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<p>This paper examines the impact of inertial motion within an elastic foundation on the dynamic behavior of a finite-length beam on a modified Winkler foundation subjected to moving force groups. The conventional linear dynamic model is modified by incorporating a vertical displacement attenuation function. Through theoretical derivation and numerical calculations, the study elucidates the fundamental mechanisms by which the inertial motion within the elastic foundation influences the critical speed, and explores how factors like foundation soil mass, foundation viscous damping coefficient, and the velocity of the moving force groups impact the beam’s vibrational response. The results indicate that the foundation soil mass can suppress the system damping of the beam, significantly lower the critical speed, and amplify the beam’s vibrational response. The foundation soil viscous damping coefficient weakens the resonant response of the beam, and effectively mitigates the high-frequency vibrations induced by the superposition effect of the moving force groups.</p>

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Vibration response of a finite-length beam on a modified Winkler foundation subjected to moving force groups

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Jianjun Ma,
  • Hang Yang,
  • Da Li,
  • Fengjun Liu,
  • Chaosheng Wang

摘要

This paper examines the impact of inertial motion within an elastic foundation on the dynamic behavior of a finite-length beam on a modified Winkler foundation subjected to moving force groups. The conventional linear dynamic model is modified by incorporating a vertical displacement attenuation function. Through theoretical derivation and numerical calculations, the study elucidates the fundamental mechanisms by which the inertial motion within the elastic foundation influences the critical speed, and explores how factors like foundation soil mass, foundation viscous damping coefficient, and the velocity of the moving force groups impact the beam’s vibrational response. The results indicate that the foundation soil mass can suppress the system damping of the beam, significantly lower the critical speed, and amplify the beam’s vibrational response. The foundation soil viscous damping coefficient weakens the resonant response of the beam, and effectively mitigates the high-frequency vibrations induced by the superposition effect of the moving force groups.