Wave and ship motion measurements a board HNLMS Tydeman during LEWEX

(1)

Wave and shipmotion measurements

aboard HN1MS .Tydeman during

LEWEX, March 1987

J. Ooms

Reportno.: 761

September 1987

Deift Un!venity of Tochnology

Ship Hydromechanics Laboratory Mekelweg 2

2628 CD Deift The Netherlands

(2)

page

1- Introduction

1 2 - The sh.i p 1

The instrumentation

2

The experiments

3

Future work

5

Acknowledgements

5

References

6

Results of March 14th

7

Results of March 15th

23 10-Results of March 16th

36

11-Results of March 17th

58

12-Results of March 23th

71 13-Results of March, 2:4th

94

(3)

1-Introduction

In March 1987 the Sh.iphydronautics group of the Delft University

of

Technology

participated

in

the

Labrador

Extreme

Wave

eXperiment

(LEWEX)

in

the

Labrador

sea

off

the

coast

of

Newfoundland.

This experiment was initiated and coordinated by

the NATO research groups RSG1 and RSG2.

_{Participants for this}

experiment came from Canada,

France,

Germany, Holland, Norway,

Spain

and

the

USA

The

objectives

of

the

experiment

were

threefold, namely:

1-to

check

the

results

of

mathematical

wave-prediction

models by measuring the actual co.nd:itions on- sit.e

2-to

compare

the

performance

of

different wavemeasuring

devce.s and data-analysis techniques with an emphasis

on

di,rectional. performance

3-to do full-scale shipmotion measurements.

The experiments were performed from two ships, the Dutch oceanic

research vessel HN1MS Tydeman and the Canadian research vessel

CFAV

Quest.

Also,

for

the

wave

measurements

two

airplanes

par tic ipated.

The main interests of

the

Del.ft

_{Shiphydronautics group during}

this experiment were the full-scale shipmotion measurements and

the comparison of the Deift wave buoy with other wavemeasuring

devices.

The

shipmotion measurements

can be

considered

as a

sequel to earlier measurements aboard HN1MS Tydeman [1],

[2] and

recent model tests

(not yet reported)

.

It was hoped that

the

LEWEX experiment would

give

the opportunity

to

do

additional

testing

in

higher

waves

then

met

on

occasions..

Especially interesting was the fact that directional

wave data.

was available during LEWEX from several directional wave buoys.

On all, earlier occasions but one, wave directional data consisted

only of visual estimates. At the one occasion that directional

data was available

(see

[1] )

the weather conditions were not

particularly suitable for the tests.

This report is a collection of ship motion data gathered

during

the experiments. Its purpose is to

serve as a basic factfile for

a further analysis. The wave measurement data gathered during the

full scale testing is included. A companion report [3]

contains

the complete results of the Delft wave buoy measurements during

LEWEX including the data gathered when no ship motion tests

were

being

conducted.

Additional

information

about waves

and wave

directions can also be found in

[4] .

This reference gives very

valuable data for the analysis of the full scale

measurements.

For the near future a further analysis of the data is envisioned

using modern model identification techniques.

2-The ship

The main particulars

body plan

is

shown

passive anti-rolling

except

for

on.e

run.

of HN1MS Tydeman are given in table 1.

The

in Figure

1

The

ship

is

equipped with

a

tank which was empty during the experiments

In

table

2

some calculated and measured

draughts of the Tydernan are given for a few days.

Filling the

anti-rolling tank (23.5 tons) causes the draught to increase by

4cm fore and 1cm aft.

(4)

T:able 1

Length over all

Length on th.e waterline

(CWL)

Maximum breadth

Dr'augh',t (C.WL)

Weight of displacement (CWL)'

Maximum sp:eed

Service speed

Table 2

Date

(march)'

11

24

11

27 P1 ace.

3-The instrumentation

During the tests use was 'made from a number of

sensors mounted

aboard of the ship

Roll and pitch angles were measured using

a

vertical. 'gyroscope. This gyroscope also stabIlized

a platform on

which

were

mounted three

servo :.acce]-erometers

measuring

the

surge,. sway and heave accelerations. These sensors were situated

in laboratory 6 approximately lm aft of.the gr.avimet.er. foundation

in the gravimeter room.

This foundation sits

in the center of

gravity of

the

ship.

so

the accelerations measured are almost

pure,

th.a,t is.,

contain

_hardly

any

contributions

due

to

centripeta1 'and rotational accelerations.

Another acceler'omete'r on a stabilized platform

_{was mounted in a}

forward position just behind. the forepeak bulkhead. This

sensor'

measured the vert:ical, accelerations at that position.

The registration equipment was located in laboratory 3

were also

a

heading

gyroscope

was'

installed.

This

sensor measured

the

deviations from a straight' course

uring the runs. However thes.e

pr.oved

to be negligibly small

so

this

data was not processed

afterwards.

Draught

Delta

GM

Comm.

fore.

aft

(m) (rn)

(tons)

(in) '90.15 in

84.50

rn

14.40

in

4.75 in

2977

tons.

15 knots

1.2 knots'

-calculated values are with anti-rolling tank empty

-measured values

are

with ant:i-rolling tank filled

<23...5

tons)

and

in

salt water with

temperature approximately

0

Celsius.

St.Johns

4.54

493 2968

1.47 c'alc.

at sea,

4 . 48 4. 88

2915

1.. 31 caIc.

St.J.ohns' 4.53'

4.98

me as.

(5)

Outside the ship the Deift wavebuoy was deployed during the tests

together with two or more other buoys of which several had

wave

directional capabilities. in comparison with the other buoys the

Deift buoy

is

_{a relatively simple device that only gives wave}

height data.

_{More information about this buoy can be found in}

[5].

4-The experiments

A total

of

32

ship motion test runs

of

30.

minutes' each were

performed from march 14th unti.l march 25th. 'Of these tests

twenty

were run at low speeds between 3.5 and 7 knots.. The remaining 12

runs were performed at speeds between 11 and 16 knots together

with CFAV Quest in an attempt to do some slamming tests for which

this

ship was

instrumented. HN1MS Tydeman was

'to

serve during

thes,e

tests

a's

an observer sailing alongside

_th.e

_{CFAV Quest.}

Unfortunate.ly

the

weather

conditions

proved

too

light

fo'r

slamming to occur. Actually

th'e weather conditions were rather

light during most of the

_{tests with often very confused seas}

which was not ideal for seakeeping tests..

At

t'he

_{days that tests were performed it was tried to sail}

_a

number. of runs following one of two preset patterns. The first

pattern 'had been used 'before [2] and w'as to b.e sailed at low ship

speeds.

_{T.h'e second pattern was to be sailed at hi.g'h sp.eeds du'ring}

the intended slamming excerc,is'es

_{togeth.er with the CFAV Quest.}

Howeve.r due to

th:e

_{long duration of the daily wave measurements}

including deployment and recovery of

th'e

wave buoys the

first'

pattern of

8.

runs

was

not'

sailed completely at any

_d'ay.

_The

second pattern of 6 runs was completed twice. Anot'h'er

_difficulty

was due to the confused seas. When starting a pattern the

_average

wave direction was d'etermine.d visually and at som'e occasions this

estimate afterwards proved to be wrong when t'he results

o.f t'he

WAVEC and WAVESCAN directional wave buoys be.came available.'

_{So in}

these

cases

the

orientation

of

the

sailed

pattern

was

n'ot

c.o'rrect.

This

does

not

mean

that

th'e

runs

are

unusable but

stresses the importance of

go.od directional information from a

suitable objective source such

as a directional wave buoy duri.n.g

full scale measurements..

From all

runs

_{the Estimated Power Density Spectra (EPDS) have}

been calculated

for

the

roll,

pitch,

heave,

f'orward vertical

motion

an'd

wave

signals.

.Surge,

sway

and'

_yaw

signals

were

measure,d but will onl.y be processed when the need arises. The

computed

_{spectra are included in this report. It shou1d' be noted}

that the significant value of t'he w.aveh'e.igth in the

wave spectra

must

be

multiplied by

2 as.

indicated by

a

footnote

on

the

spectra.

'This i.s a

result of

th'e

different definition of

the

waveheight as com.pared with the o'ther signals. Other information

listed

with

the

spectra

are

six

statistical

moments

of

t.he

spectrum calculated from the spectrum using the formula

Mi

S(çi))dW

i = 0,1,.. .,5.

Furthermore the length of the run and the

_{upper and lower cut-off}

f-r--equ'e-nc-i-es--o-f _{th'e--i-g-ita-l-b;a-nd---p'a-s_f_j_lter,} _{t-Ke--s-a-mp-l-e} _{i-n-t-e-r-v-a-1}

(6)

and

the

runnumber are

given along with

a

few more

technical

entries. The runnumbers consist of 10 digits of

_{which the first 2}

digits indicate the day of March that the

run was executed. The

next 4 digits are the start time of the

_{run and the last 4 digits}

the stop time of the run. Al times

are GMT.

The experimental conditions of the

runs are included

n tables,

one

for

each

day.

These

tables

also

contain

the

mean wave

direction data, both the visual (vis.) estimates

and the WAVEC

buoy (WAy.) result drawn from

_reference

_[4].

_{The relative wave}

direction

is defined as

- 00+

180°

-where

00 mean wave direction (coming, from)

= ship's c:ourse.

