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9 th European Workshop on Structural Health Monitoring July 10-13, 2018, Manchester, United Kingdom Creative Commons CC-BY-NC licence https://creativecommons.org/licenses/by-nc/4.0/ System Identification of Steel Jacket Type Offshore Platforms using Vibration Test Hamed Rahman Shokrgozar 1 , Behrouz Asgarian 2 1 Department of Civil Engineering, University of Mohaghegh Ardabili, Ardabil, Iran, [email protected] 2 Department of Civil Engineering, K.N.Toosi University of Technology, Tehran, Iran, [email protected] Abstract Offshore platforms during their life-time due to severe environmental conditions need to monitoring continuity than the onshore structures. Structural health monitoring is a new method that used for most infrastructures in recent years. This method is a two-step process including the system identification and damage detection. The purpose of this paper is study the health monitoring of an experimental steel jacket type offshore platform in order to propose a dynamic system identification method for this type of infrastructures. Due to the time-varying loads and severe environmental condition of sea state affected on offshore platforms, system identification of this type of structure has principal role in conforming the quality of construction, validation or updating analytical finite element structure models, and specially conducting damage detection. In this paper, dynamic response measurement of a prototype jacket type offshore platform, SP, is performed using forced vibration imposed from an eccentric mass shaker. The prototype platform SP is installed on eight skirt piles embedded on continuum monolayer sand. Dynamic characteristics of the platform are identified using signal processing approach. Numerical simulation of responses for the studied structure is also performed using capability of ABAQUS software. The 3D model of ABAQUS is created using continuum elements for soil and piles, and beam elements for jacket, deck and pile elements. It can be seen that dynamic characteristics of such a platform can be extracted from experimental result of the system subjected to dynamic loading. 1. Introduction Steel jacket-type offshore platforms are the most common kind of offshore structures that been widely used in offshore oil and gas industry. These large and complex structures during their service life are subjected to random sea environmental loads such as wave, current, wind and earthquake; therefore, proper maintenance to ensure the safety of their operation is an important issue. Using the common methods such as visual inspection for monitoring platform integrity are often hard and sometimes impossible due to sea condition or increasing the depth of water. These problems led to the development of simpler techniques for evaluation of structural performance. Structural health monitoring (SHM) is a new method for assessment of the integrity of structures in the last two decades. The goal of this process is to maximize the structure's performance and minimize risk. The major step of SHM is system identification. Most important infrastructure components such as bridges, tall buildings, dams and offshore More info about this article: http://www.ndt.net/?id=23438

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Page 1: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

9th

European Workshop on Structural Health Monitoring

July 10-13, 2018, Manchester, United Kingdom

Creative Commons CC-BY-NC licence https://creativecommons.org/licenses/by-nc/4.0/

System Identification of Steel Jacket Type Offshore Platforms using

Vibration Test

Hamed Rahman Shokrgozar 1, Behrouz Asgarian

2

1 Department of Civil Engineering, University of Mohaghegh Ardabili, Ardabil, Iran,

[email protected]

2 Department of Civil Engineering, K.N.Toosi University of Technology, Tehran, Iran,

[email protected]

Abstract

Offshore platforms during their life-time due to severe environmental conditions need to

monitoring continuity than the onshore structures. Structural health monitoring is a new

method that used for most infrastructures in recent years. This method is a two-step

process including the system identification and damage detection. The purpose of this

paper is study the health monitoring of an experimental steel jacket type offshore

platform in order to propose a dynamic system identification method for this type of

infrastructures. Due to the time-varying loads and severe environmental condition of sea

state affected on offshore platforms, system identification of this type of structure has

principal role in conforming the quality of construction, validation or updating

analytical finite element structure models, and specially conducting damage detection.

In this paper, dynamic response measurement of a prototype jacket type offshore

platform, SP, is performed using forced vibration imposed from an eccentric mass

shaker. The prototype platform SP is installed on eight skirt piles embedded on

continuum monolayer sand. Dynamic characteristics of the platform are identified using

signal processing approach. Numerical simulation of responses for the studied structure

is also performed using capability of ABAQUS software. The 3D model of ABAQUS is

created using continuum elements for soil and piles, and beam elements for jacket, deck

and pile elements. It can be seen that dynamic characteristics of such a platform can be

extracted from experimental result of the system subjected to dynamic loading.

