Steindl, A., Edelmann, J., & Plöchl, M. (2023, June 2). Critical Manifolds in a Simple Two-wheel Vehicle Model [Conference Presentation]. 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics, Dresden, Germany.
E325 - Institut für Mechanik und Mechatronik E325-01 - Forschungsbereich Technische Dynamik und Fahrzeugdynamik
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Date (published):
2-Jun-2023
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Event name:
93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics
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Event date:
30-May-2023 - 2-Jun-2023
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Event place:
Dresden, Germany
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Keywords:
brush tyre model; singularity; singular manifold
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Abstract:
We consider a simple two-wheel vehicle model, assuming a brush model for the tyre behaviour. In recent numerical investigations of the vehicle dy-
namics we frequently observed singular perturbation phenomena, like Canard explosions and periodic solutions with large periods, which evolve along slow
manifolds for a long time. These situations occur, when both the front and rear wheel operate in their saturation regimes. In this talk we intend to explain the observed behaviour using the methods of geometric singular per-
turbation theory. We determine the singular and slow manifolds and study their stability properties.