Pw =

O°corresponds to following

_{waves and consequently p}

1800

represents the head wave direction. As should be

_{clear from th'e}

preceding the visual estimates for the

_{wave direction are raw}

estimates only. The mean direction from the

_{WAVEC results is more}

accurate but one must nevertheless realise that

_{this is just an}

average and for a further analysis one must consider

_{the complete}

directional, information set available from the WAVEC. Information

about the interpretation of the WAVEC

_{data can be found in}

_[6]

and [1].

The wind speed and directional data

_{came from the ship's sensors.}

It

is difficult to attach

_{an accuracy to these data as}

_{it was}

observed

that

the

results

are

somewhat

influenced

by

the

superstructure of the ship at different

_courses.

The main results of the spectra such

_{as significant value, mean}

period and the period of the maximum value

_{of the spectra are}

included in tables. Here, the significant values and mean period

of the signals with the exception of the waves are defned as

Hl/3

2 MO,

Tl

2

MO/Mi

For the significant waveheight the

_{definition of H1/3 is}

Hl/3 - 4 MO.

It

_{is worth noting that from the :highet moments of the spectra}

which are

listed alongside

the

_{spectra one can calculate the}

significant values

and mean periods

of

the

first

and second

derivatives of the

process:ed signal.

For

th'e fir.st

derivative.

this can be done by replacing MO by M2

_{and Ml by M3}

_{in the}

formulas for the significant value and

_{mean period given above.}

Identically, for the second derivative one replaces MO by M4 and

Ml by M5. One should keep in mind however

_{that the values found}

are the values for the filtered signal. Signal

_{component:s outside}

the filter band

(

0.3 rad/s <

< 2.94 rad/.$) are excluded. Also

the

normal

statistical

_{considerations}

_of

_spectral

_estimation

(7)

5-Future work

It

is

the intention to

ana.lys.e

the

results of

the seakeeping

tests iii

a. way differing from the past. The method used until now

can

:b.e

briefly described as

follows (assuming directional data

available). First the wavespectrum was split in

a number of bands

a'nd

_{the mean direction and spread of the waves}

_{in each 'band}

determined. A certain distribution function for the 'w'aved'irection

was assumed

-

mostly a cosine squared one

-

and the information

was fed into

a. computer programme which calculated the response

in each frequency band and finally superimposed the results.

T:h'e

final result of these calculations was compared with the measured

results.

For the

LEWEX

results another way of analysis

is planned. Use

will be made of modern' model identification techniques. The basic

idea is to adapt a certain mathematical mo4el in su'c'h

a way that

a

certain'

error.

criterion

is

minimised.

This

is

basically

achieved 'by

feeding the

input

of the real system also .into

a

mathematical

rnod'e.l

of

the

system.

The.

d,iff'erencs between ' the

outputs

o.f the real system and the model is used to generate

a-mostly quadrati,cal

-

error criterion. By adjusting the parameters

of the model

it

is tried to minimize the average value

o:f

the

error

measure.

Though' basically

simple many

difficulties may

arise

in practice due to

for example

inc;ompl.ete

or

inaccurate

data,, parameter se'nsitivit:ie,s and so on. However the techniques

have been used before in related fie.lds

_{a.nd the general outlook}

is promising.

6 -Acknowledgements

The preparatio'n and execution from the

LEWEX

experiment would not

hav.e been possible wit.hou't

_{t'he cooperation of many people.. With}

so many of them we will refrain fr.'om mentioning names and extend

o.ur, gratit.ude

t.o

all who were instrumental

in making

_LEWEX _a suc.ces.

However a special hono.ur'abl.e

mention seems appropriate

for the crew o

HNi'MS. Tydeman which 'contributed so greatly t'o the

success of

.LEWEX

by their cr,aftmanshi.p 'and hospitality. It

was a

real pleasure to work with them.

,

(8)

7-References

[1]G'erritsma J.,

Wave- and ship motion measurements Hr.

Ms.

"Tydeman" trIals

1982,

Deift

Ship-hydromechanics

Laboratory

report

no.

593,

July

1983.

[2]Gerritsma J..,

A. Versluis,

Vergelijki.ng van berekende en gemeten scheepsbewegingen van

Hr. Ms. "Tydeman"

(

Dutch),

Deift Ship-hydromecihanics Laboratory report no. 59.3-A, July

1983..

[3-JOoms J.,

Wave measurements with the Del-ft w-a-vebuoy aboard HN1MS Tydeman

during. LEWEX, March 1987,

Delfst Hydr'o:nautics group report no. 760, september 1987.

[4]Gerrltzen P.L.,

LEWEX WAVEC (Hr.. Ms. Tydeman),

Dataw-ell N.V.

,

May 1987

[5]B.uit'enhek M.

,

J. Ooms,

An updateddesign of a disposable wave

_buoy,

Deift Shiphydromechanics Laboratory report

no. 463, May 1978

[6]Vlugt A.J.MI v-an der, A.J. Kuik, L.H. Holthuijsen,

The WAVEC directional buoy under development,

Symposium Directional Wave Spectra Applications '81,,

Berkeley, 14-16 september 1.981

(9)

8-Results of March 14th

(10)

TABLE 14A

Results of seakeeping experiaents of 14th March * Anti-roll tank full

TABLE 148

Environaental conditions during tests of 14th March Runnuiber Relativ.e

t.avedlr.

Speed Roll Roll Roll Pitch Pitch Pitch Heave Heave Heave Bo Bo Bou

anpi. Tav. Ip. aspI. Tav. Tp. aspI. Tav. .Tp. aspI. Tav. Tp.

Have Have Have aspi. lay. . Tp

vis./UAV. 1/3 1/3 1/3 1/3 1/3

-(deg.) (ko.) (deg.) (s) (sI (deg.) (s) (s) (1) (s) . j(s) (a) Is) (5) (a) Is) (s)

1413451415 182/- .3.8 4.46 9.83 10.5 3.98 7.99 9.7 1.64 9.13 10.5 3.28 .8.10 10.5 3.73 8.69 11.4 1414301500

2l6l-

3.6. 4.95 10.27 10.5 .3.70 7.50 7.4 1.44 8.95, 10.5 3.01 7.77 7.90 4.28 .8.38 11.4 1414641715 246/- 3.5 8.15 10.82 11.4 3.39 7.13 7.4 1.75 9.14 11.4 3.06.7.69 7.90 4.54 7.89 10.5 1417251755 2771- 4.4 7.31 10.70 11.4 2.90 6.97 7.9 1.53 8.79 11.4 2.62 7.48 7.90 4.06 7.80 10.5 1418301850* 276/- 4.7 5.96 10.93 11.4 2.98 .7.15 7.4 1.74 9.21 11.4 2.79 7.79 11.4 4.06 8.30 10.5 1413451415 29 164 3.8 152 5 166/-1414301500 29 130 3.6 154 6 166/-14164517 15 29 100 3.5 170 6/7 166/-1417251755 '29 69.5 4.4 169 6 166/-1418301850 19 70 4.7 .178 5 166/-Runnu!ber Length Ship Ship Hind Hind Slave

of run course speed dir. vel. dir vis./HAV.

(11)

8. Os 00 4. Os 00 0.Os 00

a

0

Angular Frequency (rod/c)

a

0

Angular Frequency (rad/s)

I OELFT SHIPHYOROMECHANICS

'LABIJRA TBRY

0

C';

[IJELFT SHIPHYDRUMECHANICS

LABORATORY

J

Ship a Hr. Me. Tydemon

Dote march 14th 87 Run 1413451415 Si gno1 a roll

Sign.. vai.. a 4. 463e 00 dog *

Period of peak: 1. USDa 01 s

Average periodi 9. 832e 00 s

Fl I ter OMEGAhIgh a 2. 94 rod/s

Number of weights: 85

Cal ibrot iorafactor: 9. 900 deg/V

* multiply by2 for-waves

Statistical moments of spectrum.

M5= 2.174e00

Length of run a

29D0 minutes

Sample interval : 1. 000 s

Filter OMECAIow a 0.30 rod/s

Filter OMEGAh,gh : 2.94 rod/s Number of weights: 85

Calibrotionfactor: 4.950 deg/V * multiply by 2 for waves

M0

4.979900

2.Oe 01 H 1 3. 182e 00

M2

M3=

2.OBBeOO

l.416e00

1.Oe 01 M 4 l.005s 00 M 5 7. 649a-01

0. Os 00 _{Length of run} _a _{29. 00 minutes}

a

0

0 a

0

Sample interval : 1.000 s

d

_{Filter OMECAIow} a 0.30 rod/s

M0

P4 1 M 2

MS

M 4 = 3..965e00 3. 118e 00 2. 59'7e 00 2.297o 00 2. 164e 00 Signal: pitch

1.6e 01 Sign. vol. a 3. 982e 00 dog *

Period of peak: 9. 692e DO s

Average period: 7.989e 00 s 1.2e 01

Power spectral density Ship a Hr.Ms. Tydeman

(deg2s/rad) Date a march 14th 87

2.Os 01 Run a 1413451414

Power spectral

density

(deg 2s/rad)

5.Oe Cl

4. Os 01

(12)

Power spectral density Cm 2s/rad) 5. Os 00 4.Oe 00 3. Os. 00 2.Os 00 1.Oe 00

}DaFT

SHIPHYDROMECHANICS LABORA TORY

_I

Power spectral density Cm 2s/rad) I.Oe 01 8. Os 00 6. Ce 00 4. Os 00 2 Os 00 0. Os 00

0

Angular frequency (rad/s)

0

0 -I

Angular

frequency (rodi's)

0

-o

N

DEL FT SHIPHYLJROMECHANICS LABORA TORY

Ship : Hr.Ms. Tydemon

DatG : march 14th 8-7

Run : 1413451414 Signoli heave

Sign. vol. : 1. 645e 00 m *

Period of peak: 1,. 050à 01 s

Average perlodi 9. l29e 00 s

StatistiOal moments of spectrum P4 0 6. 764e-01 M j: = 4. 656e-01 M 2 3. 377e-Dl K 3 2. 613e-01 :M 4 = 2. 190e-0l M 5 = 2.027e-0l

Length of run s 29. 00 minutes

SampLe intrval : 1.000 s

Fl 1 ter OP4ECAl ow : 0. 3U rod/s

Fl 1 ter DP4EGAhigh a 2. 94 rod/s

Ca1ibrationFoctori 6.937 m/Vs2

* mci-1 tipty by 2 For -wovas

Date : march 14th 87

Run : 1413451414

Signal: vert. dispi. bow

Sign. vol. : 3.277e 00 m *

Period of peak: 1. O5Qe 01 s

Averagg period: 8. 1!Ole 00

Stat-I stical moments of spectrum.

