Skip to main content

Effects of Boundary Conditions on the Structural Dynamics of Wind Turbine Blades. Part 2: Edgewise Modes

  • Conference paper
  • First Online:
Dynamics of Coupled Structures, Volume 1

Abstract

Mode shapes and resonant frequencies of an individual wind turbine blade can be readily determined in either a laboratory or a blade test facility using experimental modal analysis. However, performing a modal test on a utility-scale wind turbine with several blades attached to a tower can be a challenge due to the number of sensors required, the size of these structures, and cost. Therefore, understanding the influence of the coupled three-bladed turbine/tower system and identifying a correlation between the dynamic behavior of an assembled wind turbine to an individual blade or three-bladed turbine on a hub is desirable. In the current paper, which is the second part of a two-part paper, variation in natural frequencies and mode shapes of a three-bladed turbine due to the increase in stiffness of the support is numerically studied using a finite element beam analysis (a similar study was performed on flapwise modes of a turbine and is presented in the first part of this paper). The results of the study reveals that differential edgewise modes of the turbine that represent approximately 2/3 of edgewise modes are independent of the rotational stiffness of the support; thus, these modes can be predicted when the modes of cantilevered single blade are known. However, collective edgewise modes change significantly by changing rotational stiffness of the support. The mode contribution matrix of the wind turbine attached to a tower indicates the necessary set of modal vectors of the tower and three-bladed turbine to accurately obtain the edgewise dynamics of the final assembly.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Similar content being viewed by others

References

  1. Hoa SV (1979) Vibration of a rotating beam with tip mass, J Sound Vib 67(3):369-381

    Article  MATH  Google Scholar 

  2. Peters DA, Rossow MP, Korn A, Ko T (1986) Design of helicopter rotor blades for optimum dynamic characteristics. Comput Math Appl 12(1 PART A):85–109

    Article  Google Scholar 

  3. Cui Y, Shi L, Zhao F (2010) Modal analysis of wind turbine blade made of composite laminated plates. In: Asia-Pacific power and energy engineering conference, APPEEC, Chengdu

    Google Scholar 

  4. Bechly ME, Clausen PD (1997) Structural design of a composite wind turbine blade using finite element analysis. Comput Struct 63(3):639–646

    Article  Google Scholar 

  5. Alhamaydeh M, Hussain S (2011) Optimized frequency-based foundation design for wind turbine towers utilizing soilstructure interaction. J Frankl Inst 348(7):1470–1487

    Article  MATH  Google Scholar 

  6. Li D, Ye Z, Chen Y, Nengsheng B (2003) Load spectrum and fatigue life analysis of the blade of horizontal axis wind turbine. Wind Eng 27(6):495–506

    Article  Google Scholar 

  7. Paquette J, Laird D, Griffith DT, Rip L (2006) Modeling and testing of 9 m research blades. In: 44th AIAA aerospace sciences meeting. 19, pp 14569–14581

    Google Scholar 

  8. Ye Z, Ma H, Bao N, Chen Y, Ding K (2001) Structure dynamic analysis of a horizontal axis wind turbine system using a modal analysis method. Wind Eng 25(4):237–248

    Article  Google Scholar 

  9. LoPiccolo J, Carr J, Niezrecki C, Avitabile P, Slattery M (2012) Validation of a finite element model used for dynamic stress–strain prediction. In: 30th IMAC, a conference on structural dynamics, vol 2, pp 205–214

    Google Scholar 

  10. Deines K, Marinone T, Schultz R, Farinholt K, Park G (2011) Modal analysis and SHM investigation of CX-100 wind turbine blade. In: 29th IMAC, a conference on structural dynamics, vol 5, pp 413–438

    Google Scholar 

  11. Marinone T, LeBlanc B, Harvie J, Niezrecki C, Avitabile P (2012) Modal testing of 9 m CX-100 turbine blades. In: 30th IMAC, a conference on structural dynamics, vol 2, pp 351–358

    Google Scholar 

  12. Harvie J, Avitabile P (2012) Comparison of some wind turbine blade tests in various configurations. In: 30th IMAC, a conference on structural dynamics, vol 2, pp 73–79

    Google Scholar 

  13. Baqersad J, Niezrecki C, Avitabile P, Slattery M (2013) Dynamic characterization of a free-free wind turbine blade assembly. In: 31th IMAC, a conference on structural dynamics, pp 215–220

    Google Scholar 

  14. Ozbek M, Rixen DJ, Erne O, Sanow G (2010) Feasibility of monitoring large wind turbines using photogrammetry. Energy 35(12):4802–4811

    Article  Google Scholar 

  15. Lundstrom T, Baqersad J, Niezrecki C, Avitabile P (2012) Using high-speed stereophotogrammetry techniques to extract shape information from wind turbine/rotor operating data. In: 30th IMAC, a conference on structural dynamics, vol 6, pp 269–275

    Google Scholar 

  16. Lundstrom T, Baqersad J, Niezrecki C (2013) Using high-speed stereophotogrammetry to collect operating data on a helicopter. In: 31th IMAC, a conference on structural dynamics

    Google Scholar 

  17. Yang S, Allen MS (2012) Output-only modal analysis using continuous-scan laser doppler vibrometry and application to a 20 kW wind turbine. Mech Syst Signal Process 31:228–245

    Article  Google Scholar 

  18. Griffith DT, Hunter PS, Kelton DW, Carne TG, Paquette JA (2009) Boundary condition considerations for validation of wind turbine blade structural models. In: SEM annual conference and exposition on experimental and applied mechanics, vol 2, pp 1117–1127

    Google Scholar 

  19. Baqersad J, Niezrecki C, Avitabile P (2014) Effects of boundary conditions on the structural dynamics of wind turbine blades. Part 1: flatwise modes. In: 32th IMAC, a conference on structural dynamics

    Google Scholar 

  20. [Abaqus/CAE 6.10-2] Dassault System (2010)

    Google Scholar 

  21. Baqersad J, Carr J, Lundstrom T, Niezrecki C, Avitabile P, Slattery M (2012) Dynamic characteristics of a wind turbine blade using 3D digital image correlation. In: Health monitoring of structural and biological systems, processing of SPIE 8348

    Google Scholar 

  22. Xiong L, Xianmin Z, Gangqiang L, Yan C, Zhiquan Y (2010) Dynamic response analysis of the rotating blade of horizontal axis wind turbine. Wind Eng 34(5):543–560

    Article  Google Scholar 

  23. Bir G (2009) Blades and towers modal analysis code (BModes): verification of blade modal analysis capability. In: 47th AIAA aerospace sciences meeting including the New Horizons forum and aerospace exposition

    Google Scholar 

  24. [http://www.windenergy.com] (2012)

Download references

Acknowledgement

This material is based upon work supported by the National Science Foundation under Grant Number 1230884 (Achieving a Sustainable Energy Pathway for Wind Turbine Blade Manufacturing). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Javad Baqersad .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 The Society for Experimental Mechanics, Inc.

About this paper

Cite this paper

Baqersad, J., Niezrecki, C., Avitabile, P. (2014). Effects of Boundary Conditions on the Structural Dynamics of Wind Turbine Blades. Part 2: Edgewise Modes. In: Allen, M., Mayes, R., Rixen, D. (eds) Dynamics of Coupled Structures, Volume 1. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-04501-6_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-04501-6_35

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04500-9

  • Online ISBN: 978-3-319-04501-6

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics