Approximate Mode-based Simulation of Composite Wind Turbine Blade Vibrations using a Simplified Beam Model

Authors

  • N. Navadeh 1City and Guilds Building, Department of Aeronautics, South Kensington Campus, Imperial College London, London SW7 2AZ, UK
  • I. O. Goroshko Department of Theoretical and Applied Mechanics, Taras Shevchenko National University of Kyiv, Kiev 01601, Ukraine
  • Y. A. Zhuk Department of Theoretical and Applied Mechanics, Taras Shevchenko National University of Kyiv, Kiev 01601, Ukraine
  • A. S. Fallah City and Guilds Building, Department of Aeronautics, South Kensington Campus, Imperial College London, London SW7 2AZ, UK, Howell Building, Department of Mechanical and Aerospace Engineering, Brunel University London, Uxbridge UB8 3PH, UK and Institute of Computational Physics, Z¨urich University of Applied Sciences (ZHAW), 21 Wildbachstrasse, Winterthur 8401, Switzerland

Keywords:

Low-dimensional beam model, transient response, vibration coupling, flapwise vibration, lead–lag vibration

Abstract

It is well-known that lower modes of vibration are responsible for a high percentage of the dynamic response. In this paper, the task of simulation of the dynamic response of the composite wind turbine blade on the basis numerical realisation of a developed low dimensional beam type model is considered. From the governing system of differential-algebraic equations of the simplified beam type model of the blade, and using the mode superposition approximation, the system of linear ordinary differential equations with respect to the coefficient functions of the modal representation was obtained. The developed program codes allow to simulate low frequency bending vibrations of wind turbine blades under different steady-state and transient loadings. The comparison of the simulation results obtained by the proposed simplified blade model with the results of the direct Finite Element Method (FEM) simulation shows their close agreement, which confirms the adequacy of the developed model and its mode-based approximation to the level of the requirements necessary in engineering practice. The presented approach to the creating low-dimensional simplified models of slender structures can therefore be useful in different fields of aerospace, civil, mechanical, and transport engineering.

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Author Biographies

N. Navadeh, 1City and Guilds Building, Department of Aeronautics, South Kensington Campus, Imperial College London, London SW7 2AZ, UK

N. Navadeh is a final year Ph.D. researcher in Aeronautics Department of Imperial College London conducting research and specializing on mechanics of composite wind turbines blades. He completed his B.Sc. in Civil Engineering jointly at Amirkabir University (Tehran Polytechnic) and University of Birmingham in 2008. He then joined City University to study towards his M.Sc. degree in Structural engineering where he completed his M.Sc. in 2010. He is a member of the Royal Aeronautical Society (RAeS) and of American Institute of Aeronautics and Astronautics (AIAA).

I. O. Goroshko, Department of Theoretical and Applied Mechanics, Taras Shevchenko National University of Kyiv, Kiev 01601, Ukraine

I. O. Goroshko received his B.Sc. and M.Sc. Degrees in Mechanics from Taras Shevchenko National University of Kyiv, Ukraine; and Ph.D. in Mechanics and Mathematics from Timoshenko Institute of Mechanics, NationalAcademy of Sciences of Ukraine. Since 2013, he has been working as a Senior Researcher at the Department of Theoretical and Applied Mechanics in his alma mater. His fields of interests are continuum mechanics, dynamics of solids, and finite element analysis with his special focus being the investigation of interactive modal vibration in solids and structures.

Y. A. Zhuk, Department of Theoretical and Applied Mechanics, Taras Shevchenko National University of Kyiv, Kiev 01601, Ukraine

Y. A. Zhuk received his B.Sc. and M.Sc. degrees in Continuum Mechanics from Taras Shevchenko National University of Kyiv, Ukraine; and Ph.D. as well as D.Sc. in Mechanics and Mathematics from Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine. He received his Professorship in Mechanics and Mathematics in 2012 from Mykolaiv State University, Ukraine, and joined the Taras Shevchenko National University of Kyiv the same year. Since 2013 he has been the Head of Department of Theoretical and Applied Mechanics in his alma mater. Prof. Y. A. Zhuk is the recipient of the numerous Fellowships (Fellowship of the President of Ukraine, Fellowship of Ukrainian National Academy of Sciences) and international awards (such as Grant of International Association of Academies of Sciences (CIS), Royal Society/NATO Fellowship, and EPSRC grants). As for his international collaborative work, he worked at Hong Kong University of Science and Technology, Imperial College London, and University ofAberdeen. Prof. Zhuk is a member of the National Committee on Theoretical andApplied Mechanics of Ukraine and a recipient of theAward for Excellence in Teaching from the National Academy of Sciences of Ukraine (2017). Prof. Zhuk has authored numerous scientific papers in Ukrainian and international journals and has co-authored the textbook in experimental mechanics awarded with the Prize of the National Academy of Sciences of Ukraine for the Best Textbook (2016). His fields of interests are the coupled thermos-electromechanics, nonlinear dynamics, and composite materials.

A. S. Fallah, City and Guilds Building, Department of Aeronautics, South Kensington Campus, Imperial College London, London SW7 2AZ, UK, Howell Building, Department of Mechanical and Aerospace Engineering, Brunel University London, Uxbridge UB8 3PH, UK and Institute of Computational Physics, Z¨urich University of Applied Sciences (ZHAW), 21 Wildbachstrasse, Winterthur 8401, Switzerland

A. S. Fallah received his BSc in Civil Engineering from Iran University of Science and Technology in 1998 and his MSc degree in Structural Engineering from University of Tehran in 2002. In 2006, he was awarded a PhD in Structures by Imperial College London. He then worked as a Post-doctoral Research Fellow at Imperial College and King’s College London from 2007 until 2015. In 2015 he was appointed a Lecturer (Assistant Professor) in Aerostructures at Imperial College’s Aeronautics Department, a post he held until 2017. He is currently a Senior Lecturer (Associate Professor) in Dynamics and Vibration in Mechanical Engineering Department of Brunel University London. He is a professional member of the Royal Aeronautical Society and a member of the Institute for Materials and Manufacturing. He holds visiting positions at Imperial College London, Kiev Polytechnic Institute, and Zurich University of Applied Sciences.

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Published

2019-09-01

How to Cite

Navadeh, N., Goroshko, I. O., Zhuk, Y. A., & Fallah, A. S. . (2019). Approximate Mode-based Simulation of Composite Wind Turbine Blade Vibrations using a Simplified Beam Model. European Journal of Computational Mechanics, 28(4), 307–324. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/1032

Issue

2019: Vol28 Iss 4

Section

Original Article