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Acta Aeronautica et Astronautica Sinica

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Investigation of Bifurcation Characteristics and Parameter Coupling Mechanisms in Landing Gear Systems

  

  • Received:2025-08-31 Revised:2025-10-13 Online:2025-10-17 Published:2025-10-17
  • Contact: XIAO CHUANLIU

Abstract: Based on a delay tire dynamic model, this paper formulates coupled landing gear-tire shimmy dynamics equations, taking into account the dynamic variations in tire lateral deformation modes. Utilizing Hopf bifurcation theory, we compute the global dynamic characteristics of the system through multi-dimensional projections, quantitatively revealing the influence patterns and mechanisms of key parameters (such as lateral bending stiffness and torsional stiffness) on the stability of the landing gear system across various taxiing speeds. Comparative results with traditional tire models show both consistency and highlight their limitations in capturing parameter coupling effects. By employing an enhanced Bayesian optimization method, we optimize the bifur-cation characteristics of the landing gear system, resulting in a significant improvement in stability. The study identifies that when the torsional mode frequency of the landing gear approaches the lateral bending mode frequency, substantial modal cou-pling occurs, creating a bistable shimmy critical boundary that drastically reduces stability. Additionally, distinct stability characteristics are observed in both low and high-speed ranges. Increasing torsional stiffness and decreasing tire lateral stiffness yield notable shimmy suppression effects across the entire speed spectrum, indicating their potential as key control parameters for targeted design and optimization.

Key words: the delay tire model, landing gear shimmy, torsional stiffness, lateral bending stiffness, stability analysis, Hopf bifurcation.

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