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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2023, Vol. 17 Issue (7): 1086-1099   https://doi.org/10.1007/s11709-023-0976-8
  本期目录
Reliability-based design optimization of offshore wind turbine support structures using RBF surrogate model
Changhai YU, Xiaolong LV, Dan HUANG(), Dongju JIANG
Department of Engineering Mechanics, Hohai University, Nanjing 211100, China
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Abstract

An efficient reliability-based design optimization method for the support structures of monopile offshore wind turbines is proposed herein. First, parametric finite element analysis (FEA) models of the support structure are established by considering stochastic variables. Subsequently, a surrogate model is constructed using a radial basis function (RBF) neural network to replace the time-consuming FEA. The uncertainties of loads, material properties, key sizes of structural components, and soil properties are considered. The uncertainty of soil properties is characterized by the variabilities of the unit weight, friction angle, and elastic modulus of soil. Structure reliability is determined via Monte Carlo simulation, and five limit states are considered, i.e., structural stresses, tower top displacements, mudline rotation, buckling, and natural frequency. Based on the RBF surrogate model and particle swarm optimization algorithm, an optimal design is established to minimize the volume. Results show that the proposed method can yield an optimal design that satisfies the target reliability and that the constructed RBF surrogate model significantly improves the optimization efficiency. Furthermore, the uncertainty of soil parameters significantly affects the optimization results, and increasing the monopile diameter is a cost-effective approach to cope with the uncertainty of soil parameters.

Key wordsreliability-based design optimization    offshore wind turbine    parametric finite element analysis    RBF surrogate model    uncertain soil parameter
收稿日期: 2022-10-25      出版日期: 2023-09-20
Corresponding Author(s): Dan HUANG   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2023, 17(7): 1086-1099.
Changhai YU, Xiaolong LV, Dan HUANG, Dongju JIANG. Reliability-based design optimization of offshore wind turbine support structures using RBF surrogate model. Front. Struct. Civ. Eng., 2023, 17(7): 1086-1099.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-023-0976-8
https://academic.hep.com.cn/fsce/CN/Y2023/V17/I7/1086
Fig.1  
Fig.2  
environmental conditionvalue
water depth dw (m)20
reference wind speed vref (m/s)50
50-year extreme current speed vc,50 (m/s)0.8
50-year significant wave height Hs50 (m)6.9
50-year pear spectral period Ts50 (s)7.7
Tab.1  
Fig.3  
load caseFAx (N)FAy (N)FAz (N)MAx (N·m)MAy (N·m)MAz (N·m)
6.1 (idling)4699047500072670?1129000?112600?217600
Tab.2  
Fig.4  
propertyvalue
Young’s modulus (GPa)210
Poisson’s ratio0.3
density (kg/m3)8500
yield strength (MPa)355
Tab.3  
soil typeYoung’s modulus (MPa)effective unit weight (kN/m3)angle of friction (° )cohesion (kPa)friction coefficient
loose sand301033.00.50.40
medium sand351035.00.50.43
dense sand471038.50.50.48
Tab.4  
IDNsteelESsteelNsoilESsoilnumber of elementtower top displacement (m)calculation time (min)
1162.0164100800.81423
2321.0322298980.789622
3640.56411033520.7804160
Tab.5  
Fig.5  
modeRef. [44]presentdifference (%)
first side-side0.2420.2440.83
first fore-aft0.2410.2451.66
second side-side1.3661.362?0.29
second fore-aft1.4891.432?3.82
Tab.6  
displacementRef. [46]presentdifference (%)
displacement at RNA1.6441.6600.97
displacement at tower base0.0880.0891.14
Tab.7  
Fig.6  
Fig.7  
variabledescriptionCOVdistribution
D1, D2, D3, T1, T2, T3, Est, ρststeel properties0.01normal
FAx, FAy, FAz, MAx, MAy, MAz, FHx, MHy, Pwloads0.10Gumbel
mRNARNA mass0.02normal
γso, Eso1, Eso2, Eso3, φso1, φso2, φso3soil properties0.03normal
Tab.8  
design variableinitial value (m)lower bound (m)upper bound (m)
D13.8734.5
D2657
D3657
T10.0190.0120.025
T20.0270.020.035
T30.060.040.07
Tab.9  
Fig.8  
Fig.9  
Fig.10  
variables typevariableinitial valueDDO resultRBDO result
design variablesD1 (m)3.874.494.34
D2 (m)6.005.776.37
D3 (m)6.005.786.39
T1 (m)0.0190.0120.012
T2 (m)0.0270.0220.02
T3 (m)0.0600.0480.053
objective functionV (m3)98.7376.4087.92
reliability index βg1?infinf
g2?infinf
g3?1.8993.717
g4?2.0463.957
g5?3.358inf
g6?infinf
Tab.10  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
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