******************************************************
******************************************************
** **
** SSS H H EEEEE A RRRR 777777 **
** S S H H E A A R R 7 **
** S H H E A A R R 7 **
** S H H E A A R R 7 **
** S HHHHH EEEE AAAAA RRR 7 **
** S H H E A A R R 7 **
** S H H E A A R R 7 **
** S S H H E A A R R 7 **
** SSS H H EEEEE A A R R 7 **
** **
******************************************************
******************************************************
Copyright 1994-2002
Massachusetts Institute of Technology
Distributed By
Atlantia Offshore Limited
Version 4.3e
2:05 pm 11 September 2003
Beta Version for Testing
filename: f200wtr.out
this is an output file from "SHEAR7"
the input file name is: f200wtr.dat
YOU HAVE INPUT:
===============
*** BLOCK 1. unit system ***
flag for units: 1
*** BLOCK 2. structural and hydrodynamic data ***
flag for structural model: 1
total length of the structure (ft.): 200.000
number of spatial segments: 200
modulus of elasticity (ksi): 0.1805E+04
volume weight of the fluid (lbf/ft**3): 64.000
kinematic viscosity of the fluid (ft**2/s): 0.1450E-04
structural damping coefficient: 0.00300
effective tension at origin (lbf): 800.0
no. of zones to define sectional property: 1
start and end point of each zone in x/L: 0.0000 1.0000
hydrodynamic,strength,inside diameter(in) 1.310 1.310 1.059
inertia (ft**4) 0.3994E-05 mass (lbf/ft) 0.766 sbmg wt (lbf/ft) 0.19
Ca: 1.000 St code: 0.180 CL reduction factor: 1.00 LiftCoefData: 1
hydrodynamic damping factors: 0.200 0.180 0.200
*** BLOCK 3. current data ***
profile data pts: 2 probability: 0.100E+01 profile ID: 100
location (x/L) and velocity (ft/s): 0.000 1.0000
location (x/L) and velocity (ft/s): 1.000 3.0000
*** BLOCK 4. s-n and scf data ***
no. of S-N curve segments: 1
cut-off stress range (ksi): 0.0000
stress range (ksi),cycles to failure: 0.4010E+01 0.1000E+09
stress range (ksi),cycles to failure: 0.4700E+02 0.1000E+05
global stress concentration factor: 1.000
no. of local stress concentration positions: 0
*** BLOCK 5. computation/output option ***
calculation option: 1
response location definition: 0.0000 1.0000 0.0400
no. of user selected modes 0
input gravitational acceleration (ft/sec**2): 0.000
two-sided bandwidth & multi-mode bandwidth: 0.4000 0.2000
cutoff to eliminate modes: 0.1000
flag for importing nodal tension & mass: 0
flag for MATLAB animation data output: 1
number of types of CL data to read: 4
*** BLOCK 6. supplemental data ***
Lift Coefficient Data
Data Set No.: 1
Number of frequencies: 1
ratio-ndFreq aCL0 aCLmax CLmax CL0
0.10000E+01 0.11000E+01 0.30000E+00 0.70000E+00 0.30000E+00
Data Set No.: 2
Number of frequencies: 26
ratio-ndFreq aCL0 aCLmax CLmax CL0
0.70000E+00 0.14900E+00 0.10000E+00 0.10000E+00 0.00000E+00
0.73000E+00 0.26600E+00 0.20000E+00 0.10000E+00 0.00000E+00
0.74000E+00 0.40000E+00 0.21400E+00 0.10000E+00 0.16000E-01
0.76000E+00 0.45100E+00 0.23500E+00 0.10000E+00 0.40000E-01
0.78000E+00 0.50500E+00 0.27000E+00 0.10000E+00 0.80000E-01
0.81000E+00 0.53000E+00 0.35000E+00 0.14000E+00 0.11000E+00
0.87000E+00 0.58800E+00 0.45000E+00 0.20000E+00 0.18000E+00
0.93000E+00 0.65800E+00 0.50000E+00 0.35000E+00 0.24000E+00
0.96000E+00 0.74600E+00 0.50000E+00 0.50000E+00 0.30000E+00
0.98000E+00 0.89000E+00 0.46000E+00 0.78000E+00 0.35000E+00
0.10000E+01 0.90000E+00 0.43000E+00 0.80000E+00 0.40000E+00