MO

2.684e -00

Ml

2.082abD

M 2 1. 713e 00 M 3 1. 503e 00 M 4 = 1. 4i1e 00 M 5 1. 423e 00

Length

of run i 29. 00 minotes

Sample Interval : 1. 000 s:

Filter OMEGAIow s 0.30 rod/s

Filter OMEGAhigh : 2.94 rod/s

Number of weightss 85

Ca-l-ibrotiorifoctor: 6. 937 m/Ve2

mul tip-l-y by 2 For waves

0

0. Os 00

0 d

(13)

Power epectral denaity (m2e/rad) 5. Oe 00 4. Oe 00 3. Oe 00 2.Oe 00 1.Oe 00 0. fle 00

a

Angular frequency (rod/a)

DELFT. SHIPHYORBMECHA'NICS LABORA TORY

Ship Hr.Ms. Tydaman Data : march 14th 87

Run 1413451413 Signal: woveheigth

Sign. vol. : l.863a 00 m *

spectrum.

Length of run : 28.00 minutes

Sample interval s 1.000 a

Filter OMECAIow : 0.35 rod/s

Filter OMEGAh13h s 2.94 rod/s Number of weights: 85

Calibrotionfactors 1. 741 m/Vs2 * multiply by 2 for waves

Period of peaks 1. 145e 01 a

AvGroge periods 9. 696e 00 a

Statistical moments of M 0 9. 673e-01 M I 6. 274a-01 M 2 5. 337e-01 M 3 5. 603a-01 M 4 7. 353e-01 M 5 = 1. 166e 00

a

D ('j

a

-I

(14)

O.Oe 00,

a

C 8. Oe 00' 6.Oo 00 4.De 00 2.,Oe 00 '0. 'Oa 00

a

0 d

a

0

Angular frequency (radfs)

0,

0 IDELFT SHIPHYDROMECHANICS LABOPA TORY

L

0

N

flEL FT SHIPHYDROMECHANICS

LABORA TORY

1 e)

Ship : Hr. Ms. Tydeman

Dote : march 14th 87

Run : 14143014:59

Signal: roll

Sign. vol., r 4. 954e 00 deg *

Period of peak: 1. 0509 01 s

Average period: I. 027e 01'

Length of run : 29.00 minute Sample interval : L 000 s

Fiter OMECAIow

: 0.30 rod/s Filter CMECA'high : '2. 94 rad/s

Number 'o weights: 85

Cal'iibrati:onfactor: 9. 900 deg/V

* multiply by 2 for waves

Signal: pitch

Sign. vol. : 3. 698e :00 deg * Period of' pok:' 7. 412e 00 s Average period: 7. 499e 00 s

Statistical moments: of spectrum.

MD

3. 4l9e 00' M 1 2. 865e 00

M2= 2.5l4e 00

M 3

2.1le 00

'M 4 = 2. 225e, 00 M 5 = 2. 230e 00

Length of run 29.00 minutes Sample interval s 1.000 '

Filter OMEGAlow,

:0.30 rod/s

'Fi-l'ter. OMEGAhigh : 2. 94 rod/s

Co1iraor,f0ctor: 4. 950 deg/V * multiply by 2 far waves 3.09 01

Statistical moments of spectrum. M 0 = 6. 135e 00 M 1 =

3.753900

2.Oe 01

M2

2.358e0C

M 3 1. 525e DO 1.09 01 :14 4 = l.012e 00 14 5 = 6. 5399-01

Power spectral density Ship : Hr. Ms. Tydeman

(deg - 2s/rad) Date : march 14th 87

1.09 01 'Run : 1414301459

Power spectral dens,i t: (deg' 2s/rad)

5.Oe Dl

(15)

Power spectral density (m2s/rad) 2. Os 00 l.6s 00 1.2e 00 8. Oe-01 4. Os-Ol 0. Os .00 ci ci ci ci

a

-4

Angular frequency rod/s)

OELFT SHIPHYDROMECHANICS LABORA TORY

Power spectral density (m.2s/rad) 1.Oe 01 8. Os 00 6. Os 00 4. Os 00 2. Os 00 0. Os 00 ci ci ci

a

('I

a

-4

Angular frequenc.y (rad/s)

DEL.F T SHIPHYDROMECHANICS LA 8O1A TORY

[12) Ship Dote i Run : Signals Hr. Ms. Tydemon march 14th. 87 141 4301 459. heave Fi

itGr

Number l.000e 00 3. 921 e-0l of run interval s OMEGA low OMECAhigh of weights:. Cal ibrationfactor:

29. 00 minutes 1.,000 s 0. 30 rod/s 2. 94 rads 85

6.937 m/Vs2

MO =

2. 265e 00

Ml =

l.830e 00

M2

1. 535e 00.

M3 =

1. 299e .00

Sign. vol. 3. O1Oe 00 m *

Period of peaks 7. 875e 00 e

Average period: 7. 774e 00 S

M4 =

M5=

Length a a Samp I e ('I Fi i ter Sign. vol. : 1!. 4389 00 m * Period of peaks 1. 050e 01 S

Average period: 8.9545 00 s Statistical moments of spectrum. M 0 - 5. l7be-Q1 M 1 3.628e-Q1 M 2 2.541e-01

M3

. l.540e-Ol M 4 = 6 037e-03 M 5 = -3. 034e-0,l

Length of run 29. 00 minutes

Sample interval 1.000 S

Filter OMECAIow 0. 30 rod/s

Filter 'DMECAhigh : 2. 94 rod/s

Cal ibrationfactor: 6.937 rn/Vs'2 * multiply by 2 for waves

Ship Hr. Ms. Tydeman Date march 14th 87 Run 1414301459 Signal: vert. di.sp1.. bow

(16)

Power spectral density (m2e/rod) 5. 0Q 00 4.Os 00 3.. Os 00 2. Os 00 1. Os 00 Q. Os: :00

Q

0

-4

Angular frequency (radts)

0

0 J:DELFT SHIPHYDROMECHANICS LASORA TORY

Ship , Hr. Me. Tydemarr

Date a march 24th 87

Run a 1414301500

Signal: wavehaigth

Si:gn. vol. t 2. 1 40e 00 m *

spectrum.

Length

of

run a 30.00 minutes

Sample interval a 1,000 s

Filter OMEGA1ow : 0.35 rod/a

Filter OMECAhi9h a 2. 94 rod/a

Col:ibrationfactora 3. 536 m/Vs2 multiply by 2 for Waves Period of peak: 1.. 145e 01 a

Average periodi a 380e 00 s

Stat ieti:cal momenta

of

H 0

I.

145e 00 M I 6. 586e-01 M 2 7. 42ge-ol M 3 7. 808e-01

M4

1.024e00

M5

1.640g00

(17)

[LJELFT SH1PHYDPOMECHANICS LABOPA TORY

Power spectral density (deg 2s/rod) 1.Oo 01' 8. Os 00 6. Os 00 4. Os 00 2. Os 00 1

1 JOELFT

HIPHYOROMECHAWIC'S

LAORA TORY

14

Data i march 14th '87 Run : 141'645i714'

S'igrial: roll

* multiply by 2 for 'waves

Ship : Hr.Ms. Tydeman

DàtG .1 march 14th :87

Run : '14l64517'1'4

Signal: pitch

Sign vol. . 3. 3930 00 dog *

Period of peak: 7. 41'2e 00 s

jivorage period; 7. l29e 00 s

Stat!istica'l moments of spectrOm

Fl

1 tor OMEGAh'igh t 2. 94 rod/s

Number of' weights, 85

Calibrati.onfactor: 4.950 dog/V * multiply by 2 for waves

Sign. vol. : 8. 148e, 00 dog *

Period of peak: 1. 1450 01 s

Average period: 1. 082e 01 s

M 0 1. 66Dm 01 8.Oe 01

Ml

9.640e 00

M2

5.726e00

M 3 3. 513e 00 4. Os 01' _{M 4} _{2. 280e 00}

M5

1.665e 00

0. Os 00

I'j

Length of run : 29. 00 minutes

0

aa Sample interval : 1.000 s

0'

-I

N Filter OMECAlow : 0.30 rod/s

Filter OMEGAh'igh : 2.94 rod/s

Anyu:lar

frecuency (rod/c)

Nuniber of weights: 85

Cal ibrationfdctor: 9. 900 dog/V

MO- 2.878e00

Ml

2.536e DO M 2 = 2. 34ie 00

M3

2.263e00

M4

2.295e00

M 5 = 2. 452e 00

Length of run : 29. 00 minUtes

a

0

Sample interval : 1.000

N _{Fi Itor OMEGA low} : C 30 rod/s

0. Üà 00

0

'Anguror Frec1Uency '(rod/s)

Power spectral density (deg2s/rad)

2. Os 02

1.. Be 02

(18)

4. Os 00

3. 'Os 00' 2. Os, O&

1.Oe 00

0. Oe 00

a

0 PoWer spectral density

(m2s/rad)

5.Oe 00

4. Os 00

3. Os 00

2. Os 00

l.:Oe 00

0'0e 00

0

0 a

I-Ahgular freciJency (rod/c)

0

'-I

Angu'l1or frequency (rod/s)

0

FuEL FT SHiPHYDROMEOHANICS L A BIJRA TIJR Y

0

0 ILELFT SHIPHYOROMECH4NICS

LABORA TORY

15

Sign.

val.

z

1. 755e 00 in *

Period of peaks

1. 145e 01 s

Average peripd4

9. l39e 00 s

Statistical moments of spectrum.

