A multiple scales approach to analyze the nonlinear dynamics of the high-temperature superconducting magnetic levitation train

IF 3.2 3区工程技术 Q2 MECHANICS

International Journal of Non-Linear Mechanics Pub Date : 2025-10-03 DOI:10.1016/j.ijnonlinmec.2025.105268

Giovanni Migliaccio , Francesco D’Annibale , Haitao Li , Zigang Deng , Francesco dell’Isola , Gino D’Ovidio

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Abstract

This paper investigates the nonlinear dynamics of the High-Temperature Superconducting (HTS) pinning magnetic levitation (MAGLEV) transit system under development at the University of L’Aquila. Due to its inherently weak damping characteristics, the MAGLEV system is particularly susceptible to external disturbances, such as mechanical or magnetic irregularities along the guideway. To analytically characterize its complex nonlinear dynamics, a simplified nonlinear single-degree-of-freedom model is developed, and the Multiple Scales Method (MSM) is employed as a solution technique. This approach enables the evaluation of how key design parameters influence the system’s dynamic response. The analysis highlights the emergence of both primary and secondary resonances, which arise depending on system parameters and the nonlinear nature of the levitation force, potentially impacting not only performance but also stability. Finally, the analytical findings are validated against benchmark solutions obtained through direct numerical integration of the system’s nonlinear equation of motion.

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高温超导磁悬浮列车非线性动力学分析的多尺度方法

本文研究了拉奎拉大学正在开发的高温超导（HTS）钉钉式磁悬浮（MAGLEV）运输系统的非线性动力学。由于其固有的弱阻尼特性，磁悬浮系统特别容易受到外部干扰，例如沿导轨的机械或磁性不规则。为了解析其复杂的非线性动力学特性，建立了一个简化的非线性单自由度模型，并采用多尺度法（MSM）作为求解技术。这种方法能够评估关键设计参数如何影响系统的动态响应。分析强调了主共振和次共振的出现，这取决于系统参数和悬浮力的非线性性质，不仅可能影响性能，还可能影响稳定性。最后，将分析结果与系统非线性运动方程直接数值积分得到的基准解进行了验证。

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.