MODEL EXPERIMENTS ON JACK-UP
PLATFORM HYDRODYNAMICS
by: J.M..J.. Journée, W..W. Massie,
B. Boon and R. Onnink
Report No 809
November1988
Deift University of Technology
Ship Hydromechanics Laboratory Mekelweg 2
2628 CD Deift The Netherlands
by:
J.M.J. Journée [1], W.W
Massie [2], B. Boon [3J and R. Onnink [1]
November 1988
Report No 809
Delft University of Technology,,
Faculty of Mechanical Engineeringand Marine Technology,
Ship Hydromechanics Laboratory
Faculty of Mechanical Engineering and Marine Technology,
Ship Hydromechanics Laboratory
Faculty of Civil Engineering
Faculty of Mechanical Engineering and Marine Technology,
Design and Exploitation of Maritime Objects Group
(All are associated with the Workgroup Offshore Technology)
Contents
page
Introduction
iModel Definition
2Experimental Set-up
7Testing Program
10
.Selected Experimental Results
12
Acknowledgement
13
1. Introduction
Thi.s report describes the experiments carried
out with two
simplified models showi.ng the principals of elevated jack-up
platforms.
The purpose of these experiments is to investigate
hydrodynaniic as
well as structural non-linearjti.e.s in the
interaction between the
structure and water.
As such, this model design and testing
program forms a first step
in an intended series of hydrodynamic model and
possibly prototype
measurements of hydrodynamic forces and dynamic structural
response
of jack-up platforms in both regular and
irregular waves.
The whole series of these hydro.dynamic measurements
is, in turn,
only a part.of the entIre project to investigate
the dynamic
behaviour and.fati,g..ie...life of jack-upplatforms in.or'der
t:o develop
more appropriate design criteria and evaluation methods for such
platforms. This involves also diverse topics such
as. fatigue
testing of .j oints,..computer. simulations and..reiLabi1ity
analysis
using also non-linear effects.
Since the design of any. structure.to:day involves computer
simulations, the computer simulation of the non-line.a.r
dynamic
behaviour of an elevated jack-up platform will
play an important
role in the total project. Proper
representation of the
hydrodynamic interaction of the structure with
the sea is essential
for the suc:cess of a dynamic simulation. This
is therefore one of
the first items to be investigated,
at least in a preliminary way.
The mode1 tests described here
are intended to provide significant
insight into the non-linearities involving
the conversion from
hydrodynamics to forces acting
on jack-ups and the influence of, the
structural response on those loads. Also they will
provide a first
set of data agaInst which a non-linear
computer simulation can be
2. Model Definition
Purpose of the Experiments
The traditional quasi-static calculation of the
response of a
jack-up to waves is based jack-upon the following assumptions:
- A description of hydrodynamic forces, determined for an
(assumed) fixed structure from the local flow conditions,
using
a lineari.sed Morison equation.
-
A design wave (one wave with a certain height and period)
approach is used, while a possible current i.s taken into
account
by adding the current velocity 'to the wave particle velocities.
- Arigiddeck, with.rigidde:ck-l.eg. connections and legs hinged
(or fixed) at the sea bed.
-
Ag:eometric non linearity, which..occur.s with j a'ck-ups as
a
result of.secondary moments generatedwhen the deck load becomes
excentric tothe..reaction forces;during.dynamicho.rizonta1
displacements.
The response to irregular rather than regular waves is often
determined by adding the wave particle velocities of the
individual
waves and the current, and using this combined velocity in the
Mori son- formula.
A dynamic calculation of the response can be performed in
two
different ways.
The first method is a time domain simulation of the structural
response using the absolute water particle velocities as
an input
into the Morison-formula.
The other method is a simulation in the frequency domain
using a
linearised Moris:on approach and a dynamic amplification for
each
individual wave.
A more correct dynamic simulation may have to take into
account
relative rather than absolute water. particle velocities,
in other
words. take into account the interaction between .hydrodyn'amic
loads
and structural responses.
To gain some information to make this latter approach possible
model experiments areneces'sa'ry. In particular these are required
when wave frequencies are approaching the natural frequency
of the
j ack-up and response motion amplitudes do have
an appreciable
influence on the relative water particle velocity.
2Model Particulars
As explained above, the purpose of the model tests is to gain
insight in a situation where structural motion
response will have
significant impact on the relative water particle velocities.
Also
it is important to investigate the platform behaviour for
wave
frequencies in t.he vicinity of th'e resonant frequency of the
platform. These requirements to a large degree dictate the
dimensioning of the model.
It is deemed advisable to use maximum possible model dimensions,
which are dependent on the available test facilities.
For thes.e experIments use has' been made of Towing Tank I of the
Ship Hydromech.anic's Laboratory during a period that the towing
carriage was replaced by a ne.w o.ne.
Because of these activities the maximum available
water de.pth in
th,e basin was.re'st.ricted to 'about 2
meters.
:This 2..0 meters depth dictated a .leg'length slightly
more than
'that. Waves' possible in the.,basin:Shada,;frequency,.,r,anging
from
about' 0.7 'until 1.3Hz and a w'averamp.li'tude up to'.about 0.040
meter. .The full' range po.saible was. used in the tests.
in ord'er to avoid complications in thi,s sta'ge.of .the.researc'h
program it was decidedto provi:de'noro'tation restraint at the leg
footing.
With the diameter as a variable th'e hydrodynami.c loads were
determined, neglecting the role of roughness. In full scale
it 'is
common in a quasi-static calculation to allow maximum deflections
of a jack-up platform in the order' of 2
pe'rcent of the free leg
length for maximum. design conditions. It
was decided to aim for
simila.r de'fiections in the maximum model test conditions.
Th.is
together' with an average wave period o'f 1.0 se'conds
and a maximum
wave, amplitude of 0.040 meter dictated the E.I value, for the legs
for various leg diameters.
Given a leg diameter and E.I value.,
the..le'.g vail thickness only
depe.nds upon the' eiasti.city modulus 'of'th'e.leg
mate'rialchosen.
Realisti,c values we're found for relatively :larg'e diameter
PVC legs
and small diameter copper legs.
As the model. should be tested'arou'nd.,,its,..re.sonance
a platform'
materials g:iven thi.s dictat.ed the mass of the deck structureà for
natural per.iod of around 1.0 s'eco.nds, being 'th'e
average wave
period, was considered to be necessary.' With the1e.g...dimensions
and
the two models.
