The paper proposes an analysis of shimmy oscillations in one of the most used aircraft in general aviation. The main goal of the research is to develop a mathematical model with three degrees of freedom created in a Matlab environment on a Cessna Citation M2. The parameters of the model are obtained from Cessna Textron Aviation, Goodyear Aviation tires and scientific studies. Present research focuses on three main areas: 1) mathematical model, 2) numerical application and results, and 3) discussion and conclusion. The results obtained are presented graphically to facilitate the study of landing gear shimmy oscillations. The effects observed present the subject of discussions in the paper. The model makes the optimisation of the amplitude and time of shimmy oscillation possible.
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