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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-7pp.5945-5960

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Tianlun Du, Weiliang Liao, Jianjun Yang, Mingming Zhang, and Youhua Fan, "Dynamic Characteristics of 15 MW Wind Turbine Blades with Geometric Nonlinearity Considerations," Mech. Solids. 60 (7), 5945-5960 (2025)
Year 2025 Volume 60 Number 7 Pages 5945-5960
DOI 10.1134/S0025654425602290
Title Dynamic Characteristics of 15 MW Wind Turbine Blades with Geometric Nonlinearity Considerations
Author(s) Tianlun Du (Harbin Institute of Technology (Shenzhen), Shenzhen, 518000 China, 2297399006@qq.com)
Weiliang Liao (Harbin Institute of Technology (Shenzhen), Shenzhen, 518000 China)
Jianjun Yang (Goldwind Sci and Tech Co., Ltd, Beijing, 100000 China)
Mingming Zhang (Harbin Institute of Technology (Shenzhen), Shenzhen, 518000 China)
Youhua Fan (Harbin Institute of Technology (Shenzhen), Shenzhen, 518000 China, yhfan@hit.edu.cn)
Abstract In recent years, wind turbine blades have been progressively designed toward larger size and higher flexibility to improve wind energy utilization efficiency. The slender, flexible blades exhibit significantly enhanced geometric nonlinearity, thereby inducing complex dynamic phenomena. Based on Hamilton’s principle, this paper derives the nonlinear dynamic governing equations of wind turbine blades under the parked condition by considering third-order nonlinear truncation. The equations are discretized via the Galerkin method with retention of the first four modal orders. Furthermore, the nonlinear dynamic characteristics of a 15 MW wind turbine blade under this parked condition are investigated by varying wind speeds and excitation frequencies. The results demonstrate that near the system’s natural frequency, unstable amplitude responses emerge, and the specific dynamic behavior depends on initial conditions. Variations in initial conditions may drive the system to transition from low-dimensional quasi-periodic motion to high-dimensional quasi-periodic motion. Wind speed influences the unstable solution intervals by modulating geometric nonlinearity effects and alters the structural nonlinear stiffness, which disrupts internal resonance conditions and consequently affects inter-modal energy transfer and energy decay rate.
Keywords large wind turbines, large-scale wind turbine blades, nonlinear vibrations
Received 08 May 2025Revised 23 October 2025Accepted 25 October 2025
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