Two different deck masses for the slender leg j'ack-up model
wer'e
decided upon, in orde'r to check the influence
on the response o.f a
shift i.n platform natural frequency and the impact of the
second
or'd'er leg bending. it was checke'd that buckling risk would
be
non-existent.
Th'e leg spacing was determined by the whish to study possible total
load cancellation as a result of spatial phase differences
in the
h'y'drodyn'amic loading of the various legs. Based
upon a mean wave
period of about 1.0 seconds the leg spacing was taken
as 0.700
meter.
The dimensions of the jack-up modei.s ar'e shown in table
3-I and
figure 3-1.
Figure 3-2 shows two pictures take.n from model number 1 in
the
Model Scale
4
It is important to note that these models
ar
represent actual full scale jack-ups. Rather
considere.d as very small jack-ups at scale 1
are non-existent. Nevertheless these small j
characteristics that are comparable to those
US. T:hey allow to study the special feature,
the present research, i.e. the effect of
non
loadings and response,s in the
area near .plat
interaction between those is important.
Table 2-I.
Dimensions of the Three Models
e not intended to
they should be
:1. Thus scale effects
ack-ups possess
of normal sized
jack-s that are jack-subject of
-lin'earities in wave
form resonance where
Item Model 1 Model 2 Model 2-M UnitB
Mass of: deck and legs down to hinge 18.20 5.90 5.90 kg
Total additional mass on deck 15.00 0.00 3.15 kg
Accelerometer on deck 0.17 0.17 0.17 kg
Clamping tools on deck 0.55 0.35 0.35 kg
Total mass of model downto hinge 33.92 6.42 9.57 kg
Deck material alum. /PVC aluminium aluminium
-Deck material density 2700 2700 2700
kgm3
Leg materiel hard PVC red copper red copper
-Leg material density 1400 8900 8900
kgm3
Leg material elasticity modulus 3000 100000 100000 :
Leg bending stiffnea, E1 2118 133.1 133.1
Nm2
Deck-leg connection clamped clamped clamped
-Leg-bottom connection hinged hinged hinged
-Leg outer diameter 0.0900 0.0160 0:0160 m
Leg wall thickness 0.0027 0.0013 0.0013
m
Leg apacing:(60 degrees)
0700
0.700 : 0.700m
Distance to tank floor of:
Deck (topside) 2.373 2.403 2.403 m
Displacement meters 2.373
2403
2.403 mAccelerometers 2.373 2.403 2.403
m
Wave force component dynamometer 2.373 2.403 2.403
m
Still water surface 2.004 2.004 2.004 m
Base of leg cylinder 0.143 0.143 0.143
m
0
0
Figure 2-1.
Model Dimensions
C
cflsr
I
3. Experimental Set-up
The time and budget limitations for this test series prevented the
design or purchase of specialised instrumentation. The project
was
set up for "off the shelf" instrumentation. Such equipment was
available at the Ship Hydromechanics Laboratory for the measurement
of forces, accelerations and displacements. However,
none of these
was designed for submerged operation.
Forces
Nine dynamometers, based on strain-gauge measurement of bending
resulting from shear forces, were coated with
a flexible
water-proofing material so that they could be used while submerged.
Experience had already been gained with this in other tests. These
newly coated units were first tested and calibrated before
instal-lation in the present set-up. The results of the calibrations
are
given in Appendix I.
Force measurements were limited to the registration of the force
components along each of the three axes with the origin
at the base
of each leg A,
B or C:
-
x along the tank, positive toward the wavemaker
-z vertical, positive upwards
-
y perpendicular to these according to a righthand axis system.
The flexibility of the legs precluded that the static
indeter-minance of the system caused problems. Careful attention
to
dimensions as well as installation procedures made it possible
to
keep such resulting residual loads within a range which could be
discounted via the calibration and balancing.
The leg hinges and dynamometers are shown in the figures
below.
8
These nine dynamometers were labeled A, Ay
A, B,
B, C, C,
and C
respectively. The corresponding measured forces
were denoted
by XA,
A' ZA, XB,
B'
ZB, X,
cand Z
respectively.
A tenth dynamometer D
was used to measure the forces due to waves
on the legs with the platform held motionless. The dynamometer
was
fixed in space and connected with the platform
at location D of the
deck by means of a double cardanic coupling mechanism. This
force
was indicated by XD and the results of the calibration of
dynamometer D
are given in Appendix I.
Accelerations and Displacements
An 5-g accelerometer was mounted on the deck in such
a way that it
measured x andy components of the acceleration
at the location D
at the deck of the platform. These accelerations
were indicated by
XD and
Additionally a bit redundantly, the horizontal
x and y
displace-ments of the deck were measured at locations A and C,
so as to
detect any possible rotations. These displacements,
indicated by
xA, YA
xc and yc respectively, also provide for a direct check of
the acceleration measurements.
Waves
The waves were measured by a two-wire conductance
wave probe, as
normally used in this towing tank. The
wave meter was mounted
adjacent to the platform so that its record is in
phase with that
of the "windward" leg A. This
wave elevation was indicated by cA
Calibrations
The various measuring elements, such
as force meters, displacement
meters and accelerometers, were individually calibrated before
installation. The results of these calibrations
are summarised in
Appendix I.
Later calibrations were only carried out in
a more direct way.
The natural frequency of the platform has been
determined. Since
model 1 has first been installed in
a dry tank, it was possible to
determine its natural frequency both in air and in
still water.
For models 2 and 2-M only a natural frequency
determination in
4. Testing Program
General Purpose
The general purpose of the testing program was to determine the
influence of the platform motion
response on the hydrodynamic
non-linearity as manifested via quadratic drag and the
ensuing impact
on the superposition principle as often used in naval architecture.
The results of this work
are essential for the description of the
hydrodynamics of jack-up platforms, to be used in
computer
simulations.
Data from the various test runs were recorded in
an analog form, so
that it may he worked out in a variety of
ways in the future.
Additionally, significant data were simultaneously
displayed
visually on an U.V. papertape recorder
as a check.
The "traditional naval architects approach" of
examing only the
first harmonics of responses
was not followed in these tests.
One standard processing step will be the determination
of spectra
for the various signals recorded. In
some cases both peak and RMS
values of the recorded (irregular) signals will
be of interest.
Data from a number of the runs will be used
to check the computer
simulations. This can be done both with regular and
irregular
waves
Regular Waves
Results of experiments carried out in regular
waves, using at least
three different wave heights and a range of wave periods which
includes the natural period of the structure in water, will be used
to determine the basic response of each
structure.
If the behaviour is completely linear,
then a plot of deck
displacement amplitude divided by the wave amplitude versus wave
frequency will yield a family of identical
curves, showing the
well-known resonance peak. The degree
to which these curves are
individual, thus wave amplitude-dependent,
is a indication of the
non-linearity of the situation.
Non-linearities such as quadratic drag lead
to the phenomena that a
wave (input) at one frequency yields force
components (output) at
this same frequency as well
as at higher harmones of this.
Conver-sely, the presence of extra energy
at high frequencies in an output
as compared to an input can be an indication of non-linear
behaviour.
Force components in the y-direction
can imply the presence of lift
forces. However, these are only expected
to be of small amplitude,
in particular for the model with the large
diameter legs.
Paired Regular Waves
A first check of the superposition principle, which makes the study
of a linear(ised) system so attractive, is to
expose the models to
a wave consisting of a superposition of two regular
waves of
different frequency as used above. Such paired
waves, themselves,
show a well-known beat pattern with alternating
segments of large
and small amplitude. The wave frequencies were chosen such that
they "embrace" the natural frequency of the model;
one frequency is
below the natural frequency and one above it.
If linearity and superposition is preserved,
then the result of
this test should be predictable from the results with
regular
waves
Wave Spectra Response
The response of the model to waves having
a known, so measured,
energy spectrum was also determined.
It is not deemed necessary to generate
a wave spectrum in the model
which exactly satifies a theoretical model such
as that determined
by the mean JONSWAP spectrum.
The linearised response function, determined by dividing
the output
spectrum by the input wave-spectrum can be compared to that
5. Selected Experimental Results
As a check a few selected experimental results, derived
from the
U.V. recordings, were examined during the experiments.
The data,
used for this purpose, are tabulated in the summary of the
experiments in Appendix I.
These results are given below in graphs without detailed
discus-S
ion.
Before starting the experiments in waves, the platform deck
of
model number 1 was loaded by static forces in the
x-direction. The
resulting vertical forces at the hinged connection of the
three
legs to the bottom, ZA, ZB and Z,
were measured. The results are
given in figure 5-1. It is clear that the
sum of these measured
vertical forces, ZA+ZB+ZC, has to be
zero. However the figure shows
that a force of about 5
N remains.
Figure 5-2 shows the displacements in the x-direction,
due to these
static loads in the x-direction.
Figure 5-3 shows the amplitudes of the horizontal displacement
in
the x-direction of the platform deck of model
number 1 in simple
regular waves with three different nominal amplitudes.
Figure 5-4 shows the amplitudes of a wave force
component, measured
at the deck level of the fixed model number 2 in simple regular
waves with one nominal amplitude.
Figure 5-5 shows the amplitudes of the horizontal displacement
in
the x-direction of the platform deck of this model
in simple
regular waves with five nominal amplitudes.
These force and displacement amplitudes
are also shown for model
number 2-M in the figures 5-6 and 5-7 for three nominal
wave
amplitudes.
Figure 5-8 shows the horizontal deflections of
the platform deck of
model number 2,
due to a static horizontal load
on the platform
deck in the x-direction.
These horizontal deflectjons
are also shown for model number 2-M in
figure 5-9.
tiIt
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14
Figure 5-2.
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Model No 1, due to a Static Horizontal Load
in the x-Direction on the Platform Deck
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in the x-Direction of the Platform Deck of
Model No 1 in Simple Regular Waves
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Model No 2
in Simple Regular Waves
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in the x-Direction of the Platform Deck of
Model No 2
in Simple Regular Waves
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in the x-Direction of the Platform Deck of
Model No 2-M in Simple Regular Waves
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Horizontal Deflections of the Platform Deck of
Model No 2, due to a Static Horizontal Load
in the x-Direction on the Platform Deck
a:
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Figure 5-9.
Horizontal Deflections of the Platform Deck
of
Model No 2-M, due to a Static Horizontal
Load
in the x-Direction on the Platform Deck
6. Acknowledgement
The authors are indebted to Dr. Sv. Spassov, Research Fellow
at the
Delft University of Technology, coming from the Bulgarian Ship
Hydrodynamics Centre in Varna, and Mr. P.J. Spaargaren,
student-assistant of the Faculty of Civil Engineering of the Delft
University of Technology, for their contibutions to this project,
especially the dimensioning of the jack-up models.
Their work has been reported in an internal
report of the Ship
Hydromechanics Laboratory:
Spassov Sv. and P.J. Spaargaren
On Jack-up Platforms and Marine Riser Dynamics
Delft University of Technology, Ship Hydromechanics Laboratory,
Report No 793-M, May 1988.
Appendix I. Summary of Experiments
The experiments were carried out in Towing Tank Number I of the
Ship Hydromechanics Laboratory during a part of the months July and
August 1988.
The width of this tank is 4.200 meter. The waterdepth was 2.004
meter during all experiments and the constant temperature of the
fresh water was about 17.0 °C.
The experiments were carried out with three jack-up models, in
order numbered by 1,
2 and 2-M. Jack-up number 2-M is identical to
jack-up number 2, but masses of 1.05 kg are added at the deck level
on the centerline of each leg.
The axis system and the location are given in the figure below.
0
cJ
S/
/
-.-,
-,
'
'I
WYe
probe
C
z
(pwcr 5)
The calibration factor of the dynamometer used
to measure the force
in the space-fixed top-side of the platform, caused
by the wave
forces, is given by:
D:
1 Volt = 20.0 N
An instrumentation recorder was used for registration of the
various signals as listed below:
Channel
1:
Channel
2:
Channel
3:
Channel
4:
Channel
5:
Channel
6:
Channel
7:
Channel
8:
Channel
9:
Channel 10:
Channel 11:
Channel 12:
Channel 13:
The tape speed was 1-7/8 inch
per second.
The signals on channels 12 and 13
were recorded directly, via a
modulator-demodulator.
A refence voltage of ±f2 Volt
or ±1 Volt was given on the tapes
regularly too.
All required information for data-processing,
such as calibration
data, amplification factors, etc.,
was stored on the voice channel
of the recorder.
