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Stochastic dynamics of aircraft ground taxiing via improved physics-informed neural networks

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Abstract

In this paper, the stochastic propagation of the aircraft taxiing under the excitation of uneven runway is investigated based on physics-informed neural networks (PINNs). In particular, we successfully applied the PINNs with layer-wise locally adaptive activation functions (L-LAAF) and the learning rate decay strategy to address the challenging task of parameter identification for some aircraft systems. Specifically, the accuracy and effectiveness of the proposed method in solving the time-dependent Fokker–Planck equation for systems were first demonstrated. Subsequently, the proposed method is effectively utilized to identify the damping coefficient of landing gear and the aircraft body weight. Through numerical experiments and comparisons, we have demonstrated that incorporating L-LAAF and learning rate decay strategies can further enhance the performance of the network. The numerical simulation based on Monte Carlo fully validates the method. The development of physics-based deep learning techniques for aircraft system parameter identification research can help researchers better understand and control the behavior of systems, providing effective solutions for optimizing system design.

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The data that supports the findings of this study is available from the corresponding author upon reasonable request.

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Funding

This work was supported by the National Natural Science Foundation of China [grant numbers 12172286, 11872306]; and the Aeronautical Science Foundation of China [Grant Number 201941053004].

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Authors and Affiliations

  1. School of Mathematics and Statistics, Northwestern Polytechnical University, Xi’an, 710072, China

    Ying Zhang, Zhengrong Jin, Kaixin Zheng & Wantao Jia

  2. The State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190, China

    Long Wang

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  1. Ying Zhang
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  2. Zhengrong Jin
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  4. Kaixin Zheng
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Correspondence to Wantao Jia.

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Zhang, Y., Jin, Z., Wang, L. et al. Stochastic dynamics of aircraft ground taxiing via improved physics-informed neural networks. Nonlinear Dyn 112, 3163–3178 (2024). https://doi.org/10.1007/s11071-023-09173-4

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