{"title":"Transverse vibration suppression of an inclined beam with a nonlinear energy sink","authors":"Jun Wang , Shaodong Feng , Kai Zhang , Hu Ding","doi":"10.1016/j.engstruct.2025.119658","DOIUrl":null,"url":null,"abstract":"<div><div>A large number of inclined beam structures suffer from vibration problems. In this paper, the transverse nonlinear vibration model of an inclined beam is established for the first time to study the influence of the inclination angle. Moreover, a nonlinear energy sink (NES) is introduced to control the forced vibration of the inclined beam. The nontrivial static equilibrium configuration caused by weight is solved. Furthermore, the governing equation of the inclined beam-NES system is derived around static configuration. The effects of the inclination angle on the natural frequencies are studied. Meanwhile, the nonlinear dynamic response of the coupled system is analyzed qualitatively and verified numerically. The results show that the decrease in the inclination angle tends to increase the natural frequencies. Moreover, the low-order natural frequency of the system is more sensitive to the influence of the inclination angle and cannot be ignored. In addition, the research shows that the inclination angle affects the parameter design of NES. However, suitable parameters of the NES can achieve superior damping efficiency for vibration control of inclined beams at different angles of inclination. Thus, this research proposes a novel model for inclined engineering structures and provides the necessary theoretical basis for designing NES to reduce vibration.</div></div>","PeriodicalId":11763,"journal":{"name":"Engineering Structures","volume":"327 ","pages":"Article 119658"},"PeriodicalIF":5.6000,"publicationDate":"2025-01-11","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/S0141029625000483","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 large number of inclined beam structures suffer from vibration problems. In this paper, the transverse nonlinear vibration model of an inclined beam is established for the first time to study the influence of the inclination angle. Moreover, a nonlinear energy sink (NES) is introduced to control the forced vibration of the inclined beam. The nontrivial static equilibrium configuration caused by weight is solved. Furthermore, the governing equation of the inclined beam-NES system is derived around static configuration. The effects of the inclination angle on the natural frequencies are studied. Meanwhile, the nonlinear dynamic response of the coupled system is analyzed qualitatively and verified numerically. The results show that the decrease in the inclination angle tends to increase the natural frequencies. Moreover, the low-order natural frequency of the system is more sensitive to the influence of the inclination angle and cannot be ignored. In addition, the research shows that the inclination angle affects the parameter design of NES. However, suitable parameters of the NES can achieve superior damping efficiency for vibration control of inclined beams at different angles of inclination. Thus, this research proposes a novel model for inclined engineering structures and provides the necessary theoretical basis for designing NES to reduce vibration.
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.