An U.V. papertape recorder was used for registration
of the various
signals as listed below:
Channel
1:
Channel
2:
Channel
3:
Channel
4:
Channel
5:
Channel
6:
Channel
7:
Channel
8:
Channel
9:
Channel 10:
Channel 11:
Channel 12:
not
used
20
force-signal XA
force-signal ZA
force-signal XB
force-signal ZB
force-signal XC
force-signal ZC
displacement- signal xA
displacement-signal
XC
displacement - signal
yA
displacement - signal
YC
not usable
acceleration-signal xD
wave-elevation-signal c
acceleration-signal
YD
acceleration-signal
D
(also on I.R.)
displacement-signal XC (also on I.R.)
displacement-signal XA (also on I.R.)
displacement-signal
YC (also on I.R.)
displacement-signal
YA (also on I.R.)
force-signal
A or
force-signal XD
force-signal
C
force-signal 'B
not usable
wave-elevation-signal ç
(also on I.R.)
The calibration factors of the 9 dynamometers at the lower leg-ends
are listed below:
A:
1 Volt = 46.2 N
A:
1 Volt
42.7 N
A:
1 Volt = 41.5 N
B:
1 Volt
47.8 N
B:
1 Volt = 43.6 N
B:
1 Volt
46.6 N
C:
1 Volt
44.7 N
C:
1 Volt = 43.0 N
C:
1 Volt
44.8 N
The standard calibration factors of these signals
are as follows:
wave-elevation-signal ç:
1.0 cm = 1.0 cm on U.V.
displacement-signal xA:
1.0 cm = 2.0 cm on U.V.
displacement-signal yA:
1.0 cm
2.0 cm on U.V.
displacement-signal XC:
1.0 cm = 2.0 cm on U.V.
displacement-signal yc:
1.0 cm
2.0 cm on U.V.
acceleration-signal XD:
1.0 g = 14.14 cm on U.V.
acceleration-signal yD:
1.0 g = 14.14 cm on U.V.
force-signal YA:
1.0 Volt
42.7 N
5.0 cm on U.V.
force-signal YB:
1.0 Volt = 43.6 N
= 5.0 cm on U.V.
force-signal Y:
1.0 Volt = 43.0 N
= 5.0 cm on U.V.
force-signal XD of jack-up number 1:
1.0 Volt = 20.0 N
= 1.0 cm on U.V.
force-signal XD of jack-up number 2 and 2-M:
1.0 Volt
20.0 N
4.5 cm on U.V.
For a few runs an enlarged scale was used for the
wave-elevation
signal on the papertape. This is marked in the
tables with a
comment.
When looking in the direction opposite the
paper transport
(stan-ding in front of the recorder) the positive
direction of the
signals is a movement from left to right
on the U.V. recorder. Left
is also defined by the numbered side of the
papertape.
During the experiments in irregular waves the transient time after
starting the generation of the waves and before starting the
registration of the signals was about three
minutes. This was done
to get a proper registration of the behaviour of
the platform.
For each run in irregular
waves the measuring time was about 20
minutes
In the following tables all experiments
are listed in the order as
they have been carried out.
In these tables some runs
are marked with Ttfree oscillation". These
experiments were carried out in still water.
If no counter reading
is given, then the signals were recorded on the U.V. papertape
recorder only.
The mark "reference signal' means that a reference voltage of ±/2
Note: The original leg-deck connection was found to allow relative motions. As this was considered undesirable the connection was
glued making it much more rigid.
Run numbers 006 until 014 are part of an experimental test program, carried out to get an impression of the quality of the various signals and their magnitudes.
22
Jack-up No 1 in Air.
Run Experiment deck-Leg
no connection
001 Free oscillation in x-direction
of a "naked" model unglued 002 Free oscillation in y-direction
of a "naked" model unglued
003 Free horizontal rotation
a mass of 5.0 kg on each leg unglued 004 Free horizontal rotation with
a mass of 5.0 kg on each leg unglued
005 Free oscillation in x-direction
with a mass of 5 kg on each leg glued
Jack-up No 1. Static Load on Platform in i-Direction. (not numbered) X XA ZA ZB Zc SUN (N) (rn) (N) (N) (N) (N) 0.0 0.000 0.0 0.0 0.0 0.0 4.9 0.010 -18.4 +8.6 +8.8 -1.0 9.8 0.019 -31.0 +17.6 +18.6 +5.2 14.7 0.029 -49.6 +26.6 +28.2 +5.2 19.6 0.039 -67.7 +35.3 +37.9
+55
24.5 0.049 -86.2 +44.3 +47.6 +5.7 29.4 0.058 -106.0 +53.2 +57.9 +5.1 34.3 0.069 -124.5 +62.5 +68.0 +5.9 39.2 0.079 -143.2 +71.2 +78.2 +6.2Information and reference signal.
Reference signal.
Non-harmonic wave.
Free oscillation.
No U.V. recording. Jack-up No 1. Wave Excitation in Simple Regular Waves.