1. Introduction

Steel jacket-type offshore platforms are the most common kind of offshore structures

that been widely used in offshore oil and gas industry. These large and complex

structures during their service life are subjected to random sea environmental loads such

as wave, current, wind and earthquake; therefore, proper maintenance to ensure the

safety of their operation is an important issue. Using the common methods such as

visual inspection for monitoring platform integrity are often hard and sometimes

impossible due to sea condition or increasing the depth of water. These problems led to

the development of simpler techniques for evaluation of structural performance.

Structural health monitoring (SHM) is a new method for assessment of the integrity of

structures in the last two decades. The goal of this process is to maximize the structure's

performance and minimize risk. The major step of SHM is system identification. Most

important infrastructure components such as bridges, tall buildings, dams and offshore

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Page 2: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

2

platforms can be conveniently instrumented to estimate their dynamic characteristics.

The major advantage of using system identification is improvement fidelity of finite

element models, minimizing inaccuracies and calibrating design codes. Inaccuracies in

finite element models may be due to several factors such as the approximations made in

the discretization, miss-modelling of structural elements, the difference in material

properties and inaccuracy of dimension. System identification is also help to check the

integrity of structures subjected to ever increasing loads and monitor the changes of

structural characteristics and responses, and subsequently detects damages in the

structure and predict the expected remaining life. The role of Structural Identification is

also presented in the state of the art report by American Society of Civil Engineers

(ASCE) and Structural Engineering Institute (SEI) committee (ASCE-SEI 2012).

Many studies have focused to develop techniques for system identification and show

reliable achievement (Arici and Mosalam 2005a and 2005b; Mohanty and Rixen 2006;

Carden and Brownjohn 2008; Gul and Catbas 2008; Elshafey et al. 2009; Mojtahedi et

al. 2011). In system identification process, a mathematical model is generally

determined by observing its input –output relationships. This model may be classified to

graphic or mathematical models. Sometimes a mathematical model can be constructed

based on the physical laws that govern the system behaviour, but often such direct

modelling may not be possible due to incomplete knowledge about system’s mechanism

or change of properties of the system in an unpredictable manner.

The traditional fast Fourier transform (FFT) was proposed by Bendat and Piersol,

(1993) for recognition dynamic properties of civil structures. The peaks of the averaged

normalized power-spectral densities are determined the natural frequency of structures.

In this method, the system properties are obtained by converting the measured data to

the frequency domain by a Discrete Fourier Transform (DFT). Andersen et al. (1997)

proposed Auto-Regressive Moving Average Vector (ARMAV) models. In his proposed

model, it is assumed that the structure is linearly, time-invariant, and the unknown input

force can be modelled by a white noise filtered through a linear and time-invariant

shaping filter. The ARMAV is calibrated to the measured time signals by minimizing

the prediction error. Van Overschee and De Moor (1996) suggested a method in which

dynamic behaviour of a structure excited by white noise can be described by a

stochastic state space model. The state space matrices identify based on the

measurements and by using robust numerical techniques such as least squares. James et

al (1995) demonstrated that the correlation functions can be used in the identification

algorithms of traditional modal analysis. Classical techniques such as Least Squares

Complex Exponential (LSCE) and Eigen system Realization Algorithm (ERA) are

appropriate to extract the modal parameters from the measured response data of

structures undergoing unknown forces.

Identification the dynamic characteristic of offshore platforms is so important problem

both in the analytical analysis and implementation of structural health monitoring

methods. The response of these structures is a function of several parameters such as

loading properties and dynamic pile-soil structure interaction behaviour. Experimental

investigations of scale models provide means to validate numerical calculations and

evaluate the existing approaches and measuring instruments for measurement its

response. They also provide a controlled environment in which the effect of specific

parameters can be studied. The present paper reports the results of an experimental

program that was carried out at K.N.Toosi University of Technology to investigate the

dynamic response of a scaled model of a fixed offshore structure. For this purpose, a

Page 3: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

3

three dimensional 1:15 scaled model is fabricated as welded-steel space frame. The

scale model is installed on eight skirt piles embedded in monolayer continuum soil.

Experimental Force vibration tests were performed by an eccentric mass shaker.

Accelerometers and LVDTs were used to estimate the response of structure.