Length of run

,

29. 00 rnirutes

Sample interva'l,

:

1. 000 s

Filter OMEGAlow

s

0.30 rad/s

Fl I tsr 0P?IEGAhghr 2. 94 rod/s

Number of weights: 85

Cal lbratlonfcsctOr, 6. 937 m/Vs2

* multiply by 2 for waves

Ship

s Hr., Ms. Tydeman

Date

march 14th 87

Run s

i4l645l714

Signals vert. dispI. bow

Sign.

vol.

:

3. 058e 00 m *

Poriod of peaks

7. 875e 00 s

Average period:

7. 693e 00 s

Statistical moments of spectrum.

MD

2.338e 00

M I

= 1. 9lIOe DO

M2 =

1.666e 00

M3

l.552e00

M4 =

l545e 00

M5= 1.648900

Length of run

:

29 00 minutes

Samp Js

interval

: 1. BOOs

Filter OMEGA low

:

0. 90 rod/s

Filter OMEGAhigh

2. 94 rod/s

NUmber of weights. 85

Ca'lltbrati'onfactor:

6. 937 rn/Vè2

mu'ltiply by 2 for waves

M 0 =

M 1

M 2

M 3

M 4 =

M 5

7. 700erQ1

5. 294.-01

3. 868e-0'l

3. 018e-01

2. 494e-O'l

2 101 e-0I

Power spectral densi ty

Ship

:

Hr.Ms. Tydman

(m2s/rad)

Date

:

mOrch 14th 87

5. 0Q 00

Run :, 1416451714

(19)

Power spectral dons ity (m2e/rad) 5. Os CO 4. Ca CO 3. Ce, 00 2. Ce 00 1.Oo 00 C. Ce 00 C) C) ci

C)

0 Ship

Hr.Ms. Tydemari Date : march

14th 67

Run : 1416451 715 Signal: wayeheigth Sign.

V10

2o 271a

Period of peaks 1. 050e Average period: 7.689a Statistical moments of

MO

Ml =

M2

M3 =

M4

M 5 Lorigth Samp1a Filter Filter Number

JDELFT SHIPHYDROMEC'HANJCS LABORATORY

l.289e 00 1. 027e00 9. 4Db-Cl 1. 026s 352e 1 j:3e 00 00 00 ofruri : i.itorva1 s OMEGA low : OMECAhIgh : of weights,

Cal ibratloiPact or,

multiply by 2 for waves

00 rn * 01 5 00 S spectrum. 30. 00 minutøs 1.000 e 0. 35 rod/s 2. 94 rod/s 85 3.536 m/Vs*2

(20)

[OELFT SHIPHYDROMECHANICS

LA

DORA TORY

3. Oe 00 2 Oe 00: 1.Oe 00 0.'Oe 00

0 -Q

0 1/

AnguLar frequency (rad/é)

DEL FT SHiP/IYOROMEcHANIcS LABOPA TORY

T7

* mji1ti'ply by 2 for waves

Statistical moments of spectrum. M 0 = 2. 1 IDe 00-M 1 - 1..903e 00 P4 2 1. 796e 00

M3= 1.774e00

M 4 1-. 836e 00 K 5 - 2.0O4e 00

Length of run t 29. 00 mi1nutes

Sample interval : .1OQO s

Filter OMECA1ow a 'Co 30 rod/s

Filter OMECAhigh a 2.94 rod/s Number of weights: 85

Cal lbrotionfactor: 4.950 deg/V * multiply by 2 for waves

8. Og 01 Sign. val. : 7. 308e 00 deg *

Period of peak: I. 145e 01 9

Average period: 1. 069e 0-1 s

6.Oe 01

Statistical moments of spectrum. ?4 0 ' 1.3359 01 4. Og 0:1

Ml =

7.84g9 Do

M 2 4. 712e DO

P43= :2.-862e00

2.Oe 01

_M4

_{1.-666e 00} M 5 = 6. 409e-01

0.09 00 L8ngtI of run : 29. 00 minutes

0

Sarnplf2 interval i 1. 000 s

d

-4

(j

Filter Ot4ECAlow : 0.30 rad/s

Angular frequency (rad/s) Filter OMECAhigh : 294 rod/s Number of weights: 85

Ca1ibrotionfoctor: 9.900 deg,'V

4.09 00 Sign vol. a 2.905e 00 deg *

Per:iod of peak: 7 875e 00 Average period: 6.967e 00 e-Power spectral density Ship : Hr.Ms. Tydeman

(deg2s/rad) Dote : march i4th

5. Cu 00 Run : 1417251754

Signal: pitch

Power spectral density Ship Hr.Ms. Tydeman

(dug 2s/rad) Date : march 14th 87

1.09 0? Run : 141 7251 754 Signal: roll

0

-I

0

N

(21)

Power spectral density (m2s/rad) 2. Os 00 l.6e 00 1.2e 00 8. Os-Ol 4. Os-Ol 0. Os 00

a

I'

N

a

DELFT SHIPHYDRLJMECHANICS LABORA TORY

Power spectral density (m 2s/rad) 5. Os 00

a

C';

L1ELFT SHIPHYOROMECHANICS LABORA TORY

18

Ship : Hr.Ms. Tydeman

Run : 1417251754

Signal. heave

Filter OMEGAIow : 0.30 rad/s

Filter OMECAhi9h 2.94 rod/s Number of weights: 85

Calibrationfactor: 6.937 m/Vs2 * multiply by 2 for waves

Run : 1417251754

Signal: vert. dispi. bow

Sign. vol. : 2. 624e 00 m *

Period of peak: 7. 875e 00 s

Average period: 7. 476a 00 s

M0

l.721e00

M 1 - 1. 447e 00 M 2 l.306e 00

M3

1.273e00

M 4 1.35Be 00

M5

1.636e00

Sample interval 1.000 s Filter OMEGA1ow : 0.30 rod/s

Filter OMEGAhigh : 2. 94 rod/s

Calibrationfactor: 6.937 m/Vs2 * multiply by 2 for waves

M 0 5. Bl5e-01 M I = 4. 155e-01 M 2 3. 203e-01 M 3 2.67le-01 M 4 - 2.411e-0l M 5 2. 350e-01

Sign. vol. : 1. 525e 00 m *

Period of peak. 1. 1450 01 s

4.Oe 00 3. Os 00 2.Oe 00 l.Os 00 O.Oe 00

a

-I

(22)

Rawer spectral density (m 2e/rad) 5. Os 00 4.Os 00 3.Os 00 2.. Os 00 l.De 00

DELFT SHIPHYDROMECHAiVICS LABORA TORY

Ship i Hr.. Ms. Tydeman Oats a march 14th 87

Run a 1417251.755 Signal. wavehoigth.

Stat letical moments of spectrum. M. 0. 1. 033e 00

M 1 9.322e-01

M 2 7. 775e-0l

M 3 8. 674e-01

M 4 1. t61;e 00

M5w 1.823e00

0.09 00 Length of run i. 3 00 mInutes

0

0a Sample interval

1.000e

C

-4 N. Fi I tsr OMEGA low 0. 35 rod/s

Angular frequency Cradle) Filter OMEGAhIgh 2.94: rod/s Number of weIghts, 85

Calibrationfoctor, 1.741 m/Vs2

Sign. vol. 2. 033e 00 m

Period of peak. 1. 050e 01 s

(23)

Power spectral density (deg 2s/rad) 5.Os 01 1.00 01 0.Oe 00

0

8. Os 00 6. Os 00 4. Os 00 2. Os 00 0. Os 00

0

0 IOELFT SHIPHYOROMECHANICS LABIJRA TORY

Power spectral density (deg 2s/rod)

l.Oe 01

0

-4

0 a

0

C)

[OELFT

SHIPHYDROMECHANICS LABURA TORY

20

SI-ip : Hr.Ms. Tydemor

Date , march 14th 87

Run : 1418301950 Signal: roll

anti roll tank filled.

