English

Hamel equations and quasivelocities for nonholonomic systems with inequality constraints

Mathematical Physics 2023-04-03 v1 math.MP

Abstract

In this paper we derive Hamel equations for the motion of nonholonomic systems subject to inequality constraints in quasivelocities. As examples, the vertical rolling disk hitting a wall and the Chaplygin sleigh with a knife edge constraint hitting a circular table are shown to illustrate the theoretical results.

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Cite

@article{arxiv.2303.17920,
  title  = {Hamel equations and quasivelocities for nonholonomic systems with inequality constraints},
  author = {Alexandre Anahory Simoes and Leonardo Colombo},
  journal= {arXiv preprint arXiv:2303.17920},
  year   = {2023}
}

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7 pages