Analytical solution for nonlinear dynamics of a rotating wind turbine blade under aerodynamic loading and yawed inflow effects

IF 5.7 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-03-05 DOI:10.1016/j.tws.2025.113164

M.M. Rezaei , H. Zohoor , H. Haddadpour

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引用次数: 0

Abstract

This paper investigates the nonlinear dynamics of a wind turbine blade using an analytically based perturbation approach. The rotating blade, which experiences significant deflection under operational loading, is subjected to harmonic excitation effects caused by yawed inflow conditions. The geometrically exact formulation of the rotating beam is employed for the structural modeling of the blade. The structural nonlinearities up to the cubic order, including coupled flapwise, edgewise, and torsional terms, are considered. The obtained governing equation, re-expanded around the steady state deformed configuration, is converted into a set of ordinary differential equations (ODEs) using the Galerkin approach. In this method, the mode shapes of the cantilevered blade are employed as trial functions. The analytical perturbation approach, based on the multiple scales method, is then applied to derive the modulation amplitude equation for the blade's steady-state response. The problem is solved under the super-harmonic resonance condition. Simulation results are obtained using the specification of the state-of-the-art 5MW-NREL wind turbine blade. After verifying the analytical method through comparison with the numerical approach, the blade response is investigated for various parameters, including structural damping, the yawed inflow angle, excitation frequency deviation, and the blade pre-cone angle. The results demonstrate the high accuracy of the analytical approach and the significant influence of geometric nonlinearities. Additionally, variations in these parameters lead to changes in the dynamic stability status, including instability occurrence, which results in specific bifurcation points in the blade's steady-state response.

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来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.