• No results found

Dynamic Field Data from Offshore Monopile Wind Turbines - Assessment of Natural Frequencies and Damping

N/A
N/A
Protected

Academic year: 2022

Share "Dynamic Field Data from Offshore Monopile Wind Turbines - Assessment of Natural Frequencies and Damping"

Copied!
8
0
0

Laster.... (Se fulltekst nå)

Fulltekst

(1)

DYNAMIC FIELD DATA FROM OFFSHORE MONOPILE WIND TURBINES – ASSESSMENT OF NATURAL FREQUENCIES AND

DAMPING

Karin Norén-Cosgriffand Amir M. Kaynia

1RUZHJLDQ*HRWHFKQLFDO,QVWLWXWH1*,2VOR1RUZD\

HPDLO.DULQ1RUHQ&RVJULII#QJLQR$PLU0.D\QLD#QJLQR

Keywords:RIIVKRUHZLQGHQHUJ\SLOHIRXQGDWLRQPHDVXUHPHQWVDFFHOHUDWLRQVWUDLQQDWXUDO IUHTXHQFLHV

Abstract.The dynamic characteristics of offshore wind turbines are heavily affected by the ambient excitations (e.g. wave excitations and wind excitations) and nonlinear soil behaviour.

For monopile structures, the fatigue design for the wind and wave loading is one of the most important problems to consider. Since the fatigue damage is sensitive to the foundation stiff- ness and damping, increasing the accuracy of analysis tools used in the design and optimiza- tion process can improve the reliability of the design and reduce conservatism, thereby leading to a more cost-efficient design. In this context, analysis of field data is important for calibrating and verifying purposes.

This paper presents analysis of measured accelerations and strains in two offshore wind tur- bines in the North Sea with monopile foundations. One of the turbines is in a site that is dom- inated by sand and the other by clay. Field data during idling conditions, collected over long periods of operation, are analysed and the natural frequencies and estimates of damping are determined. Further, the effect of load (wave, wind and dynamic bending moment) on the nat- ural frequencies is investigated and clear correlation between load level and natural frequen- cy is demonstrated, which points to the importance of soil nonlinearity.

EURODYN 2020 XI International Conference on Structural Dynamics M. Papadrakakis, M. Fragiadakis, C. Papadimitriou (eds.) Athens, Greece, 23–26 November 2020

ISSN:2311-9020 © 2020 The Authors. Published by EASD Procedia.

Peer-review under responsibility of the Organizing Committee of EURODYN 2020.

(2)

.DULQ1RUpQ&RVJULIIDQG$PLU0.D\QLD

1 INTRODUCTION

$FFRUGLQJ WR >@ VRLO VWUXFWXUH LQWHUDFWLRQ 66, HIIHFWV FDQ UHGXFH WKHIL[HGEDVH IXQGD PHQWDOIUHTXHQF\PRUHWKDQLQWKHIUHTXHQF\UDQJHDERYH!+]7KHUHIRUHDQDO\VLV WRROVQHHGWRLQFOXGHDQDFFXUDWHGHVFULSWLRQRIWKHVRLO,QWKLVFRQWH[WDQDO\VLVRIILHOGGDWD LVLPSRUWDQWIRUFDOLEUDWLQJDQGYHULI\LQJSXUSRVHV+RZHYHURQO\PHDVXUHPHQWVIURPDIHZ LQVWDOODWLRQVDUHUHSRUWHGLQWKHOLWHUDWXUH6RPHRIWKHVHDUHPHQWLRQHGEHORZ

