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Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system

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Abstract

In this paper, aiming at the phenomenon of self-excited oscillation caused by nonlinear factors in a large aircraft wheel brake control system, the nonlinear dynamic behavior of the pressure servo valve-controlled cylinder system (PSVCS) is studied, and the influence law of the key parameters on the nonlinear self-excitation behavior is obtained. On this basis, the stability of the PSVCS is analyzed both in time domain and frequency domain, and it is proved in principle that the PSVCS is a stable self-closed-loop control system. Firstly, the nonlinear dynamics model of the PSVCS is established in this paper. Secondly, using the method of phase plane analysis, the nonlinear dynamic behavior of the PSVCS and the influence law of key parameters on the system are studied. Thirdly, the nonlinear system of the PSVCS is transformed into a segmented local linear system, and the stability of the prestage and the power stage is analyzed, respectively. Finally, through a performance test platform, which is used to simulate the load of PSVCS, the theoretical analysis results of this paper are verified experimentally under different working conditions. The final experimental results show that both the nonlinear dynamic model established in this paper and the influence law of the key parameters obtained by the phase plane analysis on the nonlinear self-excited oscillation behavior are correct, and the relevant conclusions can provide a reference for the design of the braking system control system.

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Data availability

The datasets generated during and analyzed during the current study are not publicly available due to privacy but are available from the corresponding author on reasonable request.

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Funding

This work was supported by National Key R&D Program of China (Grant No. [2018YFB2000700]) and National Natural Science Foundation of China (Grant No. [51905465]).

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Authors and Affiliations

  1. School of Mechanical Engineering, Yanshan University, Qinhuangdao, 066004, China

    Yan-he Song, Kai-xian Ba, Yuan Wang, Jun-xiao Zhang, Bin Yu, Qi-wei Zhang & **ang-dong Kong

  2. Hebei Provincial Key Laboratory of Heavy Machinery Fluid Power Transmission and Control, Qinhuangdao, China

    Kai-xian Ba, Bin Yu & **ang-dong Kong

Authors
  1. Yan-he Song
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  2. Kai-xian Ba
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  3. Yuan Wang
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  4. Jun-xiao Zhang
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  5. Bin Yu
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  6. Qi-wei Zhang
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  7. **ang-dong Kong
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Correspondence to Kai-xian Ba or **ang-dong Kong.

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Song, Yh., Ba, Kx., Wang, Y. et al. Study on nonlinear dynamic behavior and stability of aviation pressure servo valve-controlled cylinder system. Nonlinear Dyn 108, 3077–3103 (2022). https://doi.org/10.1007/s11071-022-07366-x

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  • DOI: https://doi.org/10.1007/s11071-022-07366-x

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