风力机叶片蒙皮基础激励下双稳态非对称复合层合悬臂板非线性卡断机理的理论与实验研究

IF 4.4 2区 工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY
Y.C. Chen , W. Zhang , A. Rong
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引用次数: 0

摘要

风能基础设施的指数级增长推动了风力涡轮机叶片尺寸的逐步增加,以优化能量收集能力。然而,传统的叶片结构在结构可靠性和气动载荷方面面临着严峻的挑战。这些多方面的挑战促使双稳态复合材料层压板的系统研究成为一个具有战略意义的研究方向,以协调这些相互竞争的工程要求。本文研究了地基激励下双稳态非对称复合材料层压悬臂板的非线性建模和动态卡断机理。基于经典板理论、von Karman几何非线性、Hamilton原理和Rayleigh-Ritz方法,建立了一个四自由度非线性解析模型。导出了每种结构的静态稳定初始值和第一共振频率。以横向基础激励为触发机制,研究了地基在不同频率和幅值下的动力特性。稳定构型对应的两个共振频率附近的显著振动分别表现出近似的线性和明显的非线性软化行为。该研究确定了动态变换和连续通断现象的临界频率和幅度范围。结果表明,包括多重谐波共振和混沌动力学行为在内的通断特性与实验结果非常吻合。通过对叶片变形特性的研究,可以为风电叶片的开发提供支持。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Theoretical and experimental researches on nonlinear snap-through mechanism of bistable asymmetric composite laminated cantilever plate under foundation excitation in wind turbine blade skin
The exponential growth of the wind energy infrastructure has propelled a progressive increase in the wind turbine blade dimensions to optimize the energy harvesting capacity. Nevertheless, the conventional blade structures confront the critical challenge in the structural reliability and aerodynamic load. These multifaceted challenges have driven the need of the systematic investigation for the bistable composite laminates emerging as a strategically significant research direction to reconcile these competing engineering requirements. This paper investigates the nonlinear modeling and dynamic snap-through mechanism of the bistable asymmetric composite laminated (BACL) cantilever plate under the foundation excitation. A 4-degree-of-freedom nonlinear analytical model is introduced based on the classical plate theory, von Karman geometric nonlinearity, Hamilton principle and Rayleigh-Ritz method. The static stable initial values and first resonant frequency are derived for each configuration. Using the transverse foundation excitation as a triggering mechanism, the dynamic behaviors with varying frequencies and amplitudes are explored. The significant vibrations around two resonant frequencies corresponding to the stable configurations exhibit the approximate linear and distinctly nonlinear softening behaviors, respectively. The study identifies the critical frequency and amplitude ranges for the dynamic transformations and continuous snap-through phenomena. It is revealed that the snap-through characteristics, including the multiple harmonic resonances and chaotic dynamic behaviors, align closely with the experimental results. Focusing on the deformation behaviors, this study can support the development of the wind turbine blades.
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来源期刊
Applied Mathematical Modelling
Applied Mathematical Modelling 数学-工程:综合
CiteScore
9.80
自引率
8.00%
发文量
508
审稿时长
43 days
期刊介绍: Applied Mathematical Modelling focuses on research related to the mathematical modelling of engineering and environmental processes, manufacturing, and industrial systems. A significant emerging area of research activity involves multiphysics processes, and contributions in this area are particularly encouraged. This influential publication covers a wide spectrum of subjects including heat transfer, fluid mechanics, CFD, and transport phenomena; solid mechanics and mechanics of metals; electromagnets and MHD; reliability modelling and system optimization; finite volume, finite element, and boundary element procedures; modelling of inventory, industrial, manufacturing and logistics systems for viable decision making; civil engineering systems and structures; mineral and energy resources; relevant software engineering issues associated with CAD and CAE; and materials and metallurgical engineering. Applied Mathematical Modelling is primarily interested in papers developing increased insights into real-world problems through novel mathematical modelling, novel applications or a combination of these. Papers employing existing numerical techniques must demonstrate sufficient novelty in the solution of practical problems. Papers on fuzzy logic in decision-making or purely financial mathematics are normally not considered. Research on fractional differential equations, bifurcation, and numerical methods needs to include practical examples. Population dynamics must solve realistic scenarios. Papers in the area of logistics and business modelling should demonstrate meaningful managerial insight. Submissions with no real-world application will not be considered.
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