{
  "annotation_id": "20eb9323-1d49-4d03-9032-d4b52bf27a21",
  "date_created": "2026-02-17T05:53:23.685000Z",
  "date_modified": "2026-02-17T05:53:23.685000Z",
  "file_hash": "4aa0c6958d9bcf46ca7dab897c0c394f50a08daa634c713fbcd83943c9ae111e",
  "private": false,
  "record": {
    "abstract": "In the context of geometric Impulsive Mechanics of systems with a finite number of degrees of freedom, we model the roughness of a unilateral constraint ${\\mathcal S\\/}$ by introducing a suitable instantaneous kinetic constraint ${\\mathcal B\\/}\\subset {\\mathcal S\\/}$. A constitutive characterization of ${\\mathcal B\\/}$ based only on the geometric properties of the setup and on the dry friction laws can then be introduced to model the frictional behavior of ${\\mathcal S\\/}$ in an impact of the system. Such a model restores determinism and avoids the analysis of frictional forces in the contact point, with all its associated theoretical problems of causality. Three examples of increasing complexity, showing a natural stick--slip behavior of the impact, are presented.",
    "arxiv_id": "2601.10432",
    "authors": [
      "Stefano Pasquero"
    ],
    "categories": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "title": "Geometric characterization of frictional impacts by means of breakable kinetic constraints",
    "url": "https://arxiv.org/abs/2601.10432",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9c2a7700-6fb7-4317-837b-00e44ae1bb7f",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}