{"title":"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","authors":"Y.C. Chen , W. Zhang , A. Rong","doi":"10.1016/j.apm.2025.116442","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"151 ","pages":"Article 116442"},"PeriodicalIF":4.4000,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Theoretical and experimental researches on nonlinear snap-through mechanism of bistable asymmetric composite laminated cantilever plate under foundation excitation in wind turbine blade skin\",\"authors\":\"Y.C. Chen , W. Zhang , A. Rong\",\"doi\":\"10.1016/j.apm.2025.116442\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>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.</div></div>\",\"PeriodicalId\":50980,\"journal\":{\"name\":\"Applied Mathematical Modelling\",\"volume\":\"151 \",\"pages\":\"Article 116442\"},\"PeriodicalIF\":4.4000,\"publicationDate\":\"2025-09-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematical Modelling\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0307904X25005165\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematical Modelling","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0307904X25005165","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, MULTIDISCIPLINARY","Score":null,"Total":0}
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.
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.