0.10200E+01 0.83700E+00 0.40000E+00 0.70000E+00 0.20000E+00
0.10500E+01 0.76100E+00 0.40000E+00 0.40000E+00 0.10000E+00
0.10800E+01 0.70600E+00 0.40000E+00 0.30000E+00 0.00000E+00
0.11000E+01 0.66600E+00 0.40000E+00 0.20000E+00 0.00000E+00
0.11600E+01 0.61500E+00 0.38000E+00 0.10000E+00 0.00000E+00
0.12200E+01 0.59200E+00 0.35000E+00 0.10000E+00 0.00000E+00
0.12800E+01 0.57500E+00 0.31300E+00 0.10000E+00 0.00000E+00
0.13400E+01 0.53900E+00 0.27500E+00 0.10000E+00 0.00000E+00
0.14000E+01 0.50400E+00 0.23800E+00 0.10000E+00 0.00000E+00
0.14500E+01 0.42000E+00 0.20000E+00 0.10000E+00 0.00000E+00
0.15700E+01 0.31200E+00 0.16000E+00 0.10000E+00 0.00000E+00
0.16300E+01 0.24700E+00 0.14000E+00 0.10000E+00 0.00000E+00
0.16900E+01 0.18600E+00 0.12000E+00 0.10000E+00 0.00000E+00
0.17400E+01 0.16000E+00 0.10000E+00 0.10000E+00 0.00000E+00
0.18000E+01 0.13600E+00 0.90000E-01 0.10000E+00 0.00000E+00
Data Set No.: 3
Number of frequencies: 1
ratio-ndFreq aCL0 aCLmax CLmax CL0
0.10000E+01 0.30000E+00 0.15000E+00 0.20000E+00 0.10000E+00
Data Set No.: 4
Number of frequencies: 1
ratio-ndFreq aCL0 aCLmax CLmax CL0
0.10000E+01 0.11000E+01 0.35000E+00 0.75000E+00 0.50000E+00
THE RESULTS OF PROGRAM ANALYSIS
===============================
1. You have selected the following options:
1.1 CALCULATING NATURAL FREQUENCY and MODE
SHAPE and VIV response with following
structural model:
pinned-pinned beam (varying tension)
1.2 The English unit system
1.3 The following damping factors are used:
1 0.200 0.180 0.200
2. Structural dynamic behavior.
2.1 String or beam?
Tk^2/EIk^4 = 0.160E+02
When the above value is less than 30
you should use the beam model.
2.2 Modes in excitation bandwidth, natural frequency,
and preliminary modal power ratio:
F = force; L = length; T = time.
mode no. frequency force damping modal power power ratio to max
(Hz) (F) (F*T/L) (F*L/T)
----------------------------------------------------------------------
1 0.3474 0.00E+00 0.75E+02 0.00E+00 0.00000
2 0.6951 0.00E+00 0.39E+02 0.00E+00 0.00000
3 1.0435 0.00E+00 0.26E+02 0.00E+00 0.00000
4 1.3928 0.00E+00 0.20E+02 0.00E+00 0.00000
5 1.7434 0.41E+00 0.16E+02 0.52E-02 0.00108
6 2.0957 0.80E+00 0.13E+02 0.24E-01 0.00491
7 2.4497 0.16E+01 0.12E+02 0.11E+00 0.02324
8 2.8064 0.22E+01 0.11E+02 0.24E+00 0.04868
9 3.1655 0.34E+01 0.10E+02 0.59E+00 0.12124
10 3.5273 0.47E+01 0.10E+02 0.11E+01 0.23264
11 3.8920 0.65E+01 0.97E+01 0.22E+01 0.44690
12 4.2609 0.86E+01 0.10E+02 0.36E+01 0.74856
13 4.6329 0.10E+02 0.11E+02 0.48E+01 1.00000
14 5.0097 0.47E+01 0.12E+02 0.88E+00 0.18170
15 5.3905 0.14E+00 0.15E+02 0.62E-03 0.00013
16 5.7752 0.00E+00 0.16E+02 0.00E+00 0.00000
17 6.1655 0.00E+00 0.16E+02 0.00E+00 0.00000
18 6.5614 0.00E+00 0.17E+02 0.00E+00 0.00000
19 6.9621 0.00E+00 0.17E+02 0.00E+00 0.00000
20 7.3684 0.00E+00 0.18E+02 0.00E+00 0.00000
21 7.7810 0.00E+00 0.18E+02 0.00E+00 0.00000
No. of potentially excited modes: 21
Based on the cutoff value of: 0.100
the number of modes above cutoff is: 6
These modes are:
9
10
11
12
13
14
Lowest And Highest Excited Mode Number
Nmmin= 9 Nmmax= 14
Pleas note that when there are many
modes above cutoff, and the number of
nodes is not large enough, some of the
modes that are above cutoff may not
get any input power region, and therefore
they may also be dropped out. These modes
are insignificant to fluid input power.