Run wave counter range of strain gauge meters for: xAa
reading -no f a of tape A A A B B 8 C C C XAa a number: (Hz) (m) 091/113
()
()
(j) (ii) (ti) (z)()
()
(j.) Cm) C-) 0000-0 089 015 1.000 0.0200 0090-0097 300 1000 3000 300 1000 3000 300 1000 3000 0.0079 0.40 016 0.800 0.0210 0097-0107 300 1000 3000 300 1000 3000 300 1000 3000 0.0235 1.12 017 1.200 0.0190 0107-0114 100 1000 1000 100 1000 1000 100 1000 1000 0.0015 0.08 018 1.100 0.0200 0115-0121 100 300 1000 100 300 1000 100 300 1000 0.0035 0.17 019 0.900 0.0195 0122-0128 300 300 3000 300 300 3000 300 300 3000 0.0254 1.30 020 0.850 0.0210 0128-0135 300 300 3000 300 300 3000 300 300 3000 0.0335 1.60 021 0.750 0.0209 0138-0146 300 300 3000 300 300 3000 300 300 3000 0.0165 0.83 022 0.700 0.0202 0147-0153 300 300 3000 300 300 3000 300 300 3000 0.0129 0.64 023 0.930 0.0210 0153-0159 300 300 3000 300 300 3000 300 300 3000 0.0197 0.94 0 160-0212 024 0.700 0.0105 0215-0222 100 300 1000 100 300 1000 100 300 1000 0.0060 0.60 025 0.750 0.0105 0223-0231 100 300 1000 100 300 1000 100 300 1000 0.0070 0.74 026 0.800 0.0105 0232-0263 300 300 3000 300 300 3000 300 300 3000 0.0128 1.21 027 0.850 0.0102 0263-0271 300 300 3000 300 300 3000 300 300 3000 0.0206 2.00 028 0.900 0.0104 0271-0280 300 300 3000 300 300 3000 300 300 3000 0.0153 1.47 029 0.950 0.0105 0281-0290 100 300 1000 100 300 1000 100 300 1000 0.0073 0.69 030 1.000 0.0100 0291-0300 100 300 1000 100 300 1000 100 300 1000 0.0040 0.40 031 1.100 0.0104 0300-0308 100 300 300 100 300 300 100 300 300 0.0018 0.17 032 0.870 0.0105 0308-0316 300 300 3000 300 300 3000 300 300 3000 0.0223 2.11 033 0.700 0.0320 0317-0327 300 300 3000 300 300 3000 300 300 3000 0.0183 0,57 034 0.750 0.0310 0329-0335 300 300 3000 300 300 3000 300 300 3000 0.0228 0.73 035 0.800 0.0318 0336-0347 1000 300 3000 1000 300 3000 1000 300 3000 0.0318 1.00 036 0.850 0.0300 0348-0355 1000 300 3000 1000 300 3000 1000 300 3000 0.0405 1.35 037 0.900 0.0275 0355-0364 1000 300 3000 1000 300 3000 1000 300 3000 0.0334 1.21 038 0.950 0.0315 0365-0373 300 300 3000 300 300 3000 300 300 3000 0.0208 0.66 039 1.000 0.0310 0374-0384 300 300 3000 300 300 3000 300 300 3000 0.0115 0.37 040 1.100 0.0315 0385-0395 300 300 3000 300 300 3000 300 300 3000 0.0051 0.16 041 0395-0405 042 1.150 0.0094 0406-0416 100 300 1000 100 300 1000 100 300 1000 0.0015 0.16 043 1.200 0.0085 0471-0481 100 300 1000 100 300 1000 100 300 1000 0.0014 0.16 044 1.250 0482-0492 100 300 1000 100 300 1000 100 300 1000 045 1.300 0.0090 0494-0506 100 300 1000 100 300 1000 100 300 1000 0.0012 0.13 046 1.350 0.0091 0507-0520 100 300 1000 100 300 1000 100 300 1000 0.0015 0.16 047 1.400 0.0110 0522-0536 100 300 1000 100 300 1000 100 300 1000 0.0018 0.16 048 1.500 0.0110 0537-0568 100 300 1000 100 300 1000 100 300 1000 0.0017 0.15 049 1.600 0.0090 0550-0560 100 300 300 100 300 300 100 300 300 0.0014 0.15 050 1.700 0.0070 0561-0571 100 300 300 100 300 300 100 300 300 0.0010 0.1424
It may be noted that the tabulated maximum
a values, derived from the U.V. recordings,
are approximate values only.
Reference signal.
Free oscillation. Free oscillation.
Reference signal. Jack-up No 1. Wave Excitation in Paired Regular Waves.
Run wave counter range of strain gauge meters for: reading no f max a of tape number: A A A B B B C C,, C
(Hz) (m) 091/113 (ii)
()
(ii)()
(ii)()
(j)
(ji)
(t)
0572-0582
051 0.807/0.893 0.0058 0583-0596 300 300 1000 300 300 1000 300 300 1000 052 0.807/0.893 0.0135 0597-0610 300 300 1000 300 300 1000 300 300 1000 053 0.807/0.893 0.0235 0611-0624 1000 300 3000 1000 300 3000 1000 300 3000 054 0.807/0,893 0.0350 0625-0636 1000 300 3000 1000 300 3000 1000 300 3000
Jack-up No 1. Wave Excitation in Irregular Waves.
Run spectrum counter range of strain gauge meters for:
reading
-no no f of tape number:
Ax &, A
8x 8y 8z c Cy C
()
(Hz) 091/113()
(p) (i) (ii) (ii) (IL) (jz)(j)
()
055 12 0.750 0653-0838 300 300 3000 300 300 3000 300 300 3000 056 12 0.750 0839-1021 300 300 3000 300 300 3000 300 300 3000 057 12 0.750 1023-1208 300 300 3000 300 300 3000 300 300 3000 1209- 1249 058 13 0.850 1250-1432 300 300 3000 300 300 3000 300 300 3000 059 13 0.850 1633-1628 300 300 3000 300 300 3000 300 300 3000 060 13 0.850 1629-1815 300 300 3000 300 300 3000 300 300 3000 061 14 0.950 1816-2002 300 300 3000 300 300 3000 300 300 3000 062 14 0.950 2005-2197 300 300 3000 300 300 3000 300 300 3000 063 14 0.950 2200-2388 300 300 3000 300 300 3000 300 300 3000 064 065
The second strain gauge meter marked here by was used to measure the forces XD at the top-side fixed platform due to the wave excitation.
The platform was fixed by means of a double cardanic coupling mechanism. Due to too high a tolerance in this coupling, the force signal is somewhat
peaked.
Only during run numbers 075 and 076 this coupling was replaced by a fixed coupling mechanism to check the signals. No significant differences were
found.
has a zero shift.
Peaked force signal.
Fixed couplig mechanism for Dx Fixed couplig mechanism for D. Jack-up No 1. Wave Forces in Simple Regular Waves.
