Numerical Evaluation of Load-Displacement Relationships for Non-Slender Monopiles in Sand

8/21/2019 Numerical Evaluation of Load-Displacement Relationships for Non-Slender Monopiles in Sand

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Aalborg Universitet

Numerical Evaluation of Load-Displacement Relationships for Non-Slender Monopilesin Sand

Srensen, Sren Peder Hyldal; Mller, M.; Brdbk, K. T.; Augustesen, Anders Hust; Ibsen,Lars Bo

Publication date:2009

Link to publication from Aalborg University

Citation for published version (APA):Srensen, S. P. H., Mller, M., Brdbk, K. T., Augustesen, A. H., & Ibsen, L. B. (2009). Numerical Evaluationof Load-Displacement Relationships for Non-Slender Monopiles in Sand. Aalborg: Department of CivilEngineering, Aalborg University. (DCE Technical Reports; No. 80).

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ISSN 1901-726XDCE Technical Report No. 80

Numerical Evaluation of Load-Displacement Relationships forNon-Slender Monopiles in Sand

S. P. H. SrensenM. Mller

K. T. Brdbk

A. H Augustesen

L. B. Ibsen

Department of Civil Engineering


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DCE Technical Report No. 80

Numerical Evaluation of Load-DisplacementRelationships for Non-Slender Monopiles in

Sand

by

S. P. H. SrensenM. Mller

K. T. BrdbkA. H. Augustesen

L. B. Ibsen

December 2009

Aalborg University

Aalborg UniversityDepartment of Civil Engineering

Water & Soil


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Scientific Publications at the Department of Civil Engineering

Technical Reports are published for timely dissemination of research results and scientific work

carried out at the Department of Civil Engineering (DCE) at Aalborg University. This medium

allows publication of more detailed explanations and results than typically allowed in scientific

journals.

Technical Memorandaare produced to enable the preliminary dissemination of scientific work by

the personnel of the DCE where such release is deemed to be appropriate. Documents of this kind

may be incomplete or temporary versions of papersor part of continuing work. This should be

kept in mind when references are given to publications of this kind.

Contract Reports are produced to report scientific work carried out under contract. Publications of

this kind contain confidential matter and are reserved for the sponsors and the DCE. Therefore,

Contract Reports are generally not available for public circulation.

Lecture Notes contain material produced by the lecturers at the DCE for educational purposes. This

may be scientific notes, lecture books, example problems or manuals for laboratory work, orcomputer programs developed at the DCE.

Thesesare monograms or collections of papers published to report the scientific work carried out at

the DCE to obtain a degree as either PhD or Doctor of Technology. The thesis is publicly available

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Latest News is published to enable rapid communication of information about scientific work

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Published 2009 by

Aalborg University

Department of Civil Engineering

Sohngaardsholmsvej 57,

DK-9000 Aalborg, Denmark

Printed in Aalborg at Aalborg University

ISSN 1901-726X

DCE Technical Report No. 80


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p y

3D

p y

p y

p y

p y

3D

p

y

p y

L/D

p

y

L/D


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p

y

3D

p y

3D

3D

3D

D= [2,3,5,7]

3D

p y

3D

D

L/D = 5

L


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3D

FLAC3D

Esolid =EhollowIhollow

Isolid

hollow solid

3D

3D


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3D

SXX = xx D = 0.08 L = 0.4 P

= 100

x y

y

x = 0

x

D = 2

D = 2


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0 0.2 0.4 0.6 0.80

1

2

3

4

5

6

7

Displacement [m]

Horizontalload

[MN]

Displacement controlled

Force controlled

D = 3 L = 20

0 2000 4000 6000 80000

2

4

6

8

10x 10

4

Horizontal load, H [kN]

Moment[kNm]