Signal based identification, based on analysis of response signals of structures, has also

been developed. The classical method of frequency domain analysis is applied by means

of Fourier transform, and simultaneous its four properties. Finally, experimental results

were compared with the results obtained from a finite element model.

2. Identification of dynamic characteristics

Dynamic Response and behaviour of structural systems may be studied from response

observation during earthquakes, experimental results on reduced scaled or actual size

models of the structures and finally from analytical or numerical modelling of

structures. Performing experimental investigation is very useful in complex structure

such as offshore platforms to verify the numerical result. The use of experimental

techniques has been widely applied to detect dynamic response of structural systems

subjected to dynamic loading. These techniques are being investigated in several fields

such as mechanical engineering (Mohiuddin and Khulief, 2002; Sabnavis et al., 2004),

aerospace applications (Ghoshal et al, 2001) and the offshore industry (Idichandy and

Ganapathy, 1990; Mangal et al. 2001 and Ruotolo et al., 2000).

Experimental dynamic investigation offers the opportunity to obtain information about

the whole system dynamic characteristics based on small number of measurements.

Usually, dynamic tests lead to determination of system modal characteristics.

Experimental modal analysis is the term used for determination of modal properties

such as natural frequencies, mode shape and modal damping experimentally. Two

common methods of the structural modal testing are the force vibration and ambient

vibration (Salawu and Williams, 1995). In ambient vibration tests, the excitation is not

under the control and it is usually considered as a stationary random process. Ambient

excitations are from different sources such as wind, pedestrian or vehicular traffic,

earthquakes, waves or similar excitation. For very large and massive structures, ambient

excitation is often the only practical choice. Structural identification through ambient

vibrations has been successful in numerous cases (Ivanovic et al., 2000 and Ventura et

al., 2003). Usually, experimental test of full-scale structures under dynamic loads is not

practical. Experimental measurement of laboratory scale model of the structure is one of

the alternative methods for comparison and investigation of the performance of existing

and new systems. In this paper, scaled model of a jacket type offshore platform is

fabricated and experimental forced dynamic test is performed on it.

2.1. Description of Scaled Model

Scaled model of a newly installed jacket type offshore platform in Persian Gulf SP1 is

considered for this study. The laboratory model is a welded-steel space frame with six

legs, horizontal and vertical braces, two-story decks and eight skirt piles. The details of

the model are presented in Figure 1. Due to available pipes and laboratory facilities, the

geometric scale of 1:15 is used. The modulus of elasticity and yield stress of steel piles

are determined as 2x108 KN/m2 and between 265-285 MN/m2 (respectively).

Page 4: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

4

For considering real boundary condition in the experimental model, a square cubes hole

with approximately 7.00 m dimension is excavated in the yard of civil engineering

faculty of K.N.Toosi University of Technology. In order to simulate the stiff bedrock in

the bottom of the hole, a thick concrete layer with compression strength of 28MPa is

constructed. The hole is filled with homogenous sand with a volume of about 320 m3.

The process of filling the hole with sand is done in 10 months before performing driving

skirt piles and installing jacket. The soil profile consisted of a monolayer uniformly

graded sand with an angle of internal friction φ of 38° and the undrained shear strength,

cu of 9.8 KN/m2. Young’s modulus for the sand is varied between 12,000-25,000

KN/m2 along the depth of the pile. The installation process of the scaled platform is

conducted by driving eight piles through their sleeves using pile driving tool. Figure 2

shows picture of the scaled model of the SP1 platform installed on 8 skirt piles.

Figure 1. General view of scaled model SP1

Page 5: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

5

In the forced vibration tests, one vibration generating system having an eccentric

mass shaker is used to excite the structure. This system can apply harmonic excitation

across a wide frequency range in one or two horizontal directions and can induce weak

to strong forced vibration to structures. The eccentric mass shaker is capable to impose

and hold a frequency in the range 0.0 to 10 Hz within 0.1 Hz intervals. The shaker is

installed in the second story of the platform deck and it is fixed to rigid plates of deck.

