{
  "annotation_id": "b1e4a2ce-13e9-466a-b71a-d457de60a825",
  "date_created": "2026-03-02T18:01:18.507000Z",
  "date_modified": "2026-03-02T18:01:18.507000Z",
  "file_hash": "c1e2e7cac8416b221ba09625aa01b9111cfdb136e7a27ae7193df09249dbbccc",
  "private": false,
  "record": {
    "abstract": "We simulate the nonlinear dynamic responses in Kirchhoff rod by including the\nimportant effects due to inertia and kinematic coupling of tension and torsion.\nWe begin by reviewing a dynamic rod model of a strand (length of cable or DNA)\nin the form of a 12th order partial differential equation system. Numerical\nsolutions reveal the effects of dynamics on clamped strands due to slow\nmovements of their ends. We note that inertia plays a critical role in this\nprocess, particularly under loading conditions that pass through an\ninstability. For example, we simulated a dynamic trasition path between two\npossible equilibria of a clamped rod subject to very slow compression.",
    "arxiv_id": "physics/0702201",
    "authors": [
      "Sachin Goyal",
      "Noel C. Perkins"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "Nonlinear dynamic strand model with coupled tension and torsion",
    "url": "https://arxiv.org/abs/physics/0702201"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e81bfee-968e-45df-addc-6e214b2bce60",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}