{
  "annotation_id": "e5f4b878-49d1-4fdd-a9ce-7d0e86b2c869",
  "date_created": "2026-03-02T18:00:39.814000Z",
  "date_modified": "2026-03-02T18:00:39.814000Z",
  "file_hash": "958cd0bf7013c8fa6903e4c41a17f6952e2edde1e2bf2acccae83de7b7545894",
  "private": false,
  "record": {
    "abstract": "The Kirchhoff model describes the statics and dynamics of thin rods within\nthe approximations of the linear elasticity theory. In this paper we develop a\nmethod, based on a shooting technique, to find equilibrium configurations of\nfinite rods subjected to boundary conditions and given load parameters. The\nmethod consists in making a series of small changes on a {\\it trial} solution\nsatisfying the Kirchhoff equations but not necessarily the boundary conditions.\nBy linearizing the differential equations around the trial solution we are able\nto push its end point to the desired position, step by step. The method is also\nuseful to obtain configurations of rods with fixed end points but different\nmechanical parameters, such as tension, components of the moment or\ninhomogeneities.",
    "arxiv_id": "physics/0209054",
    "authors": [
      "Alexandre F. da Fonseca",
      "Marcus A. M. de Aguiar",
      "."
    ],
    "categories": [
      "physics.bio-ph",
      "physics.class-ph"
    ],
    "doi": "10.1016/S0167-2789(03)00070-8",
    "journal_ref": "Physica D Vol. 181, p. 53-69 (2003)",
    "title": "Solving the boundary value problem for finite Kirchhoff rods",
    "url": "https://arxiv.org/abs/physics/0209054"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "829db4d7-1d79-48c8-a3a9-b801525bdc7d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}