@Article{icces.2023.09685,
AUTHOR = {Hang Meng, Jiaxing Wu, Guangxing Wu, Kai Long},
TITLE = {A Novel Finite Difference Method for Solving Nonlinear Static Beam  Equations of Wind Turbine Blade Under Large Deflections},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {27},
YEAR = {2023},
NUMBER = {2},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v27n2/54166},
ISSN = {1933-2815},
ABSTRACT = {Wind energy is one of the most promising renewable energies in the world. To generate more electricity, 
the wind turbines are getting larger and larger in recent decades [1]. With the wind turbine size growing, 
the length of the blade is getting slender. The large deflections of slender wind turbine blade will inevitably 
lead to geometric nonlinearities [2], e.g. nonlinear coupling between torsion and deflection, which 
complicates the governing equations of motion. To simplify the solution of the nonlinear equations, in the 
current research, a novel finite-difference method was proposed to solve the nonlinear equations of static 
beam model for wind turbine blade under large deflections. Firstly, the governing equations of large wind 
turbine blade have been derived by Newtonian method, which provide more insight into the mechanism of 
the structure motion. Secondly, owing to its simplicity, finite-difference and Newton-Raphson method was 
employed to discretize and solve the proposed equations respectively. Finally, the proposed finite-difference 
method was successfully validated by the popular FEM-based geometric exact beam theory (GEBT) method, 
which has more complicated formulation. The results also illustrate that the nonlinear couplings between 
deflections, extension, and torsion play more important role in the wind turbine blade under large 
deflections. The current research will provide guidance for the design of next-generation wind turbine blade.},
DOI = {10.32604/icces.2023.09685}
}