.302055271
0.320650389
0.327322159
0.326212632
0.318521563
0.327559632
0.305544427
0.316507867
0.331396779

W( x ) (m/s2) tại các thời điểm
t=T/4
t=T/2
t=3T/4
3
6
9

0.174731542 -0.08743923 -0.348289245
0.90297995 0.65903524 0.405128327
1.518586863 1.32326588 1.107989937
-0.174731545 -0.43426289 -0.687232191
-0.261730289 -0.51950663 -0.769431704
1.181774101 0.954960574 0.713710301
-0.348289243 -0.60387706 -0.850337239
-0.687232188 -0.92981265 -1.158336086
0.05774122 -0.20432928 -0.463313182
0.795510052 0.546649964 0.289528008
0.578007265 0.401498287 0.219750999

-0.016155
0.021815
0.05827
0.020328
0.078184
0.131252
0
0.113786
-0.020328
0.038778
0.0955
0.020973
0.049312
0.143154
0.013853
0.137085
-0.020973
0.00761

0.106123

-0.03258
0.005223
0.042663
-0.00852
0.050399
0.106221
-0.02881
0.08763
-0.04888
0.010073
0.068405
-0.01149
0.017096
0.114761
-0.01862
0.108283
-0.05313
-0.02485
0.075614

-0.04857
-0.01144
0.026486
-0.03724
0.021876
0.079649
-0.05719
0.060199

-0.07671
-0.01878
0.04031
-0.04379
-0.01538
0.084668
-0.05081
0.077875
-0.08449
-0.05693
0.043979

-0.063910692
-0.027946914
0.009955201
-0.065423003
-0.006968185
0.051915867
-0.084733365
0.031886607
-0.103429731
-0.047357938
0.011624815
-0.075430294
-0.047618592
0.053314343
-0.082244534
0.04630537
-0.11458841
-0.088162859

0.011685782

W (z ) (m/s2) tại các thời điểm
t=0
t=T/4
t=T/2
t=3T/4
0
3
6
9
-2.056114 -2.09368 -2.09908 -2.072164051
-1.780054 -1.90189 -1.9967 -2.061958398
-1.307416 -1.48803 -1.65191 -1.795115696
-2.099078 -2.09368 -2.05611 -1.98740527
-2.10088 -2.0847 -2.0366 -1.957878624
-1.599393 -1.74991 -1.8773 -1.978292849
-2.099078 -2.07216 -2.01367 -1.925178289
-2.056114 -1.98741 -1.8894 -1.76468578
-2.076819 -2.10009 -2.09103 -2.049869072
-1.837619 -1.94774 -2.02962 -2.081066416
-1.25914 -1.32802 -1.3795 -1.412395615


12
13
14
15
16
17

18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46

3.7386
0.0000
16.2446
3.8949
11.5982
19.3014
0.0000
15.4065
-3.8949
3.8083
11.5115
2.9127
9.7652
16.6178
0.0000
13.7051
-2.9127
3.9399
10.7925
2.1146
8.2759
14.4373
0.0000
12.3228
-2.1146
4.0468
10.2082
1.9384
4.5795
13.9561

1.2796
13.2973
-1.9384
0.7027
10.0793

12.3548
0.0000
9.3788
-6.7462
-2.2988
2.1487
0.0000
8.8949
6.7462
11.1937
15.6412
-5.0449
-1.0885
2.8678
0.0000
7.9127
5.0449
9.0012
12.9575
-3.6625
-0.1052
3.4520
0.0000
7.1146

3.6625
7.2198
10.7771
-3.3575
-1.8326
3.5810
-2.2163
4.7221
3.3575
4.8823
10.2959

-31.9736
-31.3819
-31.3819
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-23.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000
-7.5000

-7.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000
5.5000
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690
8.3690

0.23013
0
0.922397
0.183576
0.533254
0.843947
0
0.693227
-0.18358
0.179517
0.529493
0.0993

0.32844
0.543075
0
0.454266
-0.0993
0.134174
0.361786
0.070799
0.274403
0.468439
0
0.403368
-0.0708
0.13525
0.33662
0.066788
0.157361
0.466495
0.044102
0.445756
-0.06679
0.024223
0.341964

0.045612995
-0.181202034
0.768470893
0.042305301
0.400344022
0.729115402

-0.141575933
0.568108553
-0.322801329
0.038211487
0.396432249
-0.002981539
0.229310387
0.451542251
-0.102268962
0.358964739
-0.200749842
0.032081316
0.263513912
-0.029662537
0.17602179
0.375605871
-0.100375931
0.308240625
-0.170680867
0.035067489
0.239605636
-0.03659139
0.054432947
0.370624311
-0.059284087
0.349113558
-0.16960291
-0.079134972
0.242145387

-0.13949969
-0.36006331
0.604651242
-0.09943594
0.26297177
0.606160344
-0.28157535
0.436656483
-0.45843055
-0.1035199
0.258953724
-0.10523768
0.128252245
0.356140425
-0.20368229
0.260615455
-0.30051415
-0.07027969
0.163020048
-0.12988134
0.076194308
0.279638719
-0.19992969
0.210557574
-0.26916092
-0.06540182
0.140615322
-0.13966163
-0.04895546
0.271572445

-0.16216945
0.249478912
-0.27098016
-0.18182386
0.140267253

-0.322791511
-0.534274705
0.433032596
-0.240070004
0.122670174
0.476447225
-0.418437983
0.300337275
-0.588949585
-0.24409862
0.118590653
-0.206613282
0.026120249
0.257715136
-0.30338471
0.160069715
-0.397738658
-0.172053123
0.061159441
-0.229035246
-0.024256884
0.181358527
-0.297838727
0.111141277

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