Sign. vol. : 5. 964e 00 deg *

Period of peak: 1. 145e Cl s

Filter OMECAIow : 0.30 rod/s

Filter OMECAhI9h : 2. 94 rod/s

Number of weIghts: 85

Calibrotlonfoctor: 9.900 deg/V * multiply by 2 For waves

Ship i Hr.Ms. Tydeman Date march 14th 97 Run 1418301819

Signal; pitch

Sign. vol. : 2.979e 00 deg *

Length of run : 19. 00 minutes Sample interval : 1.000 s

Filter OP4ECAIow , 0. 30 rod/s Filter OMECAhigh , 2.94 rod/s Number of wei9hts: 85

Calibrationfoctor: 4.950 deg/V * multiply by 2 for waves Period of peak: 7. 412e 00 s

M0

2.219eD0

Ml

l.949e 00

M2

1.800e 00

M3

1.743e00

M 4 1. 769e 00

M5

l.889e00

M0

B.894e00

Ml -

5.11Oe 00

M2

3.067e00

M3

1.947e00

M 4 1.331e 00

M5

1.005e00

K

C)

0

(24)

I-Power spectral dèns:1 ty Cm 2s/rad) 5. Oe 00 4. Og 00 3.Oe 00 2. Oe 00 1.Oe 00 0. Ce 00

0

4. Do 00 3.00 00 2. Oe 00 l.Oe 00

Angular frequency (rod/s)

Power spectral density (m2s/:rad) - 5.Oe 00 0. Os. 00

0 a

d

0

Angular frequency (radio)

IOELFT

SHIPHYEJROMECHAI'/ICS LA'5ORA TORY

21

Shi;p : Hr.Ms. rydeman

Date s march 14th 87

Ron s 141S301849

SignaI:s heave

Sign. vol. : 1. 742e 00 m *

Statistical moments

bf

spectrum.

M 0 - 7. 586a-01 M 1 = 5. 178e-0l M 2 3. 882e-Ol M 3 - 3. 265e-0l

M 4 =3.l78a-0l

M 5 =' 3. 748é-01

Sample.interval s 1.000-s

Filter OMECAIow , 0.30 rod/s

Filter OMECAhI9h 2. 94 rod/s

Number of Weights, 85

Caiibrotionfoctor, 6. 937 rn/Vs 2

* mu'ltipl:y by 2 for waves

Ship. s Hr.Ms. Tydernon

Dote , march 1:4th 87

Run : 1418301849

Signal: vert. di:spl:. bow

Sign. vol. s 2. 791e 00 m *

Period

of

peaks 1. l45e 01 s

Average periods 7. 786e 00 s

Statistical moments

of

spectrum.

Length

of run,

., 19. 00. minutes

Sample interval : 1.000 s

Filter OMECAlow : 0. 30 rod/s

Filter OMEGA high,: 2. 94 rod/s

Calibrotiorifactor: 6. 937 m/ Vs 2 * multiply by 2

for

waves

M 0 . 1. 947e 00 M 1 1. 571e 00 M 2 1. 377e 00

M3

1.905e00

M 4 1. 343e 00

M5

1.526e.00

[OELFT SHIPHYOROMECHAtICS LA BORA TORY

_I

a

_a

cI

0

(25)

Power spectral dens i (rn 2s/rad) 5. Os 00 4. Os 00 3. Os 00 2.Oe 00 I.Oe 00 1'

Angular frequency Cradle)

0 a

N

JDELFT

SHIPHYDRBMECHANICS LABORATORY

Ship : Hr. Ms. Tydemar

Date march 14th 87 Run : 1416301849

Signal, WOveh2igth

Sign. vol. : 2. 030e PD m *

Period of peak: 1.. 050e Q:j Average period: 8. 296e 00

MO= l.030@0O

H 1 7. 799e-0l M 2 - 6. 829o-0l M 3 7. 160e-0l M 4 = 9. 056e-01

M5

1.342a00

Sample interval 1.000 Filter OMEGAlow 0.30 rod/s Filter OMECAhI3h 2.94 rad/s Number of weights: 85

Calibrationfactor: 10. 000 m/Vs2 * multiply by-2 for waes

0. Os 00

a

(26)

9-Results of March 15th

(27)

TABLE 15A

Results of seakeeping expericents of 15th arch

TABLE 158

Environaental conditions during tests of 15th flarch

Runnuiber Relative Speed Roll Roll Roll Pitch Pitch Pitch Heave Heave Heave B0N BON Bo Have Have Have

avedir. aapl. Tap. Tp. a.pl. Tape Tp. aapl. Tav. Tp. aipl.. Tav. Tp. aapl. Tav. Tp

vis./I4AV. 1/3 1/3 1/3 11.3 1/3

(deg.) (ko.) (deg.) (5) (5) (deg.) (s) (s) (a) (s) (s) (a) (s) (51 (a) (si (5)

1517451815 180/169 4.0 2.99 9.90 10.5 3.36 .7.26' 9.0 1.13 8.14 9.0 2.58 7.29 9.0 4.09 7.91 10.5

1518201850 210/200 4.4 2.49 9.55 9.7 .3.59 7.09 8.4 1.13 1.94 9.0 2.74 .7.16 8.4 3.76 7.59 9.7

1519551925 240/230 5.3 4.21 9.50, 9.7 3.20 7.24 9.0 1.31 8.02 9.0 2.57 7.37 9.0, 3.55 7.20 9.7

1519302000 270/260 5.4 6.17 9.98 10.5 2.58 7.32 8.4 1.50 8.69 9.7 2.37 7.77 9.7 3.68 7.35 9.7

Run nuaber Length Ship Ship Hind Hind Have

of run course speed di,. vel. dir

vis.IMAV. (am.) (deg.) (ho.) .(deg.) (Bf.) (deg.i

1517451815 29 176 4.0. 186' 6 115/165 1518201850 29 144 . 44. 194 6 175/164

1518551925 29 114 5.3 13 6 175/162 1519302000 29 85 5.4 199 6 175/165

(28)

1.6e 01 1. 2e 01 8. Os 00 -. 40e '00 0 Ce 00 c Power spectral (deg 2s/rad) Os 01' 8.Oe 00 6. Os 00 4. Os DO Os 00 0. Ca 00

'0

Angular frequency (radVs)

-0

0

Angular frequency' (rad/s?

dsrsity

BELFT SHIPHYDROMECHANICS LABURA TORY

0

-4

0

N

[BELET

SHIPHYOROMEG'HANICS LABORA' TORY

24

Signal,. rol,l

Sign. va'l'.

994e ODds9 *

spectrum.

Length oFrun

:29.00 mi'nutGs Sample interval a '1.000 s

Filter OP4EGAI'ow 0.30 rad/s

Fi 1 tsr OMEGAhIgh a 2. 94 rod/s

Number of' weights: :85

Calibra.ti'onfoctor: 9.900 deg/V

* mul tiply' by 2' for waves

Run a 15i7451!8i4 Si gna'li pitch

Sign. vol. 3. 359e 00 dog *

Period' of peak: 9. 000s 00 s Average peri'oda .7.265e 00 s Statistical momthnts of spectrLm.

MO- 2.821e00

Ml

2.440s 00

M2

2.2110500

M3

2. lODe 00 M 4 2. 092e 00 M 5 2. 1182e 00

Length of run 29. 00 minutes Sampils interval : 1.000 s Filter OME'GAlow , 0.30 rod/s

--Fi:Ltsr0MECAhigh: 2. 94_rod/s

Cci 1!brcti'or-ifact or, 4. 950 deg/V

* multiply by 2 for waves Period of peak: 1. 050s 01 s

Average periodi 9. 903e 00 s Statistical moments of N 0 = 2. 240e 00

Ml

1.422é 00 N 2 9. 369e-'Ol N 3 - 6. 509s-0i' M 4 4.904e-01 N 5' . 4. 2lSe-01

Power spectral density Ship Hr. Ms. Tdemàri

(deg 2s/rad) Date march 15th 87

(29)

PoWer spectral density Cm 2s/rad) 2. Ce, 00 1. 6e 00 1.2e 00 8. Os-Ol 4. Os-Cl 4. Os 00 3. Os 00 2. Os 00 l.Oe 00 0.Oe 00

0

C)

0

Power spectral density Cm2s/rad)

5. Ce. 00

Angular frequ9ncy Cradle)

-IBELFT SHIPHYBROMECHANICS LABORA TORY

[DELFT SHIPHYDROMECHANICS

LABORA TORY

Ship : Hr.Ms. Tydaman

Data s march 1:5th 87 Run , 151 74518L4

Signal, heave

Sign. vol. s 1. i30e 00 m *

spectrum.

Length of run , 29. 00 minutes

Sample interval a 1.000 a

Filter OMEGAIoW i 0.30 rod/s

Filtar OMEGAhigh , 2.94 radIo NUmber

of

Weights,, 85

Ca'librotionfàctori 6.937 m/Vs2 * multiply by 2 for Waves

Ship s 'Hr. Ms. Tydemon

Date, s march 15th 87

Run , 15] 7451614

Signals vert. displ. bow Sign. val. i 2.581e 00 m

spectrum.

Length of run , 29. 00 minutes

Sampiro interval s 1.000 s

Filter OMEGAlow s

0.30

radIo

.FilterOMEGAhigh.s 2.94 rad/s Number of 'weights, 65

Ca'librationfactor, 6.937 m/Vs2 * multiply by 2

for

waves Period

of

peak: 9. 000e 00 s

Average par! cdi 8. i39e 00 a

Statistical moments, of H 0 - 3. 194s-0'l M 1 2. 466e-01 M'2 1.995a-01 'M 3 1. 702è-Q1 M 4 1. 541e-0l M 5 1. 485a-01

Period

of

peaks 9.. 000e 00 .e Average periods 7. 289e 00 s

Statistical moments of

M0

1.665a00

M I - 1'. 435e 00

M2- 1.297a00

M3

1.226s00

M4

1.206e00

M5

1.213e00

0

C) '-S O Os 00 C) C) C)

0

N

0

-4

(30)

L ELF T SH1PHYDROMEC'HANICS LA BORA TORY

Statistical moments of spectrum. 2. 046a 00 m * 1.050e 01 e 7. 913e 00 S Ship : Hr. Ms. Tydeman Dato : march 15th 97 Run 151 745181:4 Si gnal: wavaheigth Sign. vol. a Period of peak. Average period:

MO =

l.046e 00 M 1 8. 309e-Ol

M2

7. 647e-0l N 3 a 454e-Ol

M4

1. 133e 00

M5= 1. 792e 00

Length of run 29.00 minutes Sample interval 1. 000 a

Filter OMECAI.ow 0. 30 rod/s

Filtor OMECAhigh , 2. 94 rod/s

Cal ibrat ion fact or: l0.000m/Vs2 * mul t iply by 2 for waves

Power spectral density (m2e/rod) 5. Os 00 4. Os 00 3. Os 00 2.Os 00 l.Oe 00 0.Oe 00

a

0

-4

(31)

Power spectroF denoi ty (deg2sirad) 1.Oe 01 8. Co 00 6.Ce 00 4.Oe 00 2. Oo 00 8.Co 00 6.Oo 00 4. Oe 00 2.