,Q>@DQDO\VHVRIPRUHWKDQ³URWRUVWRS´WHVWVSHUIRUPHGRQRIIVKRUHZLQGWXUELQHV IRXQGHGRQPRQRSLOHVLQIRXUZLQGSDUNVDUHGHVFULEHG,Q>@DQDO\VHVRIPHDVXUHPHQWGDWD IURP RQH RIIVKRUH ZLQG WXUELQH VWUXFWXUH RQ D PRQRSLOH IRXQGDWLRQ LQ +RUQV 5HHI ,, ZLQG IDUPDUHSUHVHQWHG,Q>@UHVXOWVDUHSUHVHQWHGIURPDQDO\VHVRIURWRUVWRSWHVWVSHUIRUPHGRQ RQHRIIVKRUHZLQGWXUELQHRQDPRQRSLOHLQ%XUER%DQNVZLQGIDUP5HVHDUFKLQ>@SUHVHQWV UHVXOWVIURPDORDGPHDVXULQJFDPSDLJQRQRQHRIIVKRUHZLQGWXUELQHRQDPRQRSLOHLQ+RUQV 5HY:LQG)DUP6WXGLHVFDUULHGRXWLQ>@UHSRUWPHDVXUHPHQWVRIRYHUDOOGDPSLQJIURP

³URWRUVWRS´WHVWLQWKH+RUQV5HYDQGWKH%XUERRIIVKRUHZLQGIDUPV)LQDOO\>@DQG>@

SUHVHQW GDWD IURP D ORQJWHUP PRQLWRULQJ FDPSDLJQ DQG RYHUVSHHG VWRSV SHUIRUPHG DW WKH

%HOZLQGZLQGIDUP

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

2 SITE CONDITIONS, TURBINE STRUCTURE AND INSTRUMENTATION

%RWK VLWHV DUH ORFDWHG LQ WKH 1RUWK 6HD 7KH JURXQG FRQGLWLRQV DW WKH ILUVW VLWH DUH VDQG GRPLQDWHGZKLOHWKHVHFRQGVLWHLVSUHGRPLQDQWO\FOD\0HDVXUHPHQWGDWDIURPRQHWRZHUDW HDFKVLWHDUHXVHGLQWKLVVWXG\7KHWRZHUDWWKHVDQG\VLWHLVHTXLSSHGZLWKVWUDLQJDXJHVDW IRXUOHYHOVRQWKHLQQHUZDOORIWKHPRQRSLOH03DQGWKHLQQHUZDOORIWKHWUDQVLWLRQSLHFH 73,QWKLVVWXG\PHDVXUHGYHUWLFDOVWUDLQLQ73DUHDQDO\VHGDQGLQDGGLWLRQLQIRUPDWLRQ DERXW ZLQG VSHHG IURP PHDVXUHPHQW DW WKH WRZHU LV XVHG 7KH WRZHU DW WKH FOD\H\ VLWH LV HTXLSSHG ZLWK KRUL]RQWDO DQG YHUWLFDO DFFHOHURPHWHUV FORVH WR WKH WRZHU ERWWRP DQG VWUDLQ JDXJHV DW VHYHUDO OHYHOV LQ WKH WRZHU WKH WUDQVLWLRQ SLHFH DQG WKH PRQRSLOH ,Q WKLV VWXG\

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

(3)

)LJXUH*URXQGFRQGLWLRQVPRQRSLOHOD\RXWDQGVHQVRUORFDWLRQOHIWVDQG\VLWHULJKWFOD\H\VLWH

6LWH 6LWH

*URXQGFRQGLWLRQV 6DQGGRPLQDWHG &OD\GRPLQDWHG

:DWHUGHSWK P P

7XUELQHSRZHU 0: 0:

0RQRSLOHGLDPHWHU P P

,QVWUXPHQWDWLRQ YHUWLFDOVWUDLQJDXJHVLQ

73(/ YHUWLFDOVWUDLQJDXJHVLQ03

(/KRUL]RQWDO;DQG<

DFFHOHURPHWHULQWRZHU(O

6DPSOLQJIUHTXHQF\ +] +]

