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The dynamics of a bicycle on a pump track - first results on modeling and optimal control
Publikationstyp
Journal Article
Date Issued
2024-02-01
Sprache
German
Author(s)
Schmidt, Marcus
Terschluse, Benedikt
Journal
Volume
72
Issue
2
Start Page
134
End Page
142
Citation
At-Automatisierungstechnik 71 (2): 134-142 (2024)
Publisher DOI
Scopus ID
ISSN
01782312
We investigate the dynamics of a bicycle on an uneven mountain bike track split into straight sections with small jumps (kickers) and banked corners. A basic model of the interaction of bicycle and rider proposed and used to derive equations of motion, which capture the possibilities to accelerate the bicycle without pedaling. Since this is a first approach to the problem, only corners connected by straight lines are considered to compute optimal riding strategies. The simulation is validated with experimental data obtained on a real pump track. It is demonstrated that the model effectively captures the longitudinal bike acceleration resulting from the relative vertical motion between the rider's upper body and the bicycle. Our numerical results are in good analogy with real rider's actions on similar tracks.
Subjects
dynamical systems
modeling
optimization
pump track
DDC Class
600: Technology