{"title":"Performance evaluation of a lever-assisted optimized tuned mass damper inerter in mitigating edgewise vibration of wind turbine blade","authors":"Vishal D. Sonkusare, Kamal Krishna Bera","doi":"10.1016/j.engstruct.2025.119954","DOIUrl":null,"url":null,"abstract":"<div><div>A Lever-assisted Tuned Mass Damper Inerter (LTMDI), comprising a lever mechanism with a fulcrum and a spanning inerter, coupled with a Tuned Mass Damper (TMD), is introduced to mitigate the edgewise vibration of wind turbine blades. The equations of motion for the coupled blade-LTMDI-tower system are derived using the Euler–Lagrangian approach. The turbulent aerodynamic loads on the blade are calculated using the modified Blade Element Momentum theory. Closed-form expressions for optimal tuning frequency and damping ratio of LTMDI are derived from a simplified 2-DOF blade-LTMDI model using the classical fixed-point theory. These expressions also verify the corresponding formulas for blade with TMDI and TMD reported in the existing literature. Numerical studies are conducted using the National Renewable Energy Laboratory (NREL) 5-MW horizontal axis wind turbine. A comprehensive analysis in both time and frequency domains is performed to evaluate the control effectiveness of LTMDI for both the 2-DOF and full wind turbine models, with results compared to those obtained using TMDI and TMD. Results reveal that TMD is the most effective at reducing blade response, while TMDI excels in minimizing the stroke length of the mass block, and LTMDI performs between these two extremes. To systematically compare the overall performance of these devices, a normalized performance index is proposed, which incorporates peak, RMS, and peak-to-peak displacements of both blade tip and mass block. It is observed that LTMDI effectively serves as a trade-off between TMD and TMDI, providing a consistent and uniform performance regardless of whether the focus is on reducing blade response or minimizing the stroke length of the mass block. Therefore, LTMDI emerges as the optimal choice, offering a comprehensive solution that effectively addresses both blade and mass block responses, and demonstrating significant potential for application in wind turbine blades.</div></div>","PeriodicalId":11763,"journal":{"name":"Engineering Structures","volume":"331 ","pages":"Article 119954"},"PeriodicalIF":5.6000,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0141029625003451","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
A Lever-assisted Tuned Mass Damper Inerter (LTMDI), comprising a lever mechanism with a fulcrum and a spanning inerter, coupled with a Tuned Mass Damper (TMD), is introduced to mitigate the edgewise vibration of wind turbine blades. The equations of motion for the coupled blade-LTMDI-tower system are derived using the Euler–Lagrangian approach. The turbulent aerodynamic loads on the blade are calculated using the modified Blade Element Momentum theory. Closed-form expressions for optimal tuning frequency and damping ratio of LTMDI are derived from a simplified 2-DOF blade-LTMDI model using the classical fixed-point theory. These expressions also verify the corresponding formulas for blade with TMDI and TMD reported in the existing literature. Numerical studies are conducted using the National Renewable Energy Laboratory (NREL) 5-MW horizontal axis wind turbine. A comprehensive analysis in both time and frequency domains is performed to evaluate the control effectiveness of LTMDI for both the 2-DOF and full wind turbine models, with results compared to those obtained using TMDI and TMD. Results reveal that TMD is the most effective at reducing blade response, while TMDI excels in minimizing the stroke length of the mass block, and LTMDI performs between these two extremes. To systematically compare the overall performance of these devices, a normalized performance index is proposed, which incorporates peak, RMS, and peak-to-peak displacements of both blade tip and mass block. It is observed that LTMDI effectively serves as a trade-off between TMD and TMDI, providing a consistent and uniform performance regardless of whether the focus is on reducing blade response or minimizing the stroke length of the mass block. Therefore, LTMDI emerges as the optimal choice, offering a comprehensive solution that effectively addresses both blade and mass block responses, and demonstrating significant potential for application in wind turbine blades.
期刊介绍:
Engineering Structures provides a forum for a broad blend of scientific and technical papers to reflect the evolving needs of the structural engineering and structural mechanics communities. Particularly welcome are contributions dealing with applications of structural engineering and mechanics principles in all areas of technology. The journal aspires to a broad and integrated coverage of the effects of dynamic loadings and of the modelling techniques whereby the structural response to these loadings may be computed.
The scope of Engineering Structures encompasses, but is not restricted to, the following areas: infrastructure engineering; earthquake engineering; structure-fluid-soil interaction; wind engineering; fire engineering; blast engineering; structural reliability/stability; life assessment/integrity; structural health monitoring; multi-hazard engineering; structural dynamics; optimization; expert systems; experimental modelling; performance-based design; multiscale analysis; value engineering.
Topics of interest include: tall buildings; innovative structures; environmentally responsive structures; bridges; stadiums; commercial and public buildings; transmission towers; television and telecommunication masts; foldable structures; cooling towers; plates and shells; suspension structures; protective structures; smart structures; nuclear reactors; dams; pressure vessels; pipelines; tunnels.
Engineering Structures also publishes review articles, short communications and discussions, book reviews, and a diary on international events related to any aspect of structural engineering.