2.3 Ratio of change of vel to average vel: 1.00
The number of excited modes and the velocity ratio together
provide insight as to the likelihood of lock-in.
2.4 Finite or infinite system behavior?
MODE NUMBER, n WAVE PROPAGATION PARAMETER, n*zeta
----------------------------------------------------
9 0.5055
10 0.5074
11 0.5062
12 0.5136
13 0.5239
14 0.5292
When the minimum value in the table is greater than 2,
infinitely long structural behavior dominates.
When this value is less than 0.2, spatial attenuation is small.
3. The ratio of the change of tension to the average tension: 0.0469
The bigger the ratio, the larger the variation in tension.
4. Structural Properties
zone air mass mass ratio total mass inertia steel area hydro area
slugs/ft slugs/ft ft**4 ft**2 ft**2
-----------------------------------------------------------------------
1 0.238E-01 1.00 0.424E-01 0.399E-05 0.324E-02 0.936E-02
In the above table, if mass ratio is zero,
it means that this zone is out of water.
5. Fundamental natural frequency = 0.347381(Hz)
6. Maximum flow velocity: 3.0000 ft/s
Minimum flow velocity: 1.0000 ft/s
7. The highest Strouhal frequency is: 4.94656(Hz)
at node: 201
The lowest Strouhal frequency is: 1.64885(Hz)
at node: 1
8. Minimum wavelength corresponding
to the maximum flow velocity= 28.57(ft)
9. Modal damping ratio "zeta", modal mass,
and modal frequency for the mainly excited modes.
mode no. damping ratio modal mass(slug) frequency (Hz)
-------------------------------------------------------
9 0.05617 4.205 3.16547
10 0.05074 4.207 3.52735
11 0.04602 4.207 3.89201
12 0.04280 4.217 4.26085
13 0.04030 4.219 4.63288
14 0.03780 4.212 5.00968
10. Information on mode overlap.
There is mode overlap; the overlap part
has been eliminated.
11. Modal Displacement Amplitude
Mode No. Amplitude (ft or m)
---------------------------------
9 0.02704
10 0.01716
11 0.01816
12 0.01833
13 0.02604
14 0.00756
12. Modal excitation region.
Mode No. No. of Nodes Length Ratio
--------------------------------------
9 29 0.140
10 22 0.105
11 23 0.110
12 22 0.105
13 23 0.110
14 9 0.040
Portion of the structure which is subject to flow is
from 0.0000 L to 1.0000 L.
13. Lift coefficient for each mode.
In the following, the lift coefficient
is the amplitude and not RMS value.
Iteration, change in Reynolds number,
and user input Cl reduction in suppression
zone are taken into account.
mode number: 9
node number Cl Fn/Fvo
--------------------------------
74 0.6592 1.1097
75 0.6729 1.1033
76 0.6813 1.0970
77 0.6860 1.0908
78 0.6877 1.0846
79 0.6871 1.0785
80 0.6840 1.0725
81 0.6775 1.0666
82 0.6666 1.0607
83 0.6495 1.0548
84 0.6245 1.0491
85 0.5897 1.0434
86 0.5437 1.0377
87 0.4854 1.0321
88 0.4142 1.0266
89 0.3305 1.0212
90 0.3598 1.0158
91 0.4394 1.0104
92 0.5062 1.0051
93 0.5603 0.9999
94 0.6024 0.9947
95 0.6336 0.9896
96 0.6558 0.9845
97 0.6706 0.9795
98 0.6799 0.9745
99 0.6852 0.9696
100 0.6874 0.9647
101 0.6873 0.9599
102 0.6847 0.9551
mode number: 10
node number Cl Fn/Fvo
--------------------------------
103 0.4467 1.0590
104 0.4909 1.0538
105 0.5272 1.0487
106 0.5561 1.0435
107 0.5780 1.0385
108 0.5936 1.0335
109 0.6035 1.0285
