{
  "abstract": "A frequency-domain response analysis of a wind turbine rotor requires the complete hub-load spectrum, but the customary scalar thrust and torque spectra retain neither the four in-plane components nor the coupling between them. This paper derives the full six-degree-of-freedom (6-DOF) rotor-load cross-spectral-density (CSD) matrix from the IEC Kaimal turbulence model. By decoupling the spatial order of inflow coherence from the temporal Doppler shift, the formulation introduces a two-index rotational-sampling kernel. Rotor symmetry and azimuthal averaging constrain the observed Doppler carrier strictly to blade-passing harmonics $pBf_{\\mathrm{rot}}$, while the azimuthal aerodynamic transfer shifts the spatial coherence order to $pB+s$. A convergence study of the retained azimuthal order $s$ shows that $\\lvert s\\rvert\\le4$ suffices, the assembled CSD then deviating from the full-band result by less than $10^{-5}$ in relative norm. The formulation is compared with OpenFAST simulations of a rigid floating wind turbine over nine wind speeds: the six auto-spectral densities agree closely below 1~Hz, and the present theory over-predicts the spectra near the 6P and 9P rotational harmonics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33513",
  "author_total": 2,
  "authors": [
    {
      "name": "Haoran Yang"
    },
    {
      "name": "Zhaolong Han"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/awd378n4kfqjv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33513",
  "fulltext_url": null,
  "id": "awd378n4kfqjv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33513",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2202|Wind Energy Research and Development"
    ]
  ],
  "openalex": "W7223889408",
  "pdf_url": "https://arxiv.org/pdf/2610.33513",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/awd378n4kfqjv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33513",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33513"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Six-Degree-of-Freedom Rotor-Load Cross-Spectral Density from Rotor-Plane Turbulence Cross-Spectra",
  "title_text": "Six-Degree-of-Freedom Rotor-Load Cross-Spectral Density from Rotor-Plane Turbulence Cross-Spectra",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/awd378n4kfqjv",
  "venue": "arXiv",
  "versions": []
}