Articles | Volume 4, issue 1
Wind Energ. Sci., 4, 57–69, 2019
https://doi.org/10.5194/wes-4-57-2019
Wind Energ. Sci., 4, 57–69, 2019
https://doi.org/10.5194/wes-4-57-2019

Research article 28 Jan 2019

Research article | 28 Jan 2019

Determination of natural frequencies and mode shapes of a wind turbine rotor blade using Timoshenko beam elements

Evgueni Stanoev and Sudhanva Kusuma Chandrashekhara

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Cited articles

Andersen, L. and Nielsen, S. R.: Elastic Beams in Three Dimensions, Department of Civil Engineering, Aalborg University, Aalborg, 2008. 
Bazoune, A. and Khulief, Y.: Shape Functions of Three-Dimensional Timoshenko Beam Element, J. Sound Vib., 12, 473–480, 2003. 
Graf, W. and Vassilev, T.: Einführung in computerorientierte Methoden der Baustatik, Verlag Ernst&Sohn, Berlin, 2006. 
Jonkman, J., Butterfield, S., Musial, W., and Scott, G.: Definition of a 5-MW Reference Wind Turbine for Offshore System Development, Technical Report NREL/TP-500-38060, National Renewable Energy Laboratory, Colorado, 2009. 
Jureczko, M., Pawlak, M., and Mezyk, A.: Optimisation of wind turbine blades, J. Mater. Process. Tech., 463–471, 2005. 
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Short summary
In the frame of a multi-body simulation of a wind turbine, the lowest rotor blade eigenmodes are used to describe their elastic deformations. In this paper, a finite Timoshenko beam element is proposed based on the transfer matrix method. The element stiffness and mass matrices are derived by numerical integration of the differential equations of motion. A numerical example with generic rotor blade data demonstrates the performance of the method in comparison with FAST/ADAMS software results.