Bifurcation analysis of a railway wheelset system with random excitation and displacement delay feedback

IF 4.6 2区工程技术 Q1 ENGINEERING, MECHANICAL

Acta Mechanica Sinica Pub Date : 2025-05-29 DOI:10.1007/s10409-025-24778-x

Pan Lan (, ), Zhouchao Wei (, ), Tomasz Kapitaniak, Wei Zhang (, )

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Abstract

This paper investigates the dynamics of a railway wheelset system subjected to random excitation and governed by a displacement delay feedback controller. Initially, the delay component of the wheelset system was estimated utilizing standard form theory and center manifold theory. Subsequently, the differential equation characterizing the stochastic wheelset system was reformulated into a form that incorporates both amplitude and phase, employing the random averaging technique. The local stability of the wheelset system was subsequently assessed using the Lyapunov exponent method, while global stability was evaluated through singular boundary theory. Additionally, the random bifurcation characteristics of the wheelset system were examined using probability density function diagrams. Ultimately, numerical simulations were performed to analyze the influence of velocity and delay on the stochastic dynamics of the wheelset system, and the theoretical results were validated.

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具有随机激励和位移延迟反馈的铁路轮对系统分岔分析

研究了受随机激励和位移时滞反馈控制器控制的铁路轮对系统的动力学问题。首先利用标准形式理论和中心流形理论对轮对系统的延迟分量进行了估计。随后，采用随机平均技术，将随机轮对系统的微分方程重新表述为包含振幅和相位的形式。采用李雅普诺夫指数法评估轮对系统的局部稳定性，采用奇异边界理论评估轮对系统的全局稳定性。此外，利用概率密度函数图分析了轮对系统的随机分岔特性。最后，通过数值仿真分析了速度和延迟对轮对系统随机动力学的影响，并对理论结果进行了验证。

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来源期刊

Acta Mechanica Sinica 物理-工程：机械

CiteScore

5.60

自引率

20.00%

发文量

1807

审稿时长

4 months

期刊介绍： Acta Mechanica Sinica, sponsored by the Chinese Society of Theoretical and Applied Mechanics, promotes scientific exchanges and collaboration among Chinese scientists in China and abroad. It features high quality, original papers in all aspects of mechanics and mechanical sciences. Not only does the journal explore the classical subdivisions of theoretical and applied mechanics such as solid and fluid mechanics, it also explores recently emerging areas such as biomechanics and nanomechanics. In addition, the journal investigates analytical, computational, and experimental progresses in all areas of mechanics. Lastly, it encourages research in interdisciplinary subjects, serving as a bridge between mechanics and other branches of engineering and the sciences. In addition to research papers, Acta Mechanica Sinica publishes reviews, notes, experimental techniques, scientific events, and other special topics of interest. Related subjects » Classical Continuum Physics - Computational Intelligence and Complexity - Mechanics