IMPROVED BEAM ELEMENT FOR WIND TURBINE BLADES BASED ON ANALYTICAL DISPLACEMENT SHAPE FUNCTIONS

Guo Xin; Li Dongsheng; Wei Da; Zhang Yu

doi:10.19912/j.0254-0096.tynxb.2020-0805

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Acta Energiae Solaris Sinica ›› 2022, Vol. 43 ›› Issue (4) : 387-392. DOI: 10.19912/j.0254-0096.tynxb.2020-0805

Topics on Key Technologies for Safety of Electrochemical Energy Storage Systems and Echelon Utilization of Decommissioned Power Batteries

IMPROVED BEAM ELEMENT FOR WIND TURBINE BLADES BASED ON ANALYTICAL DISPLACEMENT SHAPE FUNCTIONS

Guo Xin¹, Li Dongsheng², Wei Da¹, Zhang Yu¹

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Abstract

An improved spatial Timoshenko beam element is presented to improve the calculation accuracy of wind turbine blades based on analytical displacement shape functions for bending deformation, Firstly, the eccentric effect of blade cross-section is considered, and analytical interpolation functions for bending deformation are constructed according to Timoshenko beam equilibrium equations. Shape functions for the translational deformation and transverse shear deformation are established on the basis of the relationships between total deflection, bending slope and transverse shear. Then the stiffness matrix and mass matrix of the improved blade beam element are derived by the finite element theory. Relevant finite element computation programs are compiled with the correctness and accuracy verified by three typical examples. Finally, modal analysis is conducted for the blades of a 5 MW wind turbine. Consequently, the natural frequencies and corresponding mode shapes of the blades are obtained accurately.

Key words

wind turbines / blades / Timoshenko beam / spatial beam element / finite element method / stiffness matrix / modal analysis

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Guo Xin, Li Dongsheng, Wei Da, Zhang Yu. IMPROVED BEAM ELEMENT FOR WIND TURBINE BLADES BASED ON ANALYTICAL DISPLACEMENT SHAPE FUNCTIONS[J]. Acta Energiae Solaris Sinica. 2022, 43(4): 387-392 https://doi.org/10.19912/j.0254-0096.tynxb.2020-0805

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