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

Lin Wang, Xiongwei Liu, Lianggang Guo, Nathalie Renevier, Matthew Stables

Research output: Contribution to journalArticle

20 Citations (Scopus)

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 languageEnglish
Pages (from-to)52-60
Number of pages9
JournalRenewable Energy
Volume64
Early online date20 Nov 2013
DOIs
Publication statusPublished - Apr 2014

Fingerprint

Wind turbines
Turbomachine blades
Mathematical models
Composite materials
Stiffness
Aeroelasticity
Finite element method
Structural dynamics
Shear flow
Computational efficiency
Laminates
Processing
Experiments

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

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

In: Renewable Energy, Vol. 64, 04.2014, p. 52-60.

Research output: Contribution to journalArticle

Wang, Lin ; Liu, Xiongwei ; Guo, Lianggang ; Renevier, Nathalie ; Stables, Matthew. / A mathematical model for calculating cross-sectional properties of modern wind turbine composite blades. In: Renewable Energy. 2014 ; Vol. 64. pp. 52-60.
@article{eab5a6e0799c4ce2bd6fbc71f8b7e6ad,
title = "A mathematical model for calculating cross-sectional properties of modern wind turbine composite blades",
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.",
keywords = "Classical lamination theory (CLT), Composite, Cross-sectional analysis, Extended Bredt-Batho shear flow theory (EBSFT), Mathematical model, Wind turbine blade",
author = "Lin Wang and Xiongwei Liu and Lianggang Guo and Nathalie Renevier and Matthew Stables",
year = "2014",
month = "4",
doi = "10.1016/j.renene.2013.10.046",
language = "English",
volume = "64",
pages = "52--60",
journal = "Renewable Energy",
issn = "0960-1481",
publisher = "Elsevier",

}

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 -