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<p>This paper presents a modal analysis of an inflated rotating tire observed from the fixed frame of reference. The discrete in-plane rigid–elastic coupled tire modal model is improved to investigate the complex vibration behavior of the tread band, with particular attention to wave propagation phase speed. By integrating a material derivative with rotation matrices, the study introduces a consistent framework for analyzing the influence of rotation from the fixed frame of reference perspective. The model distinguishes between the contributions of the Doppler effect and Coriolis acceleration on the natural frequency shifts. The novelty of this work lies in capturing these advanced rotational effects within a simplified model and computationally efficient finite difference formulation, bridging the gap between conventional analytical approaches and computationally demanding finite element methods. Furthermore, the proposed model provides a practical tool that can be directly integrated into vehicle-level simulations, offering valuable insights into the interaction between tire rotation and vehicle vibration characteristics under varying operating conditions.</p>

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Vibration characteristics of rotating tire: analysis of fictitious forces and Doppler effect through modal model approach

  • 期刊论文

  • 发表日期：

    2025年12月8日

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  • Faisal Alobaid,
  • Saied Taheri

摘要

This paper presents a modal analysis of an inflated rotating tire observed from the fixed frame of reference. The discrete in-plane rigid–elastic coupled tire modal model is improved to investigate the complex vibration behavior of the tread band, with particular attention to wave propagation phase speed. By integrating a material derivative with rotation matrices, the study introduces a consistent framework for analyzing the influence of rotation from the fixed frame of reference perspective. The model distinguishes between the contributions of the Doppler effect and Coriolis acceleration on the natural frequency shifts. The novelty of this work lies in capturing these advanced rotational effects within a simplified model and computationally efficient finite difference formulation, bridging the gap between conventional analytical approaches and computationally demanding finite element methods. Furthermore, the proposed model provides a practical tool that can be directly integrated into vehicle-level simulations, offering valuable insights into the interaction between tire rotation and vehicle vibration characteristics under varying operating conditions.