Analytical calculation method for the pre-stress basic frequency of wind turbine towers based on Rayleigh method

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Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (10) : 23-29.

LEI Zhenbo1，LIU Gang1,2，YANG Wei3,4，LI Yang3,4

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Abstract

The large-scale development trend of wind turbines makes the tower taller and more flexible, and the diameter and wall thickness of the tower become more and more various with height. Therefore, the calculation accuracy of the traditional simplified fundamental frequency analytical calculation method is greatly reduced, and it is difficult to meet the requirements of the fundamental frequency estimation in the early stage of tower design. In this paper, the equivalent wall thickness and average equivalent moment of inertia are proposed to consider the various changes in tower diameter and wall thickness along the height, so as to simplify the calculation of tower stiffness. Based on the basic principle of Rayleigh energy method, considering the influence of wind turbine and nacelle mass on tower pre-compression stress, mass eccentricity and different deformation forms of tower on fundamental frequency calculation, this paper proposes a corresponding analytical calculation method for fundamental frequency of tower. The numerical example of the tower and the scale test show that the eccentricity of the top nacelle and impeller mass has a great influence on the fundamental frequency of the tower, and its influence should be considered in the analytical calculation. The analytical value of the tower fundamental frequency under uniform load deformation is closer to the true value. The deviation between the proposed analytical method and the calculated value of the refined finite element model is less than 4%, and the deviation from the measured value of the scale model is less than 5%.

Key words

Wind turbine tower / Fundamental frequency / Rayleigh method / Deformed shape / Quality eccentricity

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LEI Zhenbo1，LIU Gang1,2，YANG Wei3,4，LI Yang3,4. Analytical calculation method for the pre-stress basic frequency of wind turbine towers based on Rayleigh method[J]. Journal of Vibration and Shock, 2022, 41(10): 23-29

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