{"title":"Influence of asymmetric behavior on the frequency response and stability of rate-independent hysteretic mechanical systems","authors":"Raffaele Capuano, Nicolò Vaiana, Luciano Rosati","doi":"10.1016/j.ijnonlinmec.2025.105038","DOIUrl":null,"url":null,"abstract":"<div><div>We analyze the nonlinear response of mechanical systems that exhibit complex asymmetric rate-independent hysteretic behavior by adopting the recently formulated differential Vaiana–Rosati enhanced model of hysteresis in conjunction with a continuation method based on Poincaré maps. The proposed procedure allows for the evaluation of periodic solutions and the study of stability of a wide range of mechanical systems. In particular, the presented numerical results reveal the significant impact of asymmetric hysteresis loops on the frequency responses and demonstrate the usefulness of the proposed framework to investigate the nonlinear dynamic behavior of complex hysteretic systems subjected to harmonic excitations.</div></div>","PeriodicalId":50303,"journal":{"name":"International Journal of Non-Linear Mechanics","volume":"173 ","pages":"Article 105038"},"PeriodicalIF":2.8000,"publicationDate":"2025-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Non-Linear Mechanics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0020746225000265","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
We analyze the nonlinear response of mechanical systems that exhibit complex asymmetric rate-independent hysteretic behavior by adopting the recently formulated differential Vaiana–Rosati enhanced model of hysteresis in conjunction with a continuation method based on Poincaré maps. The proposed procedure allows for the evaluation of periodic solutions and the study of stability of a wide range of mechanical systems. In particular, the presented numerical results reveal the significant impact of asymmetric hysteresis loops on the frequency responses and demonstrate the usefulness of the proposed framework to investigate the nonlinear dynamic behavior of complex hysteretic systems subjected to harmonic excitations.
期刊介绍：
The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.
The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas.
Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.
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