Academic Journal of Mathematical Sciences, 2023, 4(1); doi: 10.25236/AJMS.2023.040106.
Nuo Qiu, Yang Huang, Zixing Lu
School of Mathematics, Science and Information Technology, Shaoxing University, Shaoxing, 312000, China
This paper uses a bicycle model as an example to explore its travel pattern and corresponding trajectory. The movement of the bicycle changes depends on the road conditions. The kinematic and dynamical models are used to explore its movement patterns in low and high speed states. A simplified version of the bicycle trajectory is obtained by controlling the deflection angle and the total body length. It is found that the front and rear wheel trajectories are concentric circles with the same point as the centre and different radii, and the position of the centre of mass affects the central trajectory. The model is applied to trajectory mapping to make a Taiji diagram.
Unmanned Technology, Kinematic and Dynamical Models, Prediction Model, Track Mapping, Taiji diagram
Nuo Qiu, Yang Huang, Zixing Lu. Bicycle Trajectory Control Based on Kinematic and Dynamical Models. Academic Journal of Mathematical Sciences (2023) Vol. 4, Issue 1: 32-43. https://doi.org/10.25236/AJMS.2023.040106.
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