Fractional order nonlinear dynamics modeling of air spring

doi:10.1088/1674-1056/adc2e0

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.

Keywords: air spring experimental study fractional calculus dynamic characteristics

Received: 01 February 2025
Revised: 04 March 2025
Accepted manuscript online: 20 March 2025

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

Fund: 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).

Corresponding Authors: Shaofang Wen
E-mail: wsf39811@163.com

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Zhemin Kang(康哲民), Shaofang Wen(温少芳), Jing Chen(陈婧), Yongjun Shen(申永军), and Yunfei Liu(刘云飞) Fractional order nonlinear dynamics modeling of air spring 2025 Chin. Phys. B 34 064601

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