Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory

The wind and wave loads on the offshore wind-turbine (OWT) structures with monopile foundations occur at specific frequencies. When these excitation frequencies are close to the natural frequencies of OWT structures, resonance can disturb the proper operation of the power-generation equipment and sh...

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Main Authors: Yanpei Jiang, Xiaomin Zhou, Yong Liu
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Advances in Civil Engineering
Online Access:http://dx.doi.org/10.1155/2023/8262901
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author Yanpei Jiang
Xiaomin Zhou
Yong Liu
author_facet Yanpei Jiang
Xiaomin Zhou
Yong Liu
author_sort Yanpei Jiang
collection DOAJ
description The wind and wave loads on the offshore wind-turbine (OWT) structures with monopile foundations occur at specific frequencies. When these excitation frequencies are close to the natural frequencies of OWT structures, resonance can disturb the proper operation of the power-generation equipment and shorten the service life of the structural system. Therefore, to ensure safe and efficient operation, the natural frequencies of the OWT structures with monopile foundations must be determined. To this end, a calculation method for the natural frequencies of the OWT structures with monopile foundations is proposed. This method, which considers the mass ratio (the ratio of the lumped mass on the top of the tower to the total mass of the tower, the transition piece, and the monopile above the mudline) as well as the nonuniform moment of inertia of the structures above the mudline and the soil–structure interaction (SSI), is derived using the Euler–Bernoulli beam differential equation and slope-displacement equation of a monopile according to the flexibility matrix, stiffness equivalent principle, and virtual work principle. Finally, the natural frequency calculation method is compared with finite element simulation and other calculation methods.
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spelling doaj-art-f455481f30874ccc92fa2d738cebdb962025-08-20T03:06:19ZengWileyAdvances in Civil Engineering1687-80942023-01-01202310.1155/2023/8262901Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam TheoryYanpei Jiang0Xiaomin Zhou1Yong Liu2School of Civil and Resource EngineeringSchool of Civil and Resource EngineeringSchool of Civil and Resource EngineeringThe wind and wave loads on the offshore wind-turbine (OWT) structures with monopile foundations occur at specific frequencies. When these excitation frequencies are close to the natural frequencies of OWT structures, resonance can disturb the proper operation of the power-generation equipment and shorten the service life of the structural system. Therefore, to ensure safe and efficient operation, the natural frequencies of the OWT structures with monopile foundations must be determined. To this end, a calculation method for the natural frequencies of the OWT structures with monopile foundations is proposed. This method, which considers the mass ratio (the ratio of the lumped mass on the top of the tower to the total mass of the tower, the transition piece, and the monopile above the mudline) as well as the nonuniform moment of inertia of the structures above the mudline and the soil–structure interaction (SSI), is derived using the Euler–Bernoulli beam differential equation and slope-displacement equation of a monopile according to the flexibility matrix, stiffness equivalent principle, and virtual work principle. Finally, the natural frequency calculation method is compared with finite element simulation and other calculation methods.http://dx.doi.org/10.1155/2023/8262901
spellingShingle Yanpei Jiang
Xiaomin Zhou
Yong Liu
Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
Advances in Civil Engineering
title Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
title_full Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
title_fullStr Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
title_full_unstemmed Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
title_short Simplified Calculation Method for the Natural Frequencies of the Offshore Wind Turbine Structures with Monopile Foundations Based on Euler–Bernoulli Beam Theory
title_sort simplified calculation method for the natural frequencies of the offshore wind turbine structures with monopile foundations based on euler bernoulli beam theory
url http://dx.doi.org/10.1155/2023/8262901
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AT xiaominzhou simplifiedcalculationmethodforthenaturalfrequenciesoftheoffshorewindturbinestructureswithmonopilefoundationsbasedoneulerbernoullibeamtheory
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