Run wave counter range of strain gauge meters for: reading no a of tape A D A 5x By 55 C Cy Cz number: (Hz) (m) 091/113
()
(j) (j) (ii)()
(ii)(t)
(JL)()
066 1.000 0.0185 2404-2417 300 300 300 300 300 300 300 300 300 067 0.800 0.0193 2418-2429 300 300 300 300 300 300 300 300 300 068 1.200 0.0190 2430-2440 300 300 300 300 300 300 300 300 300 069 1.100 0.0198 2442-2454 300 300 300 300 300 300 300 300 300 070 0.850 0.0195 2455-2466 300 300 300 300 300 300 300 300 300 071 0.900 0.0188 2467-2478 300 300 300 300 300 300 300 300 300 072 0.750 0.0197 2480-2492 300 300 300 300 300 300 300 300 300 073 0.700 0.0195 2493-2505 300 300 300 300 300 300 300 300 300 074 0.930 0.0186 2505-2518 300 300 300 300 300 300 300 300 300 075 0.930 0.0195 2519-2536 300 300 300 300 300 300 300 300 300 076 1.200 0.0190 2537-2554 300 300 300 300 300 300 300 300 30026
Reference signal. Rotation of platform. Rotation of platform. Repeat of run 93. Transient response. Free oscillation. Reference signal. Jack-up No 2. Wave Excitation in Simple Regular Waves.Run wave counter
reading
range of strain gauge meters for:
XAa
-no f a on tape number: A A. A 8x C C, C XAS (Hz) Cm) 091/113 (p) (ii)()
(p) (p) (p)()
()
(p)
Cm) (-) 077 2555-2597 078 0.700 0.0300 2599-2609 30 30 100 30 30 100 30 30 100 0.0051 0.17 079 0.750 0.0292 2610-2620 30 100 100 30 100 100 30 100 100 0.0060 0.20 080 0.800 0.0288 2621-2631 30 100 100 30 100 100 30 [00 100 0.0078 0.27 081 0.850 0.0270 2632-2642 30 100 100 30 100 100 30 100 100 0.0063 0.23 082 0.900 0.0280 2643-2653 30 100 100 30 100 100 30 100 100 0.0052 0.19 083 0,950 0.0290 2654-2664 30 100 100 30 100 100 30 100 100 0,0039 0.13 084 1.000 0.0280 2665-2676 30 100 100 30 100 100 30 100 100 0,0028 0.10 085 1.050 0.0288 2677-2690 30 100 100 30 100 100 30 100 100 0.0020 0.07 086 1.100 0.0280 2691-2702 30 100 100 30 100 100 30 100 100 0.0013 0.05 087 1.150 0.0275 2703-2714 30 100 100 30 100 100 30 100 100 0.0011 0.04 088 0.600 0.0290 2715-2725 30 100 100 30 100 100 30 100 100 0.0035 0.12 089 0.500 0.0250 2726-2737 30 100 100 30 100 100 30 100 100 0.0022 0.09 090 0.900 0.0213 2738-2748 30 100 100 30 100 100 30 100 100 0.0036 0.17 091 0.800 0.0198 2749-2762 30 100 100 30 100 100 30 100 100 0.0055 0.28 092 0.700 0.0205 2763-2774 30 100 100 30 100 100 30 100 100 0.0031 0.15 093 0.600 094 0.600 0.0198 2775-2786 30 100 100 30 100 100 30 100 100 0.0020 0.10 095 0.850 0.0205 2787-2798 30 100 100 30 100 100 30 100 100 0.0048 0.24 096 0.750 0.0205 2799-2810 30 100 100 30 100 100 30 100 100 0.0040 0.19 097 0.500 0.0165 2812-2825 30 100 100 30 100 100 30 [00 100 0.0011 0.06 098 1.000 0.0193 2827-2837 30 100 100 30 100 100 30 100 100 0.0020 0.10 099 1.100 0.0200 2838-2849 30 100 100 30 100 100 30 100 100 0.0010 0.05 100 1.200 0.0200 2850-2861 30 100 100 30 100 100 30 100 100 0.0008 0.04 101 0.825 0.0190 2861-2871 30 100 100 30 100 100 30 100 100 0.0051 0.27 102 0.775 0.0205 2872-2884 30 100 100 30 100 100 30 100 100 0.0049 0.24 103 0.775 2885-2890 30 100 100 30 100 100 30 100 100 104 105 0.800 0.0375 2891-2902 30 100 100 30 100 100 30 100 100 0.0089 0.24 106 0.900 0.0375 2903-2913 30 100 100 30 100 100 30 100 100 0.0060 0.16 107 1.000 0.0397 2913-2923 30 100 100 30 100 100 30 100 100 0.0038 0.10 108 0.700 0.0410 2925-2935 30 100 100 30 100 100 30 100 100 0.0103 0.25 109 0.600 0.0373 2936-2946 30 100 100 30 100 [00 30 100 100 0.0056 0.15 110 0.500 0.0325 2947-2957 30 100 100 30 100 100 30 100 100 0.0030 0.09 111 0.750 0.0395 2958-2968 30 100 100 30 100 100 30 100 100 0.0110 0.28 112 0.725 0.0395 2969-2980 30 100 100 30 100 100 30 100 100 0.0115 0.29 113 0.775 0.0400 2981-2991 30 100 100 30 100 100 30 100 100 0.0105 0.26 114 0.775 0.0293 2992-3005 30 100 100 30 100 100 30 100 100 0.0079 0.27 3006-303 6 115 0,825 0.0302 3037-3048 30 100 100 100 100 100 30 100 100 0.0075 0.25 116 0.500 0.0520 3050-3065 30 100 300 30 100 300 30 100 300 0.0083 0.16 117 0.600 0.0645 3066-3075 30 100 300 30 100 300 30 100 300 0.0198 0.30 118 0.600 0.0598 3076-3088 30 100 300 30 100 300 30 100 300 0.0170 0.28 119 0.700 0.0615 3089-3099 30 100 300 30 100 300 30 100 300 0.0225 0.37 120 0.800 0.0593 3100-3110 30 100 300 30 100 300 30 100 300 0.0154 0.26 121 0.550 0.0542 3112-3123 30 100 300 30 100 300 30 100 300 0.0125 0.23 122 0.650 0.0650 3124-3139 30 100 300 30 100 300 30 100 300 0.0249 0.38 123 0.750 0.0620 3140-3150 30 100 300 30 100 300 30 100 300 0.0212 0.34It may be noted that the tabulated maximum
a values, derived from the U.V. recordings
are approximate values only.
The second strain gauge meter A. marked here by D,, was used to measure the forces at the top-side fixed platform due to the wave excitation. The platform was fixed by means of a double cardanic coupling mechanism.
1 cm ç 0.5 cm on tJ.V. 1 cm = 0.5 cm on U.V.
Reference signal.
XD on U.V. recording too bad. Repeat of run 133.
Jack-up No 2. Wave Excitation in Paired Regular Waves.
