Influence of asymmetric behavior on the frequency response and stability of rate-independent hysteretic mechanical systems

IF 2.8 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-02-13 DOI:10.1016/j.ijnonlinmec.2025.105038

Raffaele Capuano, Nicolò Vaiana, Luciano Rosati

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.

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非对称行为对速率无关迟滞机械系统频率响应和稳定性的影响

本文采用最近提出的微分Vaiana-Rosati增强滞回模型，结合基于poincar映射的延拓方法，分析了具有复杂非对称速率无关滞回行为的机械系统的非线性响应。建议的程序允许周期解的评估和广泛的机械系统的稳定性研究。特别地，数值结果揭示了不对称迟滞环对频率响应的重要影响，并证明了所提出的框架对于研究受谐波激励的复杂迟滞系统的非线性动力学行为的有效性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Non-Linear Mechanics 物理-力学

CiteScore

5.50

自引率

9.40%

发文量

192

审稿时长

67 days

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.