### Abstract

A wind turbine blade generally has complex structures including several layers of composite materials with shear webs. It is essential but also inherently difficult to accurately and rapidly calculate the cross-sectional properties of a complex composite blade for the structural dynamics and aeroelasticity analysis of the blade. In this paper, a novel mathematical model for calculating the cross-sectional properties of composite blades has been developed by incorporating classical lamination theory (CLT) with extended Bredt-Batho shear flow theory (EBSFT). The mathematical model considers the shear web effects and warping effects of composite blades thus greatly improves the accuracy of torsional stiffness calculation compared with the results from direct use of 3D laminate theories. It also avoids complicated post-processing of force-displacement data from computationally expensive 3D finite-element analysis (FEA) thus considerably improves the computational efficiency. A Matlab program was developed to verify the accuracy and efficiency of the mathematical model and a series of benchmark calculation tests were undertaken. The results show that good agreement is achieved comparing with the data from experiment and FEA, and improved accuracy of torsional stiffness calculation due to consideration of the shear web effects is observed comparing with an existing cross-sectional analysis code PreComp.

Original language | English |
---|---|

Pages (from-to) | 52-60 |

Number of pages | 9 |

Journal | Renewable Energy |

Volume | 64 |

Early online date | 20 Nov 2013 |

DOIs | |

Publication status | Published - Apr 2014 |

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### Keywords

- Classical lamination theory (CLT)
- Composite
- Cross-sectional analysis
- Extended Bredt-Batho shear flow theory (EBSFT)
- Mathematical model
- Wind turbine blade

### ASJC Scopus subject areas

- Renewable Energy, Sustainability and the Environment

### Cite this

*Renewable Energy*,

*64*, 52-60. https://doi.org/10.1016/j.renene.2013.10.046

**A mathematical model for calculating cross-sectional properties of modern wind turbine composite blades.** / Wang, Lin; Liu, Xiongwei; Guo, Lianggang; Renevier, Nathalie; Stables, Matthew.

Research output: Contribution to journal › Article

*Renewable Energy*, vol. 64, pp. 52-60. https://doi.org/10.1016/j.renene.2013.10.046

}

TY - JOUR

T1 - A mathematical model for calculating cross-sectional properties of modern wind turbine composite blades

AU - Wang, Lin

AU - Liu, Xiongwei

AU - Guo, Lianggang

AU - Renevier, Nathalie

AU - Stables, Matthew

PY - 2014/4

Y1 - 2014/4

N2 - A wind turbine blade generally has complex structures including several layers of composite materials with shear webs. It is essential but also inherently difficult to accurately and rapidly calculate the cross-sectional properties of a complex composite blade for the structural dynamics and aeroelasticity analysis of the blade. In this paper, a novel mathematical model for calculating the cross-sectional properties of composite blades has been developed by incorporating classical lamination theory (CLT) with extended Bredt-Batho shear flow theory (EBSFT). The mathematical model considers the shear web effects and warping effects of composite blades thus greatly improves the accuracy of torsional stiffness calculation compared with the results from direct use of 3D laminate theories. It also avoids complicated post-processing of force-displacement data from computationally expensive 3D finite-element analysis (FEA) thus considerably improves the computational efficiency. A Matlab program was developed to verify the accuracy and efficiency of the mathematical model and a series of benchmark calculation tests were undertaken. The results show that good agreement is achieved comparing with the data from experiment and FEA, and improved accuracy of torsional stiffness calculation due to consideration of the shear web effects is observed comparing with an existing cross-sectional analysis code PreComp.

AB - A wind turbine blade generally has complex structures including several layers of composite materials with shear webs. It is essential but also inherently difficult to accurately and rapidly calculate the cross-sectional properties of a complex composite blade for the structural dynamics and aeroelasticity analysis of the blade. In this paper, a novel mathematical model for calculating the cross-sectional properties of composite blades has been developed by incorporating classical lamination theory (CLT) with extended Bredt-Batho shear flow theory (EBSFT). The mathematical model considers the shear web effects and warping effects of composite blades thus greatly improves the accuracy of torsional stiffness calculation compared with the results from direct use of 3D laminate theories. It also avoids complicated post-processing of force-displacement data from computationally expensive 3D finite-element analysis (FEA) thus considerably improves the computational efficiency. A Matlab program was developed to verify the accuracy and efficiency of the mathematical model and a series of benchmark calculation tests were undertaken. The results show that good agreement is achieved comparing with the data from experiment and FEA, and improved accuracy of torsional stiffness calculation due to consideration of the shear web effects is observed comparing with an existing cross-sectional analysis code PreComp.

KW - Classical lamination theory (CLT)

KW - Composite

KW - Cross-sectional analysis

KW - Extended Bredt-Batho shear flow theory (EBSFT)

KW - Mathematical model

KW - Wind turbine blade

UR - http://www.scopus.com/inward/record.url?scp=84888029860&partnerID=8YFLogxK

U2 - 10.1016/j.renene.2013.10.046

DO - 10.1016/j.renene.2013.10.046

M3 - Article

VL - 64

SP - 52

EP - 60

JO - Renewable Energy

JF - Renewable Energy

SN - 0960-1481

ER -