7DEOH*URXQGFRQGLWLRQV2:7DQGLQVWUXPHQWDWLRQ

3 WIND AND WAVE INFORMATION

7KHUHVSRQVHLQLGOLQJSHULRGVDUHPRUHDIIHFWHGE\WKHIRXQGDWLRQVWLIIQHVVDQGGDPSLQJ WKDQWKHUHVSRQVHGXULQJSURGXFWLRQZKLFKLVSULPDULO\LQIOXHQFHGE\DHURG\QDPLFGDPSLQJ DQG VWLIIQHVV 7KHUHIRUH WKH IRFXV LQ WKLV VWXG\ LV RQ LGOLQJ SHULRGV )RU WKH VDQG\VLWH WKH WXUELQH LV LGOLQJ WKURXJKRXW DOO WLPH SHULRGV IURP ZKLFK GDWD ZHUH UHFHLYHG ZKLOH IRU WKH FOD\H\VLWHWKHWXUELQHLVLGOLQJLQEHWZHHQSHULRGVRISURGXFWLRQ6RPHRIWKHVHLGOLQJSHUL RGVODVWHGRQO\DIHZPLQXWHVZKLOHRWKHUVODVWHGIRUVHYHUDOGD\V)RUGDWDXVHGLQWKLVVWXG\

D UHTXLUHPHQW LV VHW IRU D PLQLPXP LGOLQJ SHULRG RI PLQXWHV ZLWKWKH ILUVW DQGODVW WZR PLQXWHV GLVFDUGHG WR DYRLG LQIOXHQFH IURP VWDUWXS DQG VKXWGRZQ RI WKH WXUELQH )LJXUH VKRZVWKHGLVWULEXWLRQRIWKHDQDO\VHGWLPHSHULRGVRYHUZLQGVSHHGVZDYHKHLJKWVDQGZLQG DQGZDYHGLUHFWLRQVGHVFULEHGDVDYHUDJHVLQPLQXWHVSHULRGV7KHOHQJWKRIWKHUHGELQV LQWKH5RVHGLDJUDPVFRUUHVSRQGVWRWKHQXPEHURIPLQXWHVSHULRGVZLWKWKLVREVHUYDWLRQ HJDERXWKXQGUHGPLQXWHVSHULRGVZLWKZLQGGLUHFWLRQEHWZHHQDQGGHJUHHIRU WKHVDQG\VLWH

(4)

.DULQ1RUpQ&RVJULIIDQG$PLU0.D\QLD

)LJXUH'LVWULEXWLRQRIDYHUDJHLQPLQXWHVSHULRGVZLQGVSHHGZDYHKHLJKWDQGZLQGDQGZDYHGLUHFWLRQ IRUWKHDQDO\VHGWLPHSHULRGVOHIWVDQG\VLWHULJKWFOD\H\VLWH

4 DETERMINATION OF NATURAL FREQUENCIES

7KHQDWXUDOIUHTXHQFLHVDUHGHWHUPLQHGXVLQJWKHIROORZLQJ))7EDVHGPHWKRGRORJ\

x 7KH LGOLQJ SHULRGV DUH GLYLGHG LQWR PLQXWHV VHJPHQWV DQG ))7 LV SHUIRUPHG RQ HDFKVHJPHQWXVLQJDPLQXWHVDQDO\VLVSHULRGDQGRYHUODSUHVXOWLQJLQRQH 3RZHU 6SHFWUXP 'HQVLW\ 36' IRU HDFK VHJPHQW ZLWK D IUHTXHQF\ UHVROXWLRQ RI +]

x 7R GHWHUPLQH WKH RYHUDOO QDWXUDO IUHTXHQFLHV DQ DYHUDJH 36' LV FDOFXODWHG IURP DOO 36'VIRUWKHLQGLYLGXDOWLPHSHULRGVDQGWKHQDWXUDOIUHTXHQFLHVDUHLGHQWLILHGIURP WKHSHDNVLQWKHDYHUDJH36'

x 7RVWXG\DSRVVLEOHHIIHFWRIWKHORDGRQWKHQDWXUDOIUHTXHQFLHVWKHILUVWQDWXUDOIUH TXHQFLHVDUHGHWHUPLQHGIURPWKH36'VIRUDOOLQGLYLGXDOPLQVHJPHQWVDQGSORWWHG DJDLQVWDYHUDJHZLQGVSHHGZDYHKHLJKWDQGFDOFXODWHGG\QDPLFEHQGLQJPRPHQWLQ WKHUHVSHFWLYHPLQSHULRG$YHUDJLQJE\XVHRIRYHUODSVKDYHWKHGLVDGYDQWDJHRI UHGXFLQJ WKH IUHTXHQF\ UHVROXWLRQ 7KHUHIRUH HDFK GHWHUPLQDWLRQ RI WKH ILUVW QDWXUDO IUHTXHQF\LQWKLVSDUWRIWKHVWXG\LVEDVHGRQUHVXOWVIURP))7DQDO\VLVRIPLQXWHV VHJPHQWVZLWKRXWDYHUDJLQJ

