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Statistical linearization on 2 DOFs hydropneumatic suspension with asymmetric non-linear stiffness

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Abstract

Most references on hydropneumatic suspension analysis regard it as harden Duffing spring and take the white noise as the system input, which is quite different from real physical model. It will introduce considerable errors to the analytical result compared with the numerical simulation which makes it impossible to give a good depiction of the hydropneumatic suspension dynamics. In this paper, the dynamic response of the hydropneumatic suspension is worked out using statistical linearization based on 2 DOFs nonlinear suspension model. The damping of the suspension and the tire stiffness are both regarded as linear components and the real road roughness spectrum is used to work out the system input. The explicit analytical equivalent stiffness, dynamic mean value offset from statistic equilibrium position and the sprung acceleration varied with parameters of hydropneumatic spring, road roughness and vehicle velocity are worked out by substituting the nonlinear stiffness of hydropneumatic spring with its first three terms Tyler series at the static equilibrium position using James formula. The comparison of the numerical simulation and analytical result both on statistical parameters and distribution shows the validity of the analysis. The explicit form provides a concise and valid method on hydropneumatic suspension design and optimization.

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Authors and Affiliations

  1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 100081, China

    Mingming Dong & Zhenxing Luo

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  1. Mingming Dong
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  2. Zhenxing Luo
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Correspondence to Mingming Dong.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 51005018), and Beijing Municipal Clean Vehicle Key Laboratory Open Foundation of China (2013)

DONG Mingming, born in 1975, is currently an associate professor at Laboratory of Vibration and Noise Control, School of Mechanical, Beijing Institute of Technology, China. He received his bachelor degree and PhD both from Beijing Institute of Technology, China, in 1998 and 2003, respectively. His research interests include vehicle dynamics and mechanical vibration.

LUO Zhenxing, born in 1988, is currently a master candidate at Laboratory of Vibration and Noise Control, School of Mechanical Engineering, Beijing Institute of Technology, China.

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Dong, M., Luo, Z. Statistical linearization on 2 DOFs hydropneumatic suspension with asymmetric non-linear stiffness. Chin. J. Mech. Eng. 28, 504–510 (2015). https://doi.org/10.3901/CJME.2015.0330.036

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  • DOI: https://doi.org/10.3901/CJME.2015.0330.036

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