Do 00

Angular frequency (radio)

Power spectral density (deg*2s/rad)

1.00 01

.0

J.DELFT

SHIPHYDROMECHANICS LABORA TORY

.0

0

N

I DELFT SHIPHYDROMEcHANICS LABORA TORY

2 j Ship : Hr.Ms. Tydeman Date : march 15th 87 Run , I 518201949 Signal: roll

Sign. vol. , 2. 491e 00 dog

'Period of peaki 9. 692e 00 s

Average perioth 9. 552e 00 s

StOtistical moments of spectrum. 14 0 . 1. 551e 00

M1

1.020e00

'Ship : Hr.Me. Tydeman

Sample interval : 1.000 s.

Filter OMEGA low : 0.30 rod/s F! lter OMEGAb igh : 2. 94 rod/s

Calibrotionfactors 4.950 dog/V * multiply by 2 far waves

M0

Ml

M2

M3

M 4 14 5 = 3.203e 00 2.8390 00

2.63leOO

2.551eOO

2. 592Q 00 2. 7650 00 M 2 7.047e-01 M 3 5. 206e-01 M 4 - 4. 246e-01 M 5 4. 025e-01 Run i 1518201849 Signal. pitch

Sign. vol. , 3. 579 00 dog *

Average period: 7. 0890 00 s

Lmngth of run : 29. 00 minutes

Sample intsrvol :

1.000s

Filter OMEGAIow 0. 30 rad/s

Filter OMECAhigh 2.94 rad/è Number of weights, 85 Calirbratiosifactor, 9.900 dog/V

0. Do 00

0

AngiJ 1 or - frequency (rariVs)

0 o

'-4 0.00 00

0

0.

0

(32)

0.Oo 00 ci ci ci

DELFT SHIPHYDROMECHANJCS LABORA TORY

Angular frequency (rad/o)

IDELFT SHIPHYOROMECHANICS LABORA TOY

28 /

St at'ieti cal moments of spectrum.

4 - 1. 728e-01

M 5 1. 731s-01

Length of run 29.00 minutes Sample interval : 1.000 s

Fi1ter OMEGAlow : 0.30 rad/s

Filter OHEGAhi8h s 2.94 radIo Number of weights: 85

Caiibratfonfactor: 6. 937 rn/Vs2

* .nuitiplyby 2. for waves

Cal Ibrationfactor:; 6. 937 m/Vs2 * multipIy by 2 for waves M 0 - 3. 198e-01

H I 2 530e-01

H 2 2. 102a-01

M 3 1.847s-0i

(m2s/rad) Pots s march 15th 97

5.Oe :00 Run ,, 1.5 1 820I849

Signal. vért dispi. bow

4.Oo. 00 Sign val. 2. 741e 00 m *

Period of peak. 9 400a: 00 s

Average peri:odi 7. l60e 00. 9

3.Ue 00

Statist icol moments of spectrum.

MO =

1. 879e 00 2. Oo 00 M 1 Ii.. 648e 00

M2- I.517èO0

M3c. 1.466e00

1.Oo 00 _{M 4 =} 1:..496s 00

M5

1.577e00

0.Oe 00

I)

Length of run a 29. 00 minutes

ci ci ci ci

a

ci Sample interval i 1. 000 s ci -4 ('J Filter OMEGAIow a 0.30 rod/s Power 2. Do (m2s/rad) spectral' density 00 Ship s Hr. Ms. Tydeman Date , march 15th 87 Run a 15IiB20i89 Si nali heovs 1. 6a 00 Sign. vol. a 1. 131m 00 m * Period of peak. 9.000 00 o Average periods , 944 00 s 1. 2o 00

Power spectral density Ship s Hr.Ms. Tydaman ci

ci

-4

0

N

&iguar frequency Cradle)

-.FiLter OMEGMi19h s 2.94 rod/s. Number of weights. 85

(33)

PoWer spectral density Cm - 2s/rad) 5. Os 00 4. Ce 00 3. Os 00 2 Os 00 1.Oe 00 0. Os 00

0

AngUlar frequency Cradle) a

Ii

OELFT

SHIPHYOROMECHANICS LABORA TORY

Dote march 15th 87 Run : 1518201249

Si9na1s Wavehei9th

Sign. vol. a J. 881e 00 rn *

Period of peak: g 692e 00 a Averóga perioth 7. 588e 00 e

Length of run , 29.00 minutes

Sample interval a 1.000 s

Filter OMECAJow a 0.30 rod/s Fl I tar OMEGAhigh : 2. 94 rod/s

Calibratlonfactor: 10.000 m/Vs2 * multiply by 2 for Waves

M 0 8. 848e-01 M 1 = 7. 326e-0 1 M 2 6. 987e-01 M 3 - 7. 859e-01 M 4 1.050a 00

M5

1.635e00

(34)

Powor spectral dans:ity (dog 2s'/rad) 5 Do 01. 4'. Do 01 3. Oa 01 2.Oo 01 1.00 01

D.0

00

0 '0

'-4

AngUlar frequency (rad/è)

JLELFT SHIPHYLJPOMECHANICS

LABORA TORY

Fil'tGr

O4EGA'high's2..94-.rad/s-Number

of

weights: 85

Ca'ii'brattonfoctor, 4950 dog/V. multiply 'by '2 for waves

Angu Far frec4I.Jency Cradle)

OELFT SHIPHYBROMECHANICS 'LABORA TORY

[o

Ship s Hr. Ms. Tydeman

Date i march 15th 87

Run s 1518551924 Signals' roll

Sign. vol. : 4. 206e 00' dog

Period of peaks 9.692e O0s A'yerage period: '9.503o 00 a Statistical moments of spectrum.

MO

'. 4. 422o' DO

Ml =

2.924e 00 'H 2 1. 9870 '00

M3

1.397e00

M 4 =

l.027e00

M 5 = '7. 978e-Ol

Length of run i 29. 00 minutes 'Sample interval s 1. '000 a

Filter OMEGAlow s 0.30 rod/s

Filter OMEGAhI3h s 2.94 rod/s Number of Weights: 85

Cal ibroti

on'f

actors 9. '900 dog/V * multiply by 2 for waves

Power mpmctral density Ship s 'Hr. Ms. Tydeman'

(dog 29/rod) Date i march 15th 87

1. Do 01 Run , 151'855l'924

Sigra'ls pitch

'8 Do 00' Sign. 'val. s 3. 199e 00 dog *

P8riod of peaki 9. 0000 00 a

Average period: 7. 244e 00 a

6.

Do 00

Statistical momenta of spectrum.

14 0 = 2.558e 00 4.Oe 00

Ml

2.219e 00 M 2 2..026o 00

M3

1.949e00

2. Ce 00 144 = l.968e 00' 14 5 = .2. 0810 00

'O.'Oo 00 Length of run : 29. £0' minutes

0 a

0

Sample interval : 1. 000 5

(35)

IDELFTsH IPHYBROMECHANICS LA8ORA TO'Y

J:IJELFT SHIPHYLROMECHAN'iCS LABORA TORY

Filter OMEGAhigh' i 2.94 rad/s Number of weights. 85

Ca libra,t'i on factor: 6.937 miVe 2

* multiply by 2 for Waves

Ship a Hr. Me. Tydeman

Run : 1518551924

Si'gna1s vert. disp'l. 'bow

Sign. val. a 2. 5699 00 m *

Period of peak: 9. 000e 00 a

Average perioth 7. 374e 00 a

'Statistical moments of ,spQctrum.

M0

1.650a,00 M 1 ' 1. 406e 00

M2

1.270e00

M'3

1.217e00

M 4 1.237e 00

M5

1.331e00

Length of run a 29. 00 mInutes

Sample intarval : 1. 000

'Fl I tsr OMEGAlow s 0. 30 rad/s

.r0MEC4hlgh. '

?. 94 rad/s

Number of weihtss 85

Callbrationfactora 6.937 ml Vs 2 * multiply' by 2 for waves

Power

2. Os

(m2s/rcid)

spectral density

00

Ship a Hr. Me. Tydeman

Date , march 15th 87 Run a 151'855i924

Signals heave

1. 6e 00 Sign. vol. a 1'. 313e 00 m *

Prlod of peak: 9. 000e 00 s Average period: 8. 01'8e 00 a

1.2e 00

StatisticOi moments of spectrum.