7KHUHVSRQVHRIDQRIIVKRUHZLQGWXUELQHLVGLUHFWLRQDOGHSHQGHQWGXHWRWKHWKUXVWRQWKH URWRU>@LHWKHUHPD\EHDVPDOOGLIIHUHQFHLQWKHQDWXUDOIUHTXHQFLHVLQWKH\DZGLUHFWLRQ )RUHDIWDQGSHUSHQGLFXODUWR\DZGLUHFWLRQ6LGHVLGH%HIRUHDSSO\LQJWKHDERYHPHWKRG RORJ\WKHWZRGLUHFWLRQVDUHWKHUHIRUHDQDO\VHGVHSDUDWHO\E\WUDQVIRUPLQJWKHPHDVXUHGDF FHOHUDWLRQVDQGVWUDLQVWRDORFDOFRRUGLQDWHV\VWHPGHWHUPLQHGE\WKHQDFHOOHGLUHFWLRQXVLQJ WKHIROORZLQJHTXDWLRQ

൤ ܵ݅݀݁ െ ݏ݅݀݁

ܨ݋ݎ݁ െ ݂ܽݐ ൨ = ቂ cos ߠ െ sin ߠ sin ߠ cos ߠ ቃ ቂ ܺ

ܻ ቃ

ZKHUHTLVWKHQDFHOOHGLUHFWLRQIURP1RUWK<

)LJXUHVKRZVWKHRYHUDOO36'DYHUDJHRI36'VIURPDOOPLQSHULRGVZLWKWKHLGHQWL ILHG QDWXUDO IUHTXHQFLHV EHORZ +] 7KH ILUVW EHQGLQJ PRGHV FDQ EH VHHQ DW +] DQG +]DQGWKHVHFRQGEHQGLQJPRGHVDW+]DQG+]IRUWKHVDQG\DQGFOD\H\VLWHV UHVSHFWLYHO\7KHSHDNVLQEHWZHHQWKHVWDQGVHFRQGEHQGLQJPRGHVDUHEHOLHYHGWRFRUUH VSRQGWREODGHEHQGLQJPRGHV

(5)

)LJXUH2YHUDOO36'DYHUDJHRIDOOPLQSHULRGVZLWKLGHQWLILHGQDWXUDOIUHTXHQFLHVEHORZ+]OHIWVDQG GRPLQDWHGVLWHULJKWFOD\GRPLQDWHGVLWH

)LJXUHVKRZVWKHILUVWQDWXUDOIUHTXHQFLHVLQIRUHDIWDQGVLGHVLGHGLUHFWLRQGHWHUPLQHG IRUDOOLQGLYLGXDOPLQVHJPHQWVDQGSORWWHGYHUVXVORDGLHZLQGVSHHGVLJQLILFDQWZDYH KHLJKWDQGWRWDOG\QDPLFEHQGLQJPRPHQWFDOFXODWHGIURPPHDVXUHGVWUDLQIRUWKHWZRVLWHV /LQHDUILWVWRGDWDDUHDOVRVKRZQLQWKHILJXUHV

