English

The dynamics of an articulated $n$-trailer vehicle

Mathematical Physics 2018-04-26 v1 math.MP

Abstract

We derive the reduced equations of motion for an articulated nn-trailer vehicle that moves under its own inertia on the plane. We show that the energy level surfaces in the reduced space are (n+1)(n+1)-tori and we classify the equilibria within them, determining their stability. A thorough description of the dynamics is given in the case n=1n=1.

Keywords

Cite

@article{arxiv.1508.06564,
  title  = {The dynamics of an articulated $n$-trailer vehicle},
  author = {Alejandro Bravo-Doddoli and Luis C. García-Naranjo},
  journal= {arXiv preprint arXiv:1508.06564},
  year   = {2018}
}

Comments

23 pages, 11 figures