中国物理B ›› 2026, Vol. 35 ›› Issue (1): 14601-014601.doi: 10.1088/1674-1056/ae181b

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Steady-state fretting response governed by periodic stress variations induced by oblique excitation

Shenghao Lu(卢晟昊)1, Huan Wang(王欢)2, and Shaoze Yan(阎绍泽)1,†   

  1. 1 State Key Laboratory of Tribology, Department of Mechanical Engineering, Tinghua University, Beijing 100084, China;
    2 School of Engineering and Technology, China University of Geosciences (Beijing), Beijing 100083, China
  • 收稿日期:2025-08-20 修回日期:2025-09-30 接受日期:2025-10-28 发布日期:2025-12-22
  • 通讯作者: Shaoze Yan E-mail:yansz@mail.tsinghua.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11872033) and the Beijing Natural Science Foundation, China (Grant No. 3172017).

Steady-state fretting response governed by periodic stress variations induced by oblique excitation

Shenghao Lu(卢晟昊)1, Huan Wang(王欢)2, and Shaoze Yan(阎绍泽)1,†   

  1. 1 State Key Laboratory of Tribology, Department of Mechanical Engineering, Tinghua University, Beijing 100084, China;
    2 School of Engineering and Technology, China University of Geosciences (Beijing), Beijing 100083, China
  • Received:2025-08-20 Revised:2025-09-30 Accepted:2025-10-28 Published:2025-12-22
  • Contact: Shaoze Yan E-mail:yansz@mail.tsinghua.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11872033) and the Beijing Natural Science Foundation, China (Grant No. 3172017).

摘要: This study investigates the mechanisms of friction-induced vibration under periodic variations in stress distribution using an improved fretting friction model. A fretting friction test system integrated with a total reflection method was developed to analyze interfacial contact behavior under dynamic loading conditions. An improved fretting friction model was established, incorporating three critical nonlinear parameters: the hysteretic friction coefficient, tangential stiffness fluctuations, and stress distribution. Through systematic validation, the model demonstrates high-fidelity replication of experimental steady-state amplitude—frequency responses. Key findings reveal that non-uniform stress distribution governs irregularities in the vibration response, and increased uniformity intensifies stick—slip instabilities. Near the stick—slip transition threshold, distinct vibration anomalies emerge due to the coupled effects of stress heterogeneity, friction hysteresis, and stiffness variations during state transitions. Furthermore, the magnitude of the normal contact force systematically alters the dominant interfacial contact mechanism. The different interfacial contact states at various frequencies lead to distinct steady-state responses. This shift elevates resonance frequencies and amplifies higher-order resonant peaks. The fretting friction model provides a predictive framework for vibration control under dynamic interfacial loading.

关键词: total reflection method, stress distribution, the fretting friction model, normal force, stick-slip

Abstract: This study investigates the mechanisms of friction-induced vibration under periodic variations in stress distribution using an improved fretting friction model. A fretting friction test system integrated with a total reflection method was developed to analyze interfacial contact behavior under dynamic loading conditions. An improved fretting friction model was established, incorporating three critical nonlinear parameters: the hysteretic friction coefficient, tangential stiffness fluctuations, and stress distribution. Through systematic validation, the model demonstrates high-fidelity replication of experimental steady-state amplitude—frequency responses. Key findings reveal that non-uniform stress distribution governs irregularities in the vibration response, and increased uniformity intensifies stick—slip instabilities. Near the stick—slip transition threshold, distinct vibration anomalies emerge due to the coupled effects of stress heterogeneity, friction hysteresis, and stiffness variations during state transitions. Furthermore, the magnitude of the normal contact force systematically alters the dominant interfacial contact mechanism. The different interfacial contact states at various frequencies lead to distinct steady-state responses. This shift elevates resonance frequencies and amplifies higher-order resonant peaks. The fretting friction model provides a predictive framework for vibration control under dynamic interfacial loading.

Key words: total reflection method, stress distribution, the fretting friction model, normal force, stick-slip

中图分类号:  (Tribology and mechanical contacts)

  • 46.55.+d
42.30.Va (Image forming and processing) 43.40.Ga (Nonlinear vibration)