Run wave counter range of strain gauge meters for: reading no f max a on tape A A A B By B C C C number: (Hz) (m) 091/113
()
()
(j)
()
(jt)
(s)
(i)
()
()
124 0.760/0.846 0.0400 3151-3162 30 100 100 30 100 100 30 100 100 125 0.760/0.846 0.0700 3163-3173 30 100 100 30 100 100 30 100 100 126 0.760/0.846 0.0550 3174-3186 30 100 100 30 100 100 30 100 100 127 0.750/0.836 0.0650 3187-3200 30 100 100 30 100 100 30 100 100 128 0.750/0.836 0.0480 3201-3211 30 100 100 30 100 100 30 100 100 129 0.750/0.836 0.0800 3211-3224 30 100 300 30 100 300 30 100 300 130 0.700/0.786 0.0680 3225-3236 30 100 300 30 100 300 30 100 300 131 0.700/0.786 0.0800 3237-3248 30 100 300 30 100 300 30 100 300 132 0.700/0.786 0.1000 3249-3261 30 100 300 30 100 300 30 100 300Jack-up No 2. Wave Porces in Simple Regular Waves.
Run wave counter range of strain gauge meters for: XDa
reading
no f on tape
number:
A D A Bx 8y Bz C C,, C1
(Hz) (m) 091/113 (ii)
()
()
(j)
(it)
(/4)(ii)
(ii)
(j) (N) N/rn 3261- 3 27 0 133 0.500 0.0320 3270-3280 30 30 300 30 30 300 30 30 300 134 0.500 0.0360 3281-3291 30 100 100 30 100 100 30 100 100 0.25 6.8 135 0.600 0.0480 3292-3303 30 100 100 30 100 100 30 100 100 0.42 8.7 136 0.700 0.0430 3304-3314 30 100 100 30 100 100 30 100 100 0.38 8.9 137 0.800 0.0440 3315-3329 30 100 100 30 100 100 30 100 100 0.34 7.8 138 0.900 0.0420 3329-3340 30 100 100 30 100 100 30 100 100 0.30 7.3 139 1.000 0.0400 3340-3353 30 100 100 30 100 100 30 100 100 0.22 5.4 140 0.650 0.0414 3354-3364 30 100 100 30 100 100 30 100 100 0.36 8.7No IJ.V. recordings available of run 141 -152.
28
Reference signal.
Reference signal.
2 times a breaking wave.
3 times a breaking wave.
Free oscillation. Free oscillation. Free oscillation. Jack-up No 2. Wave Excitation iii Irregular Waves.
Run spectrum counter range of strain gauge meters for: reading
no no £ of tape number:
A A. A C, C
(-) (Hz) 091/125
()
(i2)(i)
(ii)
()
(ji)
(ii)
(ii) (ii)1236-1282 141 12 0.750 1283-1471 30 100 100 30 100 100 30 100 100 142 12 0750 1472-1661 30 100 100 30 100 100 30 100 100 143 12 0.750 1662-1845 30 100 100 30 100 100 30 100 100 144 13 0.850 1845-2033 30 100 100 30 100 100 30 100 100 145 13 0850 2034-2223 30 100 100 30 100 100 30 100 100 146 13 0.850 2224-2432 30 100 100 30 100 100 30 100 100 tape no 091/ 133 0000-0030 147 14 0.950 0033-0235 30 100 100 30 100 100 30 100 100 148 14 0.950 0237-0423 30 100 100 30 100 100 30 100 100 149 14 0.950 0424-0607 30 100 100 30 100 100 30 100 100 150 12 0.750 0608-0792 30 100 100 30 100 100 30 100 100 151 13 0.850 0796-0981 30 100 100 30 100 100 30 100 100 152 14 0.950 0981-1168 30 100 100 30 100 100 30 100 100 153 154 155
A nominal wave amplitude of 0.060 meter could not be obtained in this frequency range. Free oscillation. Free oscillation. Free oscillation. Free oscillation. Transient response. Transient response. Reference signal.
Highest possible wave.
Jack-up No 2-M.
Wave Ezcitatini
in Simple Regular Waves
-Run wave counter range of strain gauge meters for: XAa
reading
° £
a of tape A A A1 B B B1 C C C XAa a
number:
(Hz) Cm) 091/133 (ii)
(ji)
(p)
(i)
(ji)
(i)
(ii)
(ji)
()
Cm)(-)
156 157 158 159 160 0.775 1169-1176 30 100 100 30 100 100 30 100 100 161 0.700 1177-1182 30 100 100 30 100 100 30 100 100 1182-1224 162 0.700 0.0300 1224-1232 30 30 100 30 30 100 30 30 100 0.0043 0.16 163 0.800 0.0290 1233-1244 30 30 100 30 30 100 30 30 100 0.0026 0.09 164 0.900 0.0295 1245-1255 30 30 100 30 30 100 30 30 100 0.0017 0.06 165 0.900 0.0280 1257-1267 30 30 100 30 30 100 30 30 100 0.0016 0.06 166 0.500 0.0245 1268-1278 30 30 100 30 30 100 30 30 100 0.0065 0.26 167 0.500 0.0318 1279-1292 30 30 100 30 30 100 30 30 100 0.0083 0.26 168 0.600 0.0292 1293-1303 30 30 100 30 30 100 30 30 100 0.0058 0.20 169 0.400 0.0314 1304-1314 30 30 100 30 30 100 30 30 100 0.0043 0.14 170 0.300 0.0240 1315-1325 30 30 100 30 30 100 30 30 100 0.0017 0.07 171 0.525 0.0312 1326-1337 30 30 100 30 30 100 30 30 100 0.0093 0.30 172 0.450 0.0370 1338-1348 30 30 100 30 30 100 30 30 100 0.0112 0.30 173 0.500 0.0450 1349-1359 30 30 100 30 30 100 30 30 100 0.0153 0.34 174 0.550 0.0485 1360-1370 30 30 100 30 30 100 30 30 100 0.0121 0.25 175 0.475 0.0432 1371-1381 30 30 100 30 30 100 30 30 100 0.0155 0.36 176 0.300 0.0225 1381-1393 30 30 100 30 30 100 30 30 100 0.0015 0.07 177 0.700 0.0413 1394-1407 30 30 100 30 30 100 30 30 100 0.0052 0.13 178 0.700 0.0190 2799-2810 30 100 100 30 100 100 30 100 100 0.0031 0.16 179 0.600 0.0202 2812-2825 30 100 100 30 100 100 30 100 100 0.0047 0.23 180 0.800 0.0220 2827-2837 30 100 100 30 100 100 30 100 100 0.0020 0.09 181 0.500 0.0168 2838-2849 30 100 100 30 100 100 30 100 100 0.0030 0.18 182 0.550 0.0195 2850-2861 30 100 100 30 100 100 30 100 100 0.0055 0.28
30
The second strain gauge meter marked here by D, was used to measure the forces XD at the top-side fixed platform due to the wave excitation. The platform was fixed by means of a double cardanic coupling mechanism.