The response of the scaled model of SP1 platform to the frequency sweep kind of

excitation is measured using six two-dimensional accelerometers, four linear variable

differential transformers (LVDT's) and TMR-200 portable digital central recording

systems. The response of the scaled model of SP1 platform in two directions (Rows A&

C and Rows1& 2) is measured in several stages. The first stage of the test is conducted

by increasing the input frequency from 1 Hz to 4 Hz by 0.2 Hz intervals. In this stage,

the approximate modal frequency values are evaluated. In the next stage of force

vibration testing program, the exact value of natural frequencies and corresponding

mode shapes is evaluated. In these stages, the frequency of excitation is increased

around the preliminary resonant frequencies by a 0.1Hz intervals and the response of the

platform is measured using accelerometers.

Figure 2. Picture of scaled model, SP1 installed on soil-pile-supports.

2.2. Description of Test Cases

In order to change vertical bracing members of SP jacket, these members are fabricated

using flange type connection plates. Four different vertical bracing configurations are

selected for performing forced vibration tests. First case is the base case in which

members configuration is same as main design configuration of platform. In case No. 2

four vertical braces are added to top bay of jacket as shown in figure 3. In cases No.

3&4 vertical bracing of third and second bay of the jacket was removed as shown in

figure 3 in order to simulate damages may occur during platform life.

Page 6: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

6

Figure 3. Four bracing configuration cases used in force vibration test

2.3. Numerical Modelling Description

Dynamic characteristics of the scaled platform SP1 is also computed numerically using

three- Dimensional modelling with ABAQUS software. The superstructure elements,

including legs, vertical and horizontal bracing members and deck beams are modelled

using two nodes beam elements. Three dimensional solid elements are applied to model

piles and soil media. Mohr-Coulomb geotechnical constructive model is assumed for

modelling soil material behaviour. The soil-pile interfaces are assumed as a frictional

interface where soil-pile slipping and gapping may occur. Generally, Coulomb’s law of

friction is used to model slipping and gapping in the soil and pile. If interface surface is

in contact, full transfer of shear stress is ensured and separation occurs when there is

tension between the soil and pile interface. Thus, in model using ABAQUS, the contact

Page 7: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

7

constraint is applied between two surfaces of pile and soil. The surfaces are separated

when the contact pressure between them becomes zero or negative, and the constraint is

removed. As the system is subjected to a small force which does not induce slip, for the

tangential component, rough interaction is assumed between surfaces. Figure 4 is shown

3D model of the prototype in ABAQUS.

Figure 4. Three-Dimensional Model of SP1 in ABAQUS

3. Results

In this section, results of experimental and numerical analyses are presented in term of

dynamic characteristics. Response of scale model to excitation is derived from

experimental data and ABAQUS model analysis result. To identify modal

characteristics of the scaled platform SP1, signal processing method was used based on

the power spectral density function. Modal frequencies and mode shapes are also

obtained numerically using ABAQUS outputs.

3.1. Natural Frequencies of the Platform in different cases

Natural frequency of the scaled platform, SP1 is obtained using power spectral density

(PSD), cross correlation spectrum (CPS), phase relationship, and the Coherence

Spectrum (CS), (Equation 1 through 4). The CPS, phase relationship and CS are

estimated between all response measurement points and one reference point. The

segment averaging method (also known as Welch’s method) was used for better

correlation and minimizing errors. The method consists of dividing time-series data into

Page 8: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

8

(possibly overlapping) segments, computing a modified spectrum of each segment, and

then averaging the PSD and CPS estimates. Therefore, PSD and CPS are estimated by

dividing each acceleration data to eight segments and using a Hanning window with

50% overlap. To distinguish the spectral peaks representing the platform vibration

modes from those corresponding to peaks in the input spectrum, the advantage

concurrency of the CPS peak and the orthogonality condition of mode shapes are used.

That is, all points of the platform in a lightly damped mode of vibration are in-phase or

180 out- phase with each other, depending only on the shape of the normal mode.

Moreover, the large amount (approximately 1) must be occurred in the value of the

coherence spectrum at the candidate frequency. A MATLAB subroutine is coded for

this aim.

