{
  "annotation_id": "781eb94b-6b0e-4388-a06b-c49d00b101e2",
  "date_created": "2026-03-02T18:00:56.687000Z",
  "date_modified": "2026-03-02T18:00:56.687000Z",
  "file_hash": "92f9e166044931276782d5fdc381e06ed9deea29c3409b84fa7ccdfd1991a68c",
  "private": false,
  "record": {
    "abstract": "The spectral problem of thin elastic shells in membrane approximation does\nnot satisfy the classical properties of compactness and so there exists an\nessential spectrum. In the first part, we propose to determinate this spectrum\nand the weakness directions in the shell. We particularly study the case of\nhomogeneous and isotropic shells with some examples. In the second part, we\nconsider an elementary model problem to study the propagation of singularities\nand their reflections at the boundary of the domain. In the last, we study the\nproblem of propagation for an isotropic cylindrical shell and we show that the\nequation of propagation does not depend on the Poisson coefficient.",
    "arxiv_id": "physics/0502155",
    "authors": [
      "Alain Campbell"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1002/mma.579",
    "title": "Essential spectrum in vibrations of thin shells in membrane   approximation. Propagation of singularities",
    "url": "https://arxiv.org/abs/physics/0502155"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "10f6b6c2-56de-4644-895f-ec77fa464745",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}