110 0.6082 1.0236
111 0.6080 1.0187
112 0.6027 1.0139
113 0.5922 1.0091
114 0.5760 1.0044
115 0.5534 0.9997
116 0.5238 0.9950
117 0.4867 0.9904
118 0.4419 0.9858
119 0.3894 0.9813
120 0.3298 0.9768
121 0.3343 0.9724
122 0.3934 0.9680
123 0.4453 0.9636
124 0.4895 0.9593
mode number: 11
node number Cl Fn/Fvo
--------------------------------
125 0.4780 1.0538
126 0.4223 1.0491
127 0.3568 1.0444
128 0.3170 1.0398
129 0.3875 1.0353
130 0.4486 1.0308
131 0.4996 1.0263
132 0.5405 1.0218
133 0.5719 1.0174
134 0.5946 1.0131
135 0.6097 1.0087
136 0.6181 1.0044
137 0.6204 1.0002
138 0.6168 0.9960
139 0.6071 0.9918
140 0.5905 0.9876
141 0.5661 0.9835
142 0.5330 0.9794
143 0.4901 0.9754
144 0.4371 0.9714
145 0.3742 0.9674
146 0.3022 0.9634
147 0.3702 0.9595
mode number: 12
node number Cl Fn/Fvo
--------------------------------
148 0.4811 1.0462
149 0.4204 1.0420
150 0.3479 1.0378
151 0.3333 1.0337
152 0.4077 1.0295
153 0.4707 1.0254
154 0.5215 1.0214
155 0.5605 1.0174
156 0.5887 1.0134
157 0.6075 1.0094
158 0.6181 1.0055
159 0.6214 1.0016
160 0.6177 0.9977
161 0.6067 0.9939
162 0.5875 0.9901
163 0.5588 0.9863
164 0.5192 0.9826
165 0.4679 0.9788
166 0.4045 0.9751
167 0.3297 0.9715
168 0.3512 0.9678
169 0.4230 0.9642
mode number: 13
node number Cl Fn/Fvo
--------------------------------
170 0.3051 1.0445
171 0.4216 1.0406
172 0.5141 1.0368
173 0.5824 1.0330
174 0.6289 1.0292
175 0.6579 1.0255
176 0.6740 1.0217
177 0.6813 1.0180
178 0.6825 1.0144
179 0.6779 1.0107
180 0.6660 1.0071
181 0.6431 1.0035
182 0.6046 0.9999
183 0.5461 0.9964
184 0.4642 0.9928
185 0.3580 0.9893
186 0.3648 0.9859
187 0.4696 0.9824
188 0.5500 0.9790
189 0.6072 0.9756
190 0.6446 0.9722
191 0.6668 0.9689
192 0.6783 0.9656
mode number: 14
node number Cl Fn/Fvo
--------------------------------
193 0.4605 1.0405
194 0.4623 1.0370
195 0.4574 1.0334
196 0.4459 1.0299
197 0.4278 1.0264
198 0.4034 1.0230
199 0.3733 1.0196
200 0.3383 1.0161
201 0.3000 1.0128
14. RMS response and damage rate at specified locations.
Modes used in mode superposition calculation are
from mode 1 to mode 21.
English units: displacement = feet;
acceleration=ft/s^2; stress=ksi.
RMS A/D is RMS displ /local hydro diameter
14.1 x/L RMS displ RMS A/D RMS acc RMS stress damage(1/years)
--------------------------------------------------------------
0.000 0.000 0.000 0.000E+00 0.000E+00 0.000E+00
0.040 0.027 0.250 0.167E+02 0.836E-01 0.178E-04
0.080 0.016 0.148 0.731E+01 0.374E-01 0.957E-06
0.120 0.021 0.189 0.147E+02 0.731E-01 0.150E-04
0.160 0.023 0.214 0.113E+02 0.563E-01 0.357E-05
0.200 0.021 0.194 0.143E+02 0.709E-01 0.138E-04
0.240 0.021 0.194 0.122E+02 0.614E-01 0.433E-05
0.280 0.027 0.249 0.158E+02 0.783E-01 0.162E-04
0.320 0.022 0.199 0.137E+02 0.681E-01 0.773E-05
0.360 0.027 0.249 0.162E+02 0.794E-01 0.163E-04
0.400 0.028 0.260 0.166E+02 0.838E-01 0.166E-04
0.440 0.023 0.209 0.158E+02 0.772E-01 0.160E-04
0.480 0.031 0.280 0.186E+02 0.953E-01 0.292E-04
0.520 0.031 0.283 0.189E+02 0.902E-01 0.247E-04
0.560 0.030 0.273 0.198E+02 0.972E-01 0.376E-04
0.600 0.032 0.290 0.201E+02 0.988E-01 0.343E-04
0.640 0.032 0.294 0.218E+02 0.103E+00 0.559E-04
0.680 0.031 0.284 0.214E+02 0.103E+00 0.426E-04