∫+∞

∞−

τπ− ττ= deRfSPSD fj

xxxx

2)()(: (1)

∫+∞

∞−

τπ− ττ= deRfSCPS fj

xyxy

2)()(: (2)

)()()( fjQfCfS xyxyxy −= (3)

⎥⎥⎦

⎢⎢⎣

⎡=θ −

)(

)()(

21

fC

fQtgf

xy

xy

xy (4)

)()(

)(:

2

2

fSfS

fSCS

yyxx

xyxy =γ (5)

In the above equation Sxx and Rxx are power spectral density and the auto-correlation of

a measurement point of the structure respectively. Sxy and Rxy are cross correlation

spectrum and the cross-correlation between two response measurement points of the

structure respectively. Cross correlation spectrum, Sxy is a complex value that is shown

by the real value Cxy and imaginary value Qxy. The phase spectrum of the CPS is

calculated from equation 2 and detect that two-point of vibrations is in-phase or out-

phase. The degree of linear association between two signals is compared by ordinary

coherence function. Two signals are completely correlated, and its function is shown

unity value, if there is not any noise during the vibration recording and there is not any

computational error in the spectral calculation. The coherence spectrum has a peak in

the resonant frequency of the platform, and its value is larger than 0.5. Figure 5 shows

power spectral density, cross spectral density, coherence spectrum a phase spectrum that

obtained from above equations for Row A&C. Tables 1 present first and second natural

frequencies of scaled model platform for four vertical bracing configurations. The result

of Finite element modelling using ABAQUS software is also presented in this table. By

comparing the result of natural frequencies of second case with first case, it is observed

that adding vertical bracing in top bay of the jacket, increased significantly natural

frequencies. This confirms efficiency of adding such an offshore installed bracing

system in order to avoid soft story mechanism in top bay of such a jacket. It can be seen

that removing vertical bracing in second and third bay of jacket has significant change

in dynamic characteristics of platform and it can be concluded that results of dynamic

measurements can be used for damage detection of such structures.

Page 9: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

9

PSD Using Welch Method

0

20

40

60

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Accel-T2-1

0

1

2

3

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Accel-D2-1

0

1

2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Accel-D1-1

0

2

4

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Accel-T1-1

0.0

0.1

0.2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0Frequency (Hz)

Accel-S3

Coherence Spectra

0.0

0.4

0.8

1.2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-T1-1)

0.0

0.4

0.8

1.2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-D2-1)

0.0

0.4

0.8

1.2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-D1-1)

0.0

0.4

0.8

1.2

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Frequency (Hz)

(Accel-T2-1)&(Accel-S3)

CPS Angle

-4

-2

0

2

4

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-T1-1)

-4

-2

0

2

4

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-D2-1)

-4

-2

0

2

4

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

(Accel-T2-1)&(Accel-D1-1)

-4-2024

0.0 1.5 3.0 4.5 6.0 7.5 9.0 10.5 12.0 13.5 15.0 16.5 18.0 19.5 21.0 22.5 24.0

Frequency (Hz)

(Accel-T2-1)&(Accel-S3)

Figure 5. Power spectral density, cross spectral density, coherence spectrum and phase spectrum

for Row A&C.

Page 10: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

10

Table 1. Measured and computed Natural Frequency of the platform at each case

Case

No. Direction

Test ABAQUS

Mode 1 Mode 2 Mode 1 Mode 2

1

Row A&C 2.75 11.02 2.95 12.03

Row 1&2 2.89 11.78 3.10 12.12

Torsion 5.49 13.93 5.64 14.25

2

Row A&C 4.08 14.12 4.55 14.90

Row 1&2 4.67 16.88 4.87 17.30

Torsion 9.34 23.97 9.82 24.52

3

Row A&C 1.35 9.04 1.60 9.44

Row 1&2 1.70 9.20 1.85 9.53

Torsion 3.07 10.64 3.10 11.04

4

Row A&C 2.07 8.34 2.27 8.72

Row 1&2 2.19 8.69 2.39 9.63

Torsion 3.83 11.02 4.01 11.25

3.2. Platform Mode shapes

For estimation of the mode shapes of scaled model platform SP1, the amplitude of PSD

is obtained for each point, and its root is calculated. The phase difference of each point

relative to the reference point is determined by phase spectrum. If the phase angle is in

the first or fourth quarter of the unit circle, that point is in-phase with reference point,

but if the phase angle is in the second or third quarter of the unit circle, that point is out-

phase with the reference point. The mode shapes are determined according to the

obtained amplitude root of PSD and the phase difference (in or out- phase). Figures 6 to

9 show mode shape of scaled model platform SP1. In these figures, results of finite

element (ABAQUS) model are also shown. By comparison of the result of mode shapes

for cases 1 and 2, simpler dynamic behaviour can be observed, in the other words,

adding vertical bracing in top bay of such a jacket and strengthening platform leads to

similar mode shapes with shear regular structures. Removing vertical bracing in second

and third bay of jacket changes mode shapes configuration according to figures 8 and 9.