Naviers formula

M=He

H

e

D = 3

L = 20

K0

3D


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3D

Rinter

i tr Rinter Ei Gi Rinter i =0.45

Rinter = 1.0

Rinter


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yy D = 0.08 L = 0.4 P = 100

D

E

E

3

ID

ref3

E

=Eref

ccos(tr) +3sin(tr)ccos(tr) +

ref3

sin(tr)0.58

Eref

= 1.82(0.6322I2.507D + 10920) 2

M

3D

M= (zz,izz,i)Iyy

xi


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0 2 4 6 8 10

x 104

0

5

10

15

20

25

30

E0[kN/m

2]

Depth

[m]

E0determined from (2)

Linear interpolation of E0

E0

zz,i

i Iyy y xi x

i

zz,i

y= 0

x= D/2

y fy,i

M =ni

fy,ixi

3D

3D

3D

D = 80

P

= 100

3D

= 10 ks kn

ks= kn = 100E


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0 5 10 15 200

1000

2000

3000

4000

5000

6000

7000

Displacement [mm]

Horizontal

load[N]

Measured

Calibrated

a = 480 mm

a = 370 mma = 200 mm

3D

D = 0.08 L = 0.4

P

= 100 a

0 200 400 600 800 1000

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

Moment [Nm]

x[m]

Calibrated

Measured

3D

D = 0.08 L = 0.4 P

= 100

D= 80 P

= 100

y = 13.8 H= 4000

y= 8.5

0 5 10 150

1000

2000

3000

4000

5000

6000

7000

Horizontalload[N]

Displacement [mm]

Measured

Plaxis 3D Foundation

D = 0.08 L = 0.4 P

= 100

E

E

E

E

= 41.0

E

= 82.0

E


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0 0.5 1 1.50

500

1000

1500

Horizontalload[N]

Displacement [mm]

E0=41 MPa

E0=82 MPa

Measured

D = 0.08 L = 0.4 P

= 100

Rinter

Rinter = 0.69

Rinter Rinter = 1.0

Rinter

E

= 41.0 Rinter = 1.0

0 0.5 1 1.50

500

1000

1500

Horizontalload[N]

Displacement [mm]

Rinter

=0.69

Rinter

=1.00

Measured

Rinter D = 0.08 L = 0.4 P

= 100

3D

3D


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E

2

3

3D

3D

3D

3D

3D

0 0.02 0.04 0.06 0.080

500

1000

1500

2000

2500

3000

Displacement [m]

Horizontalload[kN

]

FLAC3D


Plaxis 3D Foundation 2.5E

ABAQUS

3D

p y

3D


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3D

3D

3D

p y

3D

3D

E

3D

D= 37 x= 15

D= 2

x= 13

3D

D= 37

D = 2


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3

tr

tr

c 2

ID

s

K

tr

Ep p

p 3

3D

0.2 0 0.2 0.4 0.6

0

5

10

15

20

Deflection [m]

x[m]

D=2 m

D=3 m

D=5 m

D=7 m

3D

D = 2

D = 1

100 0 100 200 300 400

0

5

10

15

20

Moment [MNm]

x[m]

D=2 m

D=3 m

D=5 m

D=7 m

3D

p y

3D


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D = 7

10 5 0 5

0

5

10

15

20

Soil resistance [kN/m]

x[m]

D=2 m

D=3 m

D=5 m

D=7 m

3D

p y

3D x= 2

p

y

p y

p y

3D

p y

D = 2 3

p y

p y

D= 2

0 0.05 0.1 0.15 0.20

500

1000

1500

2000

2500

y [m]

p[k

N/m]

D=2 m

D=3 m

D=5 m

D=7 m

p y p y

3D

Epy = dpdy

y = 0

3D

Epy

k

Epy =kx

dp

dy |y=0=Apu

kxApu

2( kxyApu

)|y=0=kx


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0 2 4 6 8 10

x 105

0

5

10

15

20

Epy

*[kN/m

2]

x[m]

D=2 m

D=3 m

D=5 m

D=7 m

3D

0

5

10

15

20E

py

*

x[m]