0.720 0.034 0.312 0.236E+02 0.115E+00 0.968E-04
0.760 0.032 0.295 0.230E+02 0.109E+00 0.785E-04
0.800 0.033 0.304 0.253E+02 0.122E+00 0.128E-03
0.840 0.033 0.299 0.227E+02 0.988E-01 0.482E-04
0.880 0.036 0.334 0.288E+02 0.131E+00 0.175E-03
0.920 0.019 0.172 0.116E+02 0.588E-01 0.515E-05
0.960 0.041 0.374 0.303E+02 0.142E+00 0.204E-03
1.000 0.000 0.000 0.000E+00 0.000E+00 0.000E+00
14.2 Maximum damage rate & its position for each excited mode
Mode No. Location (x/L) damage rate upcrossing frequency (Hz)
----------------------------------------------------------------
9 0.485 0.484E-05 3.16547
10 0.550 0.221E-05 3.52735
11 0.680 0.647E-05 3.89201
12 0.790 0.179E-04 4.26085
13 0.960 0.181E-03 4.63288
14 0.970 0.663E-05 5.00968
14.3 The Overall Maximum RMS displacement (OMRD) is 0.041 ft
OMRD occurs at x/L= 0.955
14.4 The Overall Maximum RMS Stress (OMRS) is 0.142 ksi
OMRS occurs at x/L= 0.960
14.5 The Overall Maximum Fatigue Damage (OMFD) is 0.204E-03
OMFD occurs at x/L= 0.960
15. Re,St,and drag amplification factor
x/L T (lb) V (ft/s) Re St Cf
-------------------------------------------------------------
0.000 800.0 1.0000 7528.7 0.180 1.000
0.040 801.5 1.0800 8131.0 0.180 1.665
0.080 803.1 1.1600 8733.3 0.180 1.472
0.120 804.6 1.2400 9335.6 0.180 1.554
0.160 806.1 1.3200 9937.9 0.180 1.601
0.200 807.7 1.4000 10540.2 0.180 1.563
0.240 809.2 1.4800 11142.5 0.180 1.564
0.280 810.8 1.5600 11744.8 0.180 1.662
0.320 812.3 1.6400 12347.1 0.180 1.573
0.360 813.8 1.7200 12949.4 0.180 1.663
0.400 815.4 1.8000 13551.7 0.180 1.683
0.440 816.9 1.8800 14154.0 0.180 1.591
0.480 818.4 1.9600 14756.3 0.180 1.715
0.520 820.0 2.0400 15358.6 0.180 1.721
0.560 821.5 2.1200 15960.9 0.180 1.703
0.600 823.0 2.2000 16563.2 0.180 1.732
0.640 824.6 2.2800 17165.5 0.180 1.738
0.680 826.1 2.3600 17767.8 0.180 1.721
0.720 827.6 2.4400 18370.1 0.180 1.767
0.760 829.2 2.5200 18972.4 0.180 1.740
0.800 830.7 2.6000 19574.7 0.180 1.755
0.840 832.3 2.6800 20177.0 0.180 1.747
0.880 833.8 2.7600 20779.3 0.180 1.803
0.920 835.3 2.8400 21381.6 0.180 1.522
0.960 836.9 2.9200 21983.9 0.180 1.864
1.000 838.4 3.0000 22586.2 0.180 1.000
In the table, Cf is the drag amplification
factor due to VIV response. The product of
Cf and drag coefficient gives VIV amplified
drag coefficient. T is effective tension.
16. Computational resolution.
The user-input number of spatial segments: 200
The first program-suggested number of spatial segments: 105
The above value is defined as below.
It is assumed that the minimum wavelength equals
twice of the structure length divided by the
maximum mode number. It is also assumed that
in each wavelength, 10 segments would be sufficient.
The second program-suggested number of spatial segments: 4
The above value is defined as below.
There are at least 4 segments in the shortest structural zone.
The user-input number of spatial segments should be
greater than or at least equal to the larger of the two
program-suggested values.
However, to adequately model the lift force distribution,
the user-input number should not be too small.
When the number of segments is small, the
results can be sensitive to it.
|