Figure 6. Mode shapes of platform - case 1

Row A&C Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

Ele

va

tio

n (

m)

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 2

0

1

2

3

4

5

6

-0.3 0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 2

0

1

2

3

4

5

6

-0.3 0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Page 11: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

11

Figure 7. Mode shapes of platform - case 2

Figure 8. Mode shapes of platform - case 3

Figure 9. Mode shapes of platform - case 4

3.3. Estimation of Modal Damping

Half-power bandwidth method is used for calculating the modal damping. The damping

ratio is calculated using equation 6 in which frequencies fa and fb are illustrated in

figure 10. Table 2 shows damping ratio for different modes of both boundary condition

cases. It can be seen that generally ratio of damping increases by decreasing the lateral

stiffness of structure and the difference of damping ratios in the first mode is so

significantly than the higher modes.

ab

ab

ff

ff

+

−=ζ (6)

Row A&C Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

Ele

va

tio

n (

m)

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 2

0

1

2

3

4

5

6

-0.3 0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 2

0

1

2

3

4

5

6

-0.4 0.0 0.4 0.8 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 2

0

1

2

3

4

5

6

-0.3 0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 2

0

1

2

3

4

5

6

-0.3 0.0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

Ele

va

tio

n (

m)

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

Ele

va

tio

n (

m)

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 1

0

1

2

3

4

5

6

0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row A&C Mode No. 2

0

1

2

3

4

5

6

-0.3 0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

Row 1&2 Mode No. 2

0

1

2

3

4

5

6

-0.3 0.0 0.3 0.6 0.9 1.2

F.V. Test

N.A. -ABAQUS

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12

Figure 10. Typical frequency response curve.

Table 2. Result of Modal Damping from forced Vibration Tests.

Mode 1 Mode 2

Case 1

Row A&C 0.01324 0.00409

Row 1&2 0.01689 0.00416

Torsion 0.00819 0.00287

Case 2

Row A&C 0.01203 0.00382

Row 1&2 0.01509 0.00407

Torsion 0.00536 0.00204

Case 3

Row A&C 0.02033 0.00497

Row 1&2 0.02196 0.00681

Torsion 0.01518 0.00414

Case 4

Row A&C 0.02051 0.00570

Row 1&2 0.02059 0.00546

Torsion 0.00654 0.00355

4. Conclusion

In this paper, dynamic system identification of a scaled model of steel jacket type

offshore platform newly installed in Persian Gulf are studied using experimental and

numerical simulation. The model is tested on a pile supported condition in order to

simulate real boundary conditions. Strengthening of jacket type offshore platforms by

adding vertical bracing members in top bay of jacket and weakness of such a platform

by removing vertical bracing members also studied from experimental and numerical

results. The force vibration dynamic test is conducted to identify modal properties of the

structure. Signal processing is used based on power spectral density function. The

numerical modelling of sample platform SP1 is performed using ABAQUS software.

The result of experimental analysis shows that soil-pile-structure interaction decrease

the natural frequency of structure. The same result is also observed in the other modal

properties and considering SPSI is increased the relative lateral displacement at mode

shapes and modal damping. The effects of SPSI are significantly illustrated at higher

modes compared to first mode for all the dynamic characteristics. Efficiency of offshore

installed vertical bracing members in top bay of jacket is also observed from

improvement of dynamic characteristics of structure experimentally and numerically.

The numerical results obtained from ABAQUS model matches more with experimental

observation at first mode compared to higher modes.

Page 13: System Identification of Steel Jacket Type Offshore Platforms … · and new systems. In this paper, scaled model of a jacket type offshore platform is fabricated and experimental

13

Acknowledgements

The research employed herein was sponsored under POGC (Pars Oil and Gas Company)

project No. 132 “Investigation of Structural Health Monitoring of Steel Jacket Offshore

Platforms”. The financial support of POGC is gratefully acknowledged.

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