中国物理B ›› 2025, Vol. 34 ›› Issue (6): 64601-064601.doi: 10.1088/1674-1056/adc2e0

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Fractional order nonlinear dynamics modeling of air spring

Zhemin Kang(康哲民)2, Shaofang Wen(温少芳)1,2,3,†, Jing Chen(陈婧)2, Yongjun Shen(申永军)1, and Yunfei Liu(刘云飞)4,2   

  1. 1 State Key Laboratory of Structural Mechanical Behavior and System Safety in Traffic Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    2 School of Traffic and Transportation, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    3 Key Laboratory of Traffic Safety and Control of Hebei Province, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    4 Shanghai Railway Bureau Group Co., Ltd. Nanxiang Station, Shanghai 201802, China
  • 收稿日期:2025-02-01 修回日期:2025-03-04 接受日期:2025-03-20 出版日期:2025-05-16 发布日期:2025-05-30
  • 通讯作者: Shaofang Wen E-mail:wsf39811@163.com
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12072206 and U1934201) and Science and Technology Project of Hebei Education Department of Hebei Province, China (Grant No. QN2024254).

Fractional order nonlinear dynamics modeling of air spring

Zhemin Kang(康哲民)2, Shaofang Wen(温少芳)1,2,3,†, Jing Chen(陈婧)2, Yongjun Shen(申永军)1, and Yunfei Liu(刘云飞)4,2   

  1. 1 State Key Laboratory of Structural Mechanical Behavior and System Safety in Traffic Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    2 School of Traffic and Transportation, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    3 Key Laboratory of Traffic Safety and Control of Hebei Province, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    4 Shanghai Railway Bureau Group Co., Ltd. Nanxiang Station, Shanghai 201802, China
  • Received:2025-02-01 Revised:2025-03-04 Accepted:2025-03-20 Online:2025-05-16 Published:2025-05-30
  • Contact: Shaofang Wen E-mail:wsf39811@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 12072206 and U1934201) and Science and Technology Project of Hebei Education Department of Hebei Province, China (Grant No. QN2024254).

摘要: The air spring is a non-metallic spring device that utilizes the deformation of flexible materials and the compression of air to generate restoring force, achieving vibration damping and buffering effects. It features height adjustment and high-frequency vibration isolation. Air springs exhibit significant viscoelastic and memory characteristics. Traditional dynamic models of air springs are complex and unable to accurately describe their viscoelastic properties. This paper introduces fractional calculus theory to study them. Through experimental research on air springs, test data are analyzed to obtain their mechanical properties under different working conditions. A fractional-order nonlinear dynamic model of the air spring is established, and the model parameters are identified using the least squares method. The experimental data are fitted to verify the model's accuracy.

关键词: air spring, experimental study, fractional calculus, dynamic characteristics

Abstract: The air spring is a non-metallic spring device that utilizes the deformation of flexible materials and the compression of air to generate restoring force, achieving vibration damping and buffering effects. It features height adjustment and high-frequency vibration isolation. Air springs exhibit significant viscoelastic and memory characteristics. Traditional dynamic models of air springs are complex and unable to accurately describe their viscoelastic properties. This paper introduces fractional calculus theory to study them. Through experimental research on air springs, test data are analyzed to obtain their mechanical properties under different working conditions. A fractional-order nonlinear dynamic model of the air spring is established, and the model parameters are identified using the least squares method. The experimental data are fitted to verify the model's accuracy.

Key words: air spring, experimental study, fractional calculus, dynamic characteristics

中图分类号: 

  • 46.55.-n
02.30.Uu (Integral transforms) 47.32.-y (Vortex dynamics; rotating fluids) 46.40.-f (Vibrations and mechanical waves)