)LJXUH)LUVWQDWXUDOIUHTXHQF\IURP))7LQVLGHVLGHGLUHFWLRQUHGDQGIRUHDIWGLUHFWLRQEODFNSORWWHG DJDLQVWZLQGVSHHGZDYHKHLJKWDQGWRWDOG\QDPLFEHQGLQJPRPHQWOHIWVDQG\VLWHULJKWFOD\H\VLWH 7KH UHVXOWV VKRZ WKDW WKH ILUVW QDWXUDO IUHTXHQF\ GHFUHDVHV ZLWK LQFUHDVHG ORDG ZKLFK SRLQWVWRLQIOXHQFHRIVRLOQRQOLQHDULW\7KLVLVPRVWHYLGHQWIRUILUVWQDWXUDOIUHTXHQF\SORWWHG YHUVXV WKH EHQGLQJ PRPHQW ZKLFK GLUHFWO\ UHSUHVHQWV WKH ORDG DFWLQJ RQ WKH PRQRSLOH

(6)

.DULQ1RUpQ&RVJULIIDQG$PLU0.D\QLD

+RZHYHU)LJXUHDOVRVKRZVTXLWHDODUJHVSUHDGLQGDWDDWWKHVDPHWLPHDVWKHYDULDWLRQLQ WKHQDWXUDOIUHTXHQFLHVZLWKORDGLVYHU\VPDOO7RUHGXFHWKHVSUHDGRIGDWDDQGJHWDFOHDUHU WUHQGLWPD\EHFRQVLGHUHGWRLQFUHDVHWKHIUHTXHQF\UHVROXWLRQE\H[WHQGLQJWKHOHQJWKRIWKH WLPHVHULHVXVHGLQWKH))71HYHUWKHOHVVWKHZLQGDQGZDYHORDGDUHFKDQJLQJZLWKWLPHDQG WKHYDULDWLRQLQORDGIRUHDFKREVHUYDWLRQZLOOWKHUHIRUHLQFUHDVHLIWKHOHQJWKRIWKHWLPHVH ULHV DUH LQFUHDVHG $V DQ DOWHUQDWLYH RWKHU PHWKRGV VXFK DVWKH WLPH GRPDLQ 0XOWLFKDQQHO

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

5 ASSESSMENT OF DAMPING

'DPSLQJFDQEHDVVHVVHGIURPWKHPHDVXUHGGDWDERWKLQWKHIUHTXHQF\GRPDLQDQGLQWKH WLPHGRPDLQ&RPPRQIRUDOOPHWKRGVLVWKDWWKH\HVWLPDWHWKHRYHUDOOGDPSLQJRIWKHV\VWHP ZKLFKIRUWKH¿UVWEHQGLQJPRGHVFRQVLVWVRIDFRPELQDWLRQRIDHURG\QDPLFGDPSLQJGDPS LQJGXHWRFRQVWUXFWLYHGHYLFHVVXFKDVDWXQHGPDVVGDPSHUVDQGDGGLWLRQDOGDPSLQJHJ VWUXFWXUDO K\GURG\QDPLF DQG VRLO GDPSLQJ >@ :KHQ WKH WXUELQH LV SDUNHG RU LGOLQJ WKH DHURHODVWLFGDPSLQJLVYHU\ORZDQGLWLVWKHUHIRUHGLVUHJDUGHGLQWKLVVWXG\

,Q WKH IUHTXHQF\ GRPDLQ WKH KDOISRZHU EDQGZLGWK PHWKRG FDQ EH XVHG WR HVWLPDWH WKH GDPSLQJ UDWLR %\ DVVXPLQJ WKDW WKH GDPSLQJ UDWLR] LV VPDOO OHVV WKDQ DERXW WKH GDPSLQJUDWLRLVHVWLPDWHGXVLQJWKHIROORZLQJHTXDWLRQ

] ൎ ݂

2

െ ݂

1

݊

ZKHUHIDQGIDUHWKHXSSHUDQGORZHUKDOISRZHUIUHTXHQFLHVDQGIQLVWKHQDWXUDOIUHTXHQF\

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

(7)

IQ+] ] IQ+] ]