Reference signal. Jack-up No 2-H. Wave Forces in Simple Regular Waves.
Run wave counter range of strain gauge meters for: XDa
reading
XDa
-no f
a on tape A Dx A5 8x 6y B5 C Cy C
number:
(Hz) (m) 091/133 (ji)
()
(it)
(j) (ii) (j)()
(ii) (ji) (N) N/rn183 0.500 0.0198 1473-1485 30 100 30 30 100 30 30 100 30 0.12 6.0 184 0.600 0.0210 1486-1496 30 100 30 30 100 30 30 100 30 0.13 6.2 185 0.700 0.0198 1497-1507 30 100 30 30 100 30 30 100 30 0.13 6.4 186 0.800 0.0210 1508-1519 30 100 30 30 100 30 30 100 30 0.13 6.2 187 0,400 0,0182 1520-1530 30 100 30 30 100 30 30 100 30 0.09 5.0 188 0.300 0,0205 1530-1540 30 100 30 30 100 30 30 100 30 0.08 3.9 189 0.600 0.0365 1540-1552 30 100 30 30 100 30 30 100 30 0.26 7.8 190 0.700 0.0485 1553-1563 30 100 30 30 100 30 30 100 30 0.39 8.0 191 0.400 0.0300 1564-1574 30 100 30 30 100 30 30 100 30 0.18 5.9 192 0.450 0.0365 1574-1583 30 100 30 30 100 30 30 100 30 0.26 7.2 193 0.550 0.0378 1584-1594 30 100 30 30 100 30 30 100 30 0.37 9.8 1594 -1599 194 0.550 0.0383 1600-1610 30 100 30 30 100 30 30 100 30 0.37 9.7 195 0,650 0.0405 1611-1621 30 100 30 30 100 30 30 100 30 0.37 9.2 196 0.600 0.0368 1622-1632 30 100 30 30 100 30 30 100 30 0,37 10.1 197 0.700 0.0383 1633-1643 30 100 30 30 100 30 30 100 30 0.39 10,2 198 0.800 0.0400 1644-1655 30 100 30 30 100 30 30 100 30 0.39 9.8 199 0.500 0.0323 1656-1666 30 100 30 30 100 30 30 100 30 0.27 8.6 200 0.900 0.0430 1667-1677 30 100 30 30 100 30 30 100 30 0.30 7.1
It may be noted that the tabulated maximum
a values, derived from the U.V. recordings,
are approximate values only.
No IJ.V. recordings available.
1 cm c 0.5 cm on UV.
1 cm ( = 0.5 cm on U.V. 1 cm = 0.5 cm on U.V.
1 cm ç = 0.5 cm on U.V.
1 cm = 0.5 cm on U.V,
2 times a breaking wave. Jack-up No 2-H. Wave Excitation in Paired Regular Waves.
Run wave counter range of strain gauge meters for: reading
no f max l"a of tape A A A Bx B B C C C
number: (Hz) (m) 091/133 (p) (j)
()
(&)()
(ii)()
(p) (p) 201 0.510/0.596 0.0350 1672-1682 30 100 100 30 100 100 30 100 100 202 0.510/0.596 0.0500 1683-1693 30 100 100 30 100 100 30 100 100 203 0.510/0.596 0.0670 1694-1705 30 100 100 30 100 100 30 100 100 204 0.500/0.586 0.0350 1706-1718 30 100 100 30 100 100 30 100 100 205 0.500/0.586 0.0500 1719-1730 30 100 100 30 100 100 30 100 100 206 0.500/0.586 0.0610 1731-1741 30 100 100 30 100 100 30 100 100 207 0.450/0.536 0.0320 1742-1751 30 100 100 30 100 100 30 100 100 208 0.450/0.536 0.0440 1752-1763 30 100 100 30 100 100 30 100 100 209 0.450/0.536 0.0570 1764-1778 30 100 100 30 100 100 30 100 100Jack-up No 2-H. Wave Excitation in Irregular Waves.
Run spectrum counter range of strain gauge meters for: reading
no no f of tape number:
A
A A B),B C C C
(-) (Hz) 091/133 (ji) (ii) (ii)
()
(p)(t)
(ji) (i) (i)210 12 0,750 1779-1967 30 100 100 30 100 100 30 100 100 211 12 0.750 1968-2160 30 100 100 30 100 100 30 100 100 212 12 0.750 2161-2330 30 100 100 30 100 100 30 100 100 213 16 0.650 2331-2520 30 100 100 30 100 100 30 100 100 214 16 0.650 2520-2709 30 100 100 30 100 100 30 100 100 215 16 0.650 2709-2899 30 100 100 30 100 100 30 100 100 216 17 0.550 2899-3083 30 100 100 30 100 100 30 100 100 217 17 0,550 3084-3270 30 100 100 30 100 100 30 100 100 218 17 0.550 3271-3471 30 100 100 30 100 100 30 100 100
Run no 219 was a testrun for static load measurements only.
32
Static Load in i-Direction on Platform.
Jack-up No 2-N. Jack-up No 2. Run X XA XC Run X XA XC no (N) (m) (m) no (N) (m) (m) 220 0.000 0.0000 0.0000 221 0.000 0.0000 0.0000 0.195 0.0140 0.0120 0.195 0.0108 0.0065 0.390 0.0255 0.0213 0.390 0.0185 0.0149 0.590 0.0378 0.0310 0.590 0.0293 0.0238 0.785 0.0500 0.0404 0.785 0.0385 0.0310 0.980 0.0593 0.0468 0.980 0.0495 0.0400 1.175 0.0535 1.175 0.0600 0.0475
Free OsciUation Tests
Run Model Mode of oscillation
no no 222 2 x-direct ion 223 2-N x-directjon 224 2 x-djrection 225 2-N x-direction 226 2-N y-direction 227 2 y-direction 228 2-M y-direction 229 2 y-direction
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