D=1 m

D=2 m

D=3 m

D=5 mD=7 m

Epy

p y

Epy

Epy

Epy =E

py,ref

x

xref

a

Epy,ref

xref a

a

D= 7

a = 1 Epy,ref xref = 2

Epy

Epy

Epy

k

Epy

x = 14

Epy

D= 3 7

3D

0

5

10

15

20E

py

*

x[m]


Epy

*=kx

Epy

*=E

py,ref

*(x/x

ref)0.6

Epy

D = 7

xref = 2


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k

3D

x= 27

k

k

D = 25

tr = 40

k = 40000 3

k

3

k= kref

D

Dref

b

k

D

b

3D

k/kref

D= 57

b

3D

k D

p y

Epy

D= 3

D = 5

Epy

p y

0

5

10

15

20

25

30E

py

*

x[m]

D=3 m L=20 m

D=3 m L=30 m

D = 3

0

5

10

15

20

25

30E

py

*

x[m]

D=5 m L=20 m

D=5 m L=30 m

D = 5

Epy


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k

3Dk

3

D= 2 D= 3 D= 5 D= 7

x= 2

x= 3 x= 4 x= 5

x= 6

x= 7

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

D [m]

k/k

ref

[]

x=2 m

x=3 m

x=4 m

x=5 m

3D

kref D = 2 b = 0.645

0 1 2 3 4 5 6 70

0.5

1

1.5

2

2.5

3

D [m]

k/k

ref

[]

x=2 m

x=3 m

x=4 m

x=5 m

kref

D = 1

b= 0

.226


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EpIp p y

Epy

EpIp

D = 3 Ip

Ep= 2.1107 Ep= 2.1108

Ep= 2.1109

p y

p y x= 2 x= 10

p y

x= 10

L/D

y

p

0.1EpIp

EpIp

10EpIp

x = 2

y

p

0.1EpIp

EpIp

10EpIp

x = 10

p y

D = 3

H/L2D y/D

H/LD2 y/D


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0 0.05 0.1 0.15 0.20

0.1

0.2

0.3

0.4

0.5

0.6

Normalised displacement, y/D []

Normalisedhorizontalload,

H/(L2D)[]

D=3 m, L=20 m

D=5 m, L=20 m

D=7 m, L=20 m

D=3 m, L=30 m

D=5 m, L=30 m

D=7 m, L=30 m

H/L2

D y/D

3D

3D

p y

3D

3D

D= 3

3D

p y

3D

3D

3D


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0 0.05 0.1 0.15 0.20

0.5

1

1.5

2

2.5

Normalised displacement, y/D []

Normalisedhorizontalload,

H/(LD2)[]

D=3 m, L=20 m

D=5 m, L=20 m

D=7 m, L=20 m

D=3 m, L=30 m

D=5 m, L=30 m

D=7 m, L=30 m

H/LD2

y/D

0.05 0 0.05 0.1 0.15 0.2

0

5

10

15

20

Deflection [m]

x[m]

FLAC3D

API

3D

p

y

D = 3

3D

D = 3

3D

3D

3D

0 20 40 60 80 100 120

0

5

10

15

20

Moment [MNm]

x[m]

FLAC3D

API

3D

p

y

D = 3


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D = 3

3D

k = 40000 3

k = kref x = 2

3D

k

3D

kref

xref = 2

3D

3D

p

y

0 0.2 0.4 0.6 0.80

2

4

6

8

10

Displacement [m]

Horizontalload

[MN]

FLAC3D

API

Epy

*=k

refx

Epy

*=E

py,ref

*(x/x

ref)0.6

3D

k = 40000 3 kref

3D

D= 2 7

3D


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k

k

3D

k

3

p

y

Epy

EpIp

Epy

p y

3D


27/29

p y


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p= 0.33

s = 0.23

3D

ks = kn= 100E

D

P

tr

c

ID

E

EpI

p

[m]

[

]

[

]

[

]

[

]

[]

[

3]

[

]

[

2]


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ISSN 1901 726X

Numerical Evaluation of Load-Displacement Relationships for Non-Slender Monopiles in Sand

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