Research progress on nonlinear dynamic stability of aircraft landing system

The issue of nonlinear dynamic stability in aircraft landing system has consistently posed a significant challenge in the design of both aircraft and landing gear systems, involving complex geometric nonlinearity, physical nonlinearity, and their interactions. Although the traditional time domain analysis method can effectively determine the stability, it exhibits limitation of high computational load in analyzing parameter influences and in achieving rapid and accurate parametric design. In recent years, the numerical continuation method has been widely applied in the field of nonlinear dynamic stability analysis of the landing system. This method enables rapid and precise analysis of the stability variation of the dynamic model with parameters, thereby significantly enhancing the design efficiency of aircraft and landing gear. Firstly, this paper describes the methods of dynamic stability, bifurcation analysis, and continuation calculation. Then, according to the functional classification of the landing system, the research status of the shimmy stability, taxiing direction stability, and retraction mechanism stability of the landing gear are summarized. The application research of bifurcation analysis methods and nonlinear dynamic stability based on the numerical continuation method in landing gear systems is mainly discussed. Finally, the research on the shimmy stability, taxiing direction stability, and retraction mechanism stability of aircraft landing gear is summarized and prospected.