M 0 4. 309e-0i 8. Os-Ol M' I a 977e-01 M 2 2. 81 3e-01 M 3 - 2. 526s-01 4. Os-Ol _{M 4 =} 2.501e-0'l M 5 2.8309-01

0. Os 00 Length of run a 29.00 mInutes

a

0 a

_{Sample interval} _s _{1.000 a}

a

0 a

-I

N

a

Filter OMEGAlow a 0.30 rad/s

Power Gpectra'l density (m2s/rad) 5. Os 00 4'. Os 00 3. Os 00 2. Os 00 1.Os 00 1 0. Os 00

'A

0

0 a

0

(36)

Power spectral (m2s/rod) 5. Os 00 4. Ce 00 3. Os 00 2. Os 00 1. Ps 00

dens

it>, ci ci -4

Angular frequency (rod/a)

0

C

DELFT SHIPHYOROMECHANICS LABORA TORY

Ship : Hr.Ms. Tydernan

Run : 1518551924

Signals wovehaigth

Sign. vol. : 1:. 777e 00 m *

Averog2 period: 7. 196e 00 a

Statistical moments of apsctrum.

Length of run : 29. 00 mInutes

Sample interval i 1.000 s

Filter 0MEGA1ow s 0.30 rod/s

H 1 ter OMEGAhtgh s 2. 94 rod/s

Number of weightss 95

Calibratlonfactor: 10. 000 m/Ve'2

multiply by 2 for waves M 0 - 7. 897a-0l M 1 6. 895e-01 M 2 = 6. 987a-0l M 3 - 8. 345e-01 M 4 1. 1732 00 M 5 1. 9039 .00

(37)

Power spectral density (deg2s/rad) 1. Ce 02 8. Ce 01 6. Os 01 4. Ce O'l 2. Os 01 0. Os 00

O

C)

0

-4

Angular frequàncy Cradle)

DEL FT SHIPH YDROMECHA NICS LABORA TORY

Power spectral dens ity (deg2s/rad) 5.Oe 00 4.Ce 00 3.Oe 00 2.Oe 00 .1.Oe 00 0. Ce 00 C)

0

Length

of

run s 29. 00 minutes

Sample interval , 1.000 a

N Filter OMEGA1ow : 0.30 rod/s

0 ₀

-1

JDELFT SHIPHYDROMECHANICS LABORA TORY

Ship : Hr.Ms. Tydernon

Run 151 930 1959

Signal: roll

Sign. vol. s 6. 1729 00 dog *

spectrum.

Length of run 29.00 minutes Sample interval : 1. 000 a

Filter OMECAlow : 0.30 rod/s

Filter OMEGAhigh : 2.94 rod/s Number

of

w9ightss 85

Calibrationfactors 9.900 dog/V * multiply by 2 for waves

Ship : Hr.Ms. Tydoman

Date i march 15th '87

Run 1 l51 93011959

Signal: pitch

Sign. val. , 2. 577e 00 dog *

Period of peaks 8. 400e 00 a

Average periodi 7. 319a 00 a

M0

1.660a00

Ml

1.428e 00

M2

1.293e00

M3

1.243e00

M4= 1.269e00

H 5

la 384e 00 Period

of

peaks l. 0500 01 s

Averog periodi 9. 980e 00 s Statistical moments

of

M0

9.523e00

M1

5.996e00

M 2 3. 8550 00

M3

2.542o00

M 4 1. 732e 00

M5

1.232e00

frOqiJOicy Crad/e) - Filter 0?4EGAhigh s 2.94 rod/s Number of weights: 85

(38)

4. Oo 00

3. Do 00

2. Do 00

1.00 00

Power spectral dorisity (m 2oirad)

5. Do 00

Angular froquoncy (radio)

OELFT SHIPHYDROMECHANICS LABIRA TORY

0

N

IOELFT SH'iPHYDROMEcHANIcS LABORATORY

Ship Hr.Ms. Tydoman Dote a march 15th 87

Run a 1519301959

Siigna'I', haava

Sign. vol. 504e' 00' m *

'Length of run a 29. 00 minutes

Sample interval a 1. 000 s

Filter OMECAlow a 0. 30 rad/s

Fl

lter OMEGA'high a 2. 94 rod/s

NLmber of Weights: 95

Co'l'ibra,tionfactor: 6. 937 m/Vs2,

* multiply by 2 for waves'

Ship a Hr. Ms. Tydeman

'Dote a march 15th 87

Run r 1519301959 SIgnal: vert. displ. 'bow

Sign. vol. a 2. 374e 00 m *

Average period. 7. 775e 00 s

M 0 1. 409e 00 H 1 1'. 139e 00 M 2 - 9. 734e-Oi M 3 8. 804e-0l 14 4 8. 360e-01 M 5 8 147e-0i

'Length of run a 29. 00 minutes

Sample interval : 1.000 S 'Filter OMEGAI'ow a 0.30 rad/s

---- -Numberofiweights._85

CoL'ibroti'ohfoctora 6.937m/,Vs2 * multiply by 2 for wovss

Period of peaha 9. 692o '00 a Average period: 8. 666e 00 o

Statistical' moments of spectrum.

M 0 5. 657e-01 MI' 4. 092e-0i M 2 3. 089a-01 M' 3' - 2. 425e-01 14 4 1. 925é-01 14 5' 1. 374e-01 0.00 00

a

0

'Power epoctral density (m,2eIrad) 5. 'DO 00

4.00 00

3. Do 00

2. Oe 00 1.00 00 0. 'Do 00

0 a

a

(39)

Power spectral density (m2s/rad) 2. Ce 00 l.6e 00 1. 2e 00 8. OsOl 4. 0.Oe 00

0

Angular frequency (radVs)

DEL FT SHIPH YDROMECHANICS L ABORA TORY

Ship s Hr, Me. Tydeman Dote , march 15th 87

Run s 1519301959

Signals waveheigth

Sign. vol. , 1. 839e 00 m *

Period of peaks 9. 692e 00 s

Statistical momenta of spectrum. M 0 - 8. 451e-O 1 P4 1 7.21g5-o1 M 2 7. 053e-01 M 3 8.0lOe-01

M4

1.064e00

M5

1.634e00

Sample interval a 1. 000

Filter OMEGAIow 0.30 rod/s F4 Iter OMEGAhi9h 2. 94 rod/s

Number of WeIghts: 85

Cal ibrationfactor: 10.000 rn/Vs 2 * multiply by 2 for waves

(40)

(41)

"Runuibe, 1609371007 1610151045 1610571125 1611351205 1612251255 1613051335 1613451415 TABLE 16A Results of seakeeping experiients of 16th March Runhluaber 1609371007 1610151045 1610571125 1611351205 1612251255 1613051335 1613451415 TABLE 168 EOvjronientai conditions

during tests of 16th March Relative

Navedir. vis./HAV,

(deg.)

Speed Roll _Roll

Roll _{pitch Pitch Pitch,}

Heave Heave Heave RoN _RON

RoN aepl. Tav. .Tp. _{aapl. Táv.}

Tp. aipl. Tav. Tp. _{aopJ. Tav.}

Tp.

1/3

1/3 _1/3

(fn.) (deg.) (s') (s). _{(deg.) (s)}

(si (e) (si (s) (e) (s) ₍₅₎

Have Have Have aepl. Tav. Tp 1/3 (I). (s) (s) 295/-26 0/- 210/-030/-' 180/-2 701- 090/-5.5 6.0 5.7 5.6 6.0 4.9 6.9 3.55 4.70 370 3.44 3.67 4.03 5.27 10.2 10.3 10.5 10.5 10.6 10.1 10.5 10.5 10.5 11.4 10.5 10.5 10.5 10.5 .. 2.37 2.00 2.48 2.27 2.35 1.87 1;65 7.72 8.11 7.68 8.27 7.93 7.56 7.85 7.9 11.4 7.9 10.5 7.0 9.0 10.5 1.02 0.95 0.90 0.82 0.97 1.10 1.01 8.29 8.63 8.58 9.09 8.72 8.53 9.06 8.4 8.4 7.9 8.4 9.7 9.7' 1L4 1.95. 1.63 1.94 1.68 1.86 1.77 1.58., 7.78 8.12 7.72 831 7.95 7.96 8.23 7.9 7.9 7.9 8.4 8.4 9.7 11.4 '2.51 2.38 2.51 2.43 2.68 2.71 2.46 8.01 7.69 7.81 7.62 7.70 7.64 7.15 9.0 9.0 10.5 9.7 9.7 9.7 9.0 29 29 28 29 . 29 29 29 103.5 280 130 310 140 050 230 5.5 6.0 5.7 5.6 6.0 4.9 6.9 54 64 53 66 57 63 56 .: 4 4 5 5 5/6 5 4/5 1601-160/ 160/- 140/-Length Ship _Ship

of run course speed

(sin.) (deg.) (ko.) Mind di,. (deg.). Mind vel. (Bf.) Have dir vis./NAV. (deg.)

(42)

Power spectral density (degr 2s/rad) 2.5e .01 2. Ce 01 l.5a Cl

hOe 01

5. Ce CO O. Ce 00 C C 5. 2e 00 3. 99 'oo 2.69 00 l.3e 00 0.09 00

0

0 a

0 -I

[DEL FT SHIPHYDROMECHANICS LABURA TORY

PoWer spectral density (degr2s/rod)

6. 5e 00

a

Angular frequency Crad/s)

a

C"

0

N

[DELFT SHIPHYDROMECHANflS

LABORA TORY

Ship i Hr. Me. Tydeman,

Oats s march 18th 87

Run s. 1609371006 Signals roll

Sign. va1. i 3 542a 00 degr *

Period of peaks. I. 050e 01 s

spectrum.

