{
  "annotation_id": "fd924c25-010d-488e-9d5e-347e91b25c41",
  "date_created": "2026-03-02T18:01:14.821000Z",
  "date_modified": "2026-03-02T18:01:14.821000Z",
  "file_hash": "adebea393a4cafb1892ebea4cd49199f6f0ddf881aa36a511ad5760cda649906",
  "private": false,
  "record": {
    "abstract": "The purpose of this paper is to investigate experimental and numerical\ndynamic responses of a preloaded vibro-impacting Hertzian contact under\nsinusoidal excitation. Dynamic response under random excitation is analysed in\nthe second part of this paper. A test rig is built corresponding to a double\nsphere-plane contact preloaded by the weight of a moving cylinder. Typical\nresponse curves are obtained for several input levels. Time traces and spectral\ncontents are explored. Both amplitude and phase of harmonics of the dynamic\nresponse are investigated. Linearised resonance frequency and damping ratio are\nidentified from the almost linear behaviour under very small input amplitude.\nIncreasing the external input amplitude, the softening behaviour induced by\nHertzian nonlinear stiffness is clearly demonstrated. Resonance peak is\nconfined in a narrow frequency range. Jump discontinuities are identified for\nboth amplitude and phase responses. Forced response spectrum exhibits several\nharmonics because of nonlinear Hertzian restoring force. Numerical simulations\nshow a very good agreement with experimental results. For higher input\namplitude, system exhibits vibro-impacts. Loss of contact non-linearity clearly\ndominates the dynamic behaviour of the vibroimpacting contact and leads to a\nwide frequency range softening resonance. Spectral content of the response is\ndominated by both the first and the second harmonics. Evolution of the\nexperimental downward jump frequency versus input amplitude allows the\nidentification of the nonlinear damping law during intermittent contact.\nSimulations of the vibroimpacting Hertzian contact are performed using a\nshooting method and show a very good agreement with experimental results.",
    "arxiv_id": "physics/0701032",
    "authors": [
      "Emmanuel Rigaud",
      "Jo\u00ebl Perret-Liaudet"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1016/S0022-460X(02)01262-2",
    "journal_ref": "Journal of Sound and Vibration 265 (2003) 289-307",
    "title": "Experiments and numerical results on nonlinear vibrations of an   impacting hertzian contact. Part 1: harmonic excitation",
    "url": "https://arxiv.org/abs/physics/0701032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a1974a79-08ab-404c-8073-f04614974037",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}