)RUHDIW

6LGHVLGH

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

6 CONCLUSIONS

,Q WKLV VWXG\ WKH ILUVW QDWXUDO IUHTXHQFLHV DQG DVVRFLDWHG GDPSLQJ DUH GHWHUPLQHG IURP PHDVXUHGG\QDPLFILHOGGDWDIURPWZRZLQGIDUPVLQWKH1RUWK6HDZLWKPRQRSLOHIRXQGD WLRQV$WWKHILUVWVLWHWKHJURXQGFRQGLWLRQVDUHGRPLQDWHGE\VDQGDQGDWWKHVHFRQGE\FOD\

2QO\PHDVXUHPHQWGDWDIURPSHULRGVZKHQWKHWXUELQHVDUHLGOLQJDUHLQFOXGHGLQWKHDQDO\VHV

$FOHDUFRUUHODWLRQLVGHPRQVWUDWHGEHWZHHQORDGOHYHODQGIUHTXHQF\ZKLFKSRLQWVWRWKH LPSRUWDQFHRIVRLOQRQOLQHDULW\7KHHVWLPDWHGGDPSLQJUDWLRIRUWLPHSHULRGVZKHQWKHWXU ELQH LV LGOLQJ LV DERXW ZLWK KLJKHU GDPSLQJ IRU WKH FOD\H\ VLWH FRPSDUHG WR WKH VDQG\VLWH7KHHVWLPDWHGGDPSLQJUDWLRVDUHVRPHZKDWORZHUWKDQUHSRUWHGIURPRWKHUILHOG WHVWV

ACKNOWLEDGEMENTS

7KLVVWXG\ZDVSHUIRUPHGZLWKVXSSRUWIURPWKHUHVHDUFKSURMHFW5(':,15HGXFLQJFRVW RI RIIVKRUH ZLQG E\ LQWHJUDWHG VWUXFWXUDO DQG JHRWHFKQLFDO GHVLJQ IXQGHG E\ WKH 5HVHDUFK

&RXQFLORI1RUZD\*UDQW$JUHHPHQW7KLVVXSSRUWLVKLJKO\DSSUHFLDWHG

REFERENCES

>@ *0ÈODPR--$]QiUH]/$3DGUyQ$(0DUWtQH]&DVWUR5*DOOHJR20DHVR '\QDPLF VRLOVWUXFWXUH LQWHUDFWLRQ LQ RIIVKRUH ZLQG WXUELQHV RQ PRQRSLOHV LQ OD\HUHG VHDEHGEDVHGRQUHDOGDWDOcean Engineering ±

>@ 0 'DPJDDUG /% ,EVHQ /9 $QGHUVHQ -.) $QGHUVHQ &URVVZLQG PRGDO SURSHUWLHVRIRIIVKRUHZLQGWXUELQHVLGHQWLILHGE\IXOOVFDOHWHVWLQJJ. Wind Eng. Ind.

Aerodyn ±

>@ ' .DOOHKDYH &/ 7KLOVWHG $ 7UR\D 2EVHUYHG YDULDWLRQV RI PRQRSLOH IRXɩGDWLRɩ VWLIIQHVVFrontiers in Offshore Geotechnics ,,,±

>@ :*9HUVWHLMOHQ$90HWULNLQH-6+RYLQJ(6PLG:('H9ULHV(VWLPDWLRQRI WKH9LEUDWLRQ'HFUHPHQWRIDQ2IIVKRUH:LQG7XUELQH6XSSRUW6WUXFWXUH&DXVHGE\LWV ,QWHUDFWLRQ ZLWK 6RLO KWWSUHVROYHUWXGHOIWQOXXLGIDGHF FIGE

(8)

.DULQ1RUpQ&RVJULIIDQG$PLU0.D\QLD

>@ 7+DOG&0¡UFK/-HQVHQ&/H%ODQF%DNPDU.$KOH5HYLVLWLQJPRQRSLOHGHVLJQ XVLQJS\FXUYHV5HVXOWVIURPIXOOVFDOHPHDVXUHPHQWVRQ+RUQV5HYEWEA.