Sample Interval 1.000 a Filter OMEGA1,ow 0.30 rad/o Ff1 tar OMEGAhigh-: 2. 94 rod/s Number of weIghts. 85

5. 035 degr/V Cal I brati orifactor:

Ship i. Hr.Ms. Tydeman

Date' march 116th 87

Run s 16O9371005

Signals pitch

Sign.. vol. : 2. 366e 00 dagr * Period of peoki 7. 875e 00 e

Average periods 7. 716e 00 s

Statistical moments of spectrum. M 0 =

Ml =

M2

-M3 =

.M 4 =

M5-1.. 402e 00 1,. 142e 00 9. 742a-0'l 8. 730e-Dl 8. 243e-0l 8. 246e-0'l

Sample interval 1.000 a Filter OMEGAIow 0.00 rod/s Filter OMEGAhIgh i 2. 94 rod/s

Cal ibrationfactors 2. 842 dagr/V

multiply by 2 for wavas

A.verogo period. I.. 022e 01 e

Statistical moments of

MO

3.145e00

M 1 =

1.9349 00 M 2 1'. 219e 00 M 3 7. 865s-0l M 4 5. 127e-01 M 5 - 3. 1072-01

(43)

Power spectral (m 2e/rad) 1.00 00 B. Do-Cl 6. Oe-0.1 4.Og-01 2. Do-Ui' 0. Oe 00 a.

a

4.Oe 00 3. 'Oe 00' 2. Oa '00' 1'. Ce 00 0 Do 00

0 a-a

density

a

BELFT SH1PHYDRUMECHAN'iCS LA DORA TORY

Power spectral densl;ty (m2s/rad) 5. Ca 00

IJ

0. a

Angular - frequóncy '(rdd/s).

a

N

OEL'FT SHIPHYBRBMEL'HANICS LABORATORY.

Sh'iip' 's, Hr. Ms. Tydemon Date 's march 1:6th 97

Statistical moments 'of spectrum.

Length of run , 26. 00 minutes.

Sample interval s 1'. 000 s

Filter OMEGAIow s 0.30 rod/s

Filter

OMECAhi8h:

2. 94 rod/s 'Number

Of

weights: 85,

.Ca'l'ibrati'onfactors 3.482 m/Vs2

* multiply by. 2 for waves

Ship : ,Hr.Ms. Tydeman

Date s march 1:6th 67

Run : '1'60937'1i005

Signals vert. 'd.isp1. fore.

Sign. vol.. : 1..,954e 00 rn *'

spectrum.

Length

of run s. 29 00 mInutes

Sample interval s 1..000Hs Ft l'ter OMEGA low s 0. 30 rod/s

.F-jlter'QMEGAhI.gh :

2.94'rod/s

Number of weights, 85'

Cal tbrat ion fac tori 7. .006' rn/Vs 2

* 'mu'l'tic1y by 2 for' waves

Period of peak: 7. '875e 00 a

Average. periods 7. 775e 00 s

Statistical moments of '14 0 9. 549e-01 M .1 7. 716e-0-1 14 2 - 6. 551:e-0-1 M- 3 5. 894e-01

M 4

5. 666e-0i' 14 5' 5. gg7-o1 Run- 1609371005 Si gnal'i 'heave Sign. vol. s 1-.. 01'8s 00 m: *

Period

of

peaks 9. 400a 00 a Average periods 8. -285e 00 a

14, 4 1. 103e-01' 14 5' 1. 004è-0'l

M 0 =

2. 589e-0l M 1 l.963e-0l M 2 a- J 5490-01 M .3 - 1.. 276e-Ol

(44)

DELFI SHIPHYDROMEGHANICS LABORA TORY

I3,9

* multiply by 2 for waves Power spectral

density

Ship

s Hr.Ms. Tydeman

(m2s/rad) Date i march 16th 97

2.Os 00 Run : 1609371006

Signal, waveheigth

1. 6e 00

Sign.

val. s 1. 255e 00 in *

Period of peaks g 000 00 s Average periodè 8.

008a 00 s

1. 2e00

MO -

3.937o-0i B. Os-Ol M 1 3. 089e-0 1 H 2 2. 765e-0i M 3 2. 964e-0l 4. Os-Ui M 4 - 3. 950e-0l M 5 6 479e-01

0. Os 00 Length of run s 29. 00 minutes

Sample interval 1:. 000 s

a

0 a

a

0

-4 N Fi I tr OMEGAl ow : Oo 30 rod/s

Filter OMEGAhi8h: 294 rod/s

Number of weights, 95

(45)

Power spectral density (degr2s/rad) 5.Oe 01 ].0e 01 0. Ca 00

0

0 DEL FT SHIPHYDROMEGHANICS LABORA TORY'

Power spectral (degr2s/rad) 3. 3a 00 2. 6e 00 2. Oo 00 1.3e QO 6. 5e-01 0.Oa 00

0 a

a

-4

density

0

Angular freqyency (rdd/s)

0'

0

N

J:DELFT SHIPH'YDROMECHAN.TCS LABORA TORY

L

Ship s Hr. Ms. Tydeman

Run a 1610151044

Signals roil

Sign. vol. a 4. 699e 00 degr *

Period of peak: 1. 050e 01 e

Averaga period: 1. 031e 01

Statist ical moments of spectrum. M 0 5 5209 00

Ml

3.365e 00

M2

2.106e00

M3- 1.357a0O

M 4 - 9 120e-01 H :5 - 6. 573e-01

SOmpl:e intarvól a 1.000 8

'Filter OMEGAlow a 0.00 rod/s

Filter OMECAhI9h a 2 94 rod/s Number of weights, 85

Ca1ibrati'onfactor: 5.035 degr/V * multiply by 2 for Waves

Ship a Hr.Ms. Tydeman

Date 'a maróh 16th 87 1610l5l04 Signals pitch

Sign. vol. a 1. 997a 00 degr *

Period of peak. 2. 145e Dl s

Average periods 8. 1129 00 S Statistical moments of spectrum. H 0 = 9. 960e-0l H 1 7.714e-0l M 2 6. 4&4a-Ol M 3 - 5. 893a-01

M4

5.778e-01 M 5 6. 12le-0l

Length of run a 28.00 minutes

Sample interval a 1. .000 s

Flter 0MEG,low

a 0.00 rod/s

Filter OMEGAhi8h a 2.94 rod/s Numbsr of Weights: '85

Calibratlonfactàra 2.842 degr/V * multiply by 2 for waves

(46)

Power spectral density Cm 2 s/rod) 5. Oe-0i 4. Oe-01 3. Og-Ol 2. Oo-01 I. Oo-0l

[DEL FT SHIPHYDROMEtHANJCS LABORA. TORY

Pbwer spectral density Cm 2s/rad) 2.Oe 00 1.6e 00 1.2e 00 8 Oe-0i & De-Ol 0.Oo 00

0

-4,

Angular frequency (rad/é)

0

0 JDELF1

SH1PH'YDROMECHANiCS LABORA' TORY

41

Ship : Hr. Ms. TydQman

Date , march l6th 87

Run : 161 01.5 1043

Signal: heave

Sign. vol. 9.

542e-0l

rn *

00 Period of peak: 9. 4000 s

spactrum.

* muiti'ply by 2 for waves

Ship :. Hr.Ms. Tydnman Date. : niarch 16th 87 Run ,

1610151043

'Signal, vert disp'l. fore

Sign. vol. : 1..634e 00 m *

'Length of run i 28. 00 minutes

Sample. i!nterval :. 1.000 a

Ff1 tar OMEGAl:ow, , '0.. 30 rod/s

Filter OMEGA high : 2.94 rod/s

Number of weights': .85

Ca1ibrationfactor,

7.006 m/Vs2

Period of, peak: 7. 875e 00 s

Average period: 8. 1 1 7e 00 e

Statistical moments

of

spectrum.

M 0 6. 677e-01 'M 1 - 5. 1 68e-0l 'M 2 4. 329e-01 M 3 3. 896e-01 M 4 '3. '728e-01 H 5 3. 741 e-01

Average pri'od: B. 634e 00 s

Statistical moments of M 0 - 2. 276-O'1 M 1 = 1. 656e-01 M 2 1.290e-01 M 3

i..073e-01

M 4

9. 491 e-02 M 5 9. 875e-02

Length

of

run. : 28. QU minUtes

0.

0

Sample interval : 1.000 a N Filter OMECAlow : 0.30 rod/s

Filter OMECAhI9h s 2. 94 rod/s

Number of weights: 85 .Calibrati'orjfactor: 3. 482 m/Vs2 0. Oo 00

0

(47)

42

BELFJT SHIPHYDROMECHANICS LABORATORY

multiply by 2 for Waves Statistical. moments of speotrum M 0 - 3. 541e-01 8.Os-01 M 1 2.891e-01 M 2 2. 726e-01 H 3 3. 121e-01 4. Os-Ol M 4 4. 443e-01 M 5 7. 642e-U1 0. Os 00 Length of run , Sample interval a 29. 00 minutes 1. 000 a ci

a

ci ci

a

Filter OMEGAJow a

0. 30

radio

Angular frequency Cradle) Filter OMEGAhigh a 2. 94 radio Number of weights. 85

Cal ibratior.factor, 1?0.000 m/Vs2

1. 6e 00 Sign. vol. 1. 1 90 00 m *

Period of peak. 9. 000s 00 s

Average period. 7. 694e 00 a 1. 2e 00

Power spectral density Sfrip I Hr. Ms. Tydemon

Crn2s/rad) - Date ,

marOhl6th 87

2 Os 00 Run :g 1610151044

Wave and ship motion measurements a board HNLMS Tydeman during LEWEX