Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution

Wave-induced dynamic loads yield displacement and stress propagation on the seabed beneath the offshore wind turbine foundation. Existing attempts to calculate the displacement/stress propagation based on commercial software packages or numerical solvers usually ignore the inertial effects and provi...

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Main Authors: Dimitrios G. Pavlou, Yuzhu Li
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2018/6250158
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spelling doaj-6a0a404601f740ba9d726d85096407032020-11-25T01:31:18ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472018-01-01201810.1155/2018/62501586250158Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic SolutionDimitrios G. Pavlou0Yuzhu Li1Department of Mechanical and Structural Engineering and Materials Science, University of Stavanger, 4036 Stavanger, NorwayDepartment of Mechanical and Structural Engineering and Materials Science, University of Stavanger, 4036 Stavanger, NorwayWave-induced dynamic loads yield displacement and stress propagation on the seabed beneath the offshore wind turbine foundation. Existing attempts to calculate the displacement/stress propagation based on commercial software packages or numerical solvers usually ignore the inertial effects and provide quasi-static solution for the dynamic problem or ignore the damping effect of the soil. Since real time displacement measurements on the seabed are difficult to be carried out, the existing results are not able to be validated and the conclusions are rather arbitrary. Analytic solutions can provide accurate results and are less time-consuming and more computationally efficient than the numerical approaches but difficult to be achieved. In the present study an exact solution of the wave propagation in the seabed under harmonic excitation of the wind turbine foundation is achieved. The solution is based on integral transforms and stress functions. Verification of the solution is provided and a representative example is solved and commended.http://dx.doi.org/10.1155/2018/6250158
collection DOAJ
language English
format Article
sources DOAJ
author Dimitrios G. Pavlou
Yuzhu Li
spellingShingle Dimitrios G. Pavlou
Yuzhu Li
Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
Mathematical Problems in Engineering
author_facet Dimitrios G. Pavlou
Yuzhu Li
author_sort Dimitrios G. Pavlou
title Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
title_short Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
title_full Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
title_fullStr Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
title_full_unstemmed Seabed Dynamic Response of Offshore Wind Turbine Foundation under Vertical Harmonic Loading: An Analytic Solution
title_sort seabed dynamic response of offshore wind turbine foundation under vertical harmonic loading: an analytic solution
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2018-01-01
description Wave-induced dynamic loads yield displacement and stress propagation on the seabed beneath the offshore wind turbine foundation. Existing attempts to calculate the displacement/stress propagation based on commercial software packages or numerical solvers usually ignore the inertial effects and provide quasi-static solution for the dynamic problem or ignore the damping effect of the soil. Since real time displacement measurements on the seabed are difficult to be carried out, the existing results are not able to be validated and the conclusions are rather arbitrary. Analytic solutions can provide accurate results and are less time-consuming and more computationally efficient than the numerical approaches but difficult to be achieved. In the present study an exact solution of the wave propagation in the seabed under harmonic excitation of the wind turbine foundation is achieved. The solution is based on integral transforms and stress functions. Verification of the solution is provided and a representative example is solved and commended.
url http://dx.doi.org/10.1155/2018/6250158
work_keys_str_mv AT dimitriosgpavlou seabeddynamicresponseofoffshorewindturbinefoundationunderverticalharmonicloadingananalyticsolution
AT yuzhuli seabeddynamicresponseofoffshorewindturbinefoundationunderverticalharmonicloadingananalyticsolution
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