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# Modeling and Bending Vibration of the Blade of a Horizontal-Axis Wind Power Turbine

Shueei-Muh Lin1, Sen-Yung Lee2, Yu-Sheng Lin3

Professor, Department of Mechanical Engineering, Kun Shan University, Tainan, Taiwan, Republic of China
Corresponding author. Tel: +886-6-2757575 ext. 62150; E-mail: sylee@mail.ncku.edu.tw. Distinguished Professor, Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China.
Graduate student, Department of Mechanical Engineering, National Cheng Kung University, Tainan, Taiwan, Republic of China

Computer Modeling in Engineering & Sciences 2008, 23(3), 175-186. https://doi.org/10.3970/cmes.2008.023.175

## Abstract

The blade of a horizontal-axis wind power turbine is modeled as a rotating beam with pre-cone angles and setting angles. Based on the Bernoulli-Euler beam theory, without considering the axial extension deformation and the Coriolis forces effect, the governing differential equations for the bending vibration of the beam are derived. It is pointed out that if the geometric and the material properties of the beam are in polynomial forms, then the exact solution for the system can be obtained. Based on the frequency relations as revealed, without tedious numerical analysis, one can reach many general qualitative conclusions between the natural frequencies and the physical parameters of the beams. The validity of the conclusions is not limited in specialized domains. Finally, the influences of the pre-cone angle, the angular speed and the setting angle on the natural frequencies of the beam are studied by the proposed numerical method. The phenomenon of divergence instability is also discussed.

## Keywords

APA Style
Lin, S., Lee, S., Lin, Y. (2008). Modeling and bending vibration of the blade of a horizontal-axis wind power turbine. Computer Modeling in Engineering & Sciences, 23(3), 175-186. https://doi.org/10.3970/cmes.2008.023.175
Vancouver Style
Lin S, Lee S, Lin Y. Modeling and bending vibration of the blade of a horizontal-axis wind power turbine. Comput Model Eng Sci. 2008;23(3):175-186 https://doi.org/10.3970/cmes.2008.023.175
IEEE Style
S. Lin, S. Lee, and Y. Lin "Modeling and Bending Vibration of the Blade of a Horizontal-Axis Wind Power Turbine," Comput. Model. Eng. Sci., vol. 23, no. 3, pp. 175-186. 2008. https://doi.org/10.3970/cmes.2008.023.175

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