>@ 1-7DUS-RKDQVHQ/&$QGHUVHQ('DPJDDUG&0¡UFK6)UDQGVHQ%.DOOHV¡H

&RPSDULQJ6RXUFHV RI'DPSLQJ RI &URVV:LQG 0RWLRQIn European Offshore Wind:

Conference & Exhibition The European Wind Energy Association,

>@ 56KLU]DGHK::HLMWMHQV3*XLOODXPH&'HYULHQGW7KHG\QDPLFVRIDQRIIVKRUH ZLQG WXUELQH LQ SDUNHG FRQGLWLRQV D FRPSDULVRQ EHWZHHQ VLPXODWLRQV DQG PHDVXUHPHQWVWind Energ

>@ 5 6KLU]DGHK & 'HYULHQGW 0$ %LGDNKYLGL 3 *XLOODXPH ([SHULPHQWDO DQG FRPSXWDWLRQDO GDPSLQJ HVWLPDWLRQ RI DQ RIIVKRUH ZLQG WXUELQH RQ D PRQRSLOH IRXQGDWLRQJournal of Wind Engineering and Industrial Aerodynamics

>@ *$3DSDJLDQQRSRXORV*'+DW]LJHRUJLRX2QWKHXVHRIWKHKDOISRZHUEDQGZLGWK PHWKRG WR HVWLPDWH GDPSLQJ LQ EXLOGLQJ VWUXFWXUHVSoil Dynamics and Earthquake Engineering ±

>@ & 'HYULHQGW 0 (O.DIDI\ * 'H 6LWWHU 3- -RUGDHQV 3 *XLOODXPH &RQWLQXRXV G\QDPLFPRQLWRULQJRIDQRIIVKRUHZLQGWXUELQHRQDPRQRSLOHIRXQGDWLRQProceedings

of ISMA,

Referanser

RELATERTE DOKUMENTER

|@| @ 31 Wkdw lv/ li wkh ehqhwv iurp dedwhphqw duh glvfrxqwhg dw wkh vdph udwh dv ehqhwv iurp lqyhvwphqwv lq uhdo fdslwdo/ lw lv lpsolflwo| dvvxphg wkdw zh duh lq d vwdwlrqdu|

$FFRUGLQJ WR WKH ILUVW K\SRWKHVLV WKH VKLIW LQ UHODWLYH ODERXU GHPDQG LV ODUJHO\ GXH WR D GLVSURSRUWLRQDOFKDQJHLQSURGXFWLYLW\FDXVHGE\QRQQHXWUDOWHFKQLFDOFKDQJHVNLOOHGODERXU KDV

Iluvw/ djjuhjdwlqj xs wr lqgxvwu| ohyho0gdwd/ wkh vdph ohyho ri fkdqjhv lq wkh zrun irufh frpsrvlwlrq lv irxqg iru wkh Qruzhjldq hfrqrp| dv iru rwkhu frxqwulhv1 Prvw ri wkh fkdqjhv

Wkh lqwxlwlrq ri wkh prgho lv yhu| vlpsoh dqg vwudljkwiruzdug1 Lpdjlqh d vlwxdwlrq lq zklfk doo vprnhuv duh lqfrqvlghudwh vxfk wkdw qrq0vprnhuv duh iuhtxhqwo| h{srvhg wr

$IULFD WKH VWXG\ LQ 1DPLELD LV WKH ILUVW WR EH SXEOLVKHG 7KH UHSRUW WKRXJK ODUJHO\ GHVFULSWLYH DOVR FRPSULVHV PRUH VRSKLVWLFDWHG DQDO\VHV )XUWKHU UHVXOWV IURP WKH VWXG\ ZLOO

A macro-element pile foundation model for integrated analyses of monopile-based offshore wind turbines..

∙ To study a possible effect of the load on the natural frequencies, the first natural frequency is determined from the PSDs from the individual 20-min segments, and plotted against

6LWH FKDUDFWHUL]DWLRQ DW WKH ‘\VDQG UHVHDUFK IDFLOLW\ VWDUWHG LQ DV SDUW RI WKH 1RUZHJLDQ *HR7HVW VLWH SURMHFW 1*76$ ZLGH UDQJH RI LQ VLWX WRROV JHRSK\VLFDO WHFKQLTXHV