{
  "abstract": "To enable consistent modeling and quantitative evaluation of vibration-energy transmission in centrifugal pumps with multiple coupled substructures and branches, this study develops a generalized transfer-matrix model. The method combines Craig-Bampton reduction with the four-terminal parameter method and the multibody system transfer matrix method. Dynamic-equilibrium and kinematic-compatibility constraints are incorporated at branch nodes so that chain-like and branched paths can be assembled within one formulation. A vibration-power-flow model was developed for three layouts of a prototype comprising an equivalent pump body, an extended casing, spring–damper connectors, and a support base. Its predictions of axial active power flow at the L6 mounting-foot connection were compared with measurements over 8–1000 Hz. The mean relative error for the first 12 natural frequencies was 4.38%. The power-flow-level RMSEs for Layouts 1–3 were 3.12, 2.71, and 2.28 dB, respectively, and the highest proportion of frequency points within a ±3 dB deviation band was 91.4%. The three layouts exhibited similar power-flow trends over approximately 8–80 Hz, whereas differences in amplitude and peak–valley locations became pronounced above 250 Hz as energy was redistributed among parallel paths. The proposed framework provides a quantitative basis for comparing centrifugal-pump layouts and controlling vibration-transmission paths.",
  "abstract_shown": true,
  "affiliations": [
    "College of Energy Engineering, Zhejiang University, Hangzhou 310027, China",
    "Wuhan Second Ship Design and Research Institute, Wuhan 430205, China"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 7,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Fabao Yang"
    },
    {
      "affs": [
        0
      ],
      "name": "Xinxiang He",
      "orcid": "0009-0006-0283-1635"
    },
    {
      "affs": [
        1
      ],
      "name": "Xiaoyong Yu"
    },
    {
      "affs": [
        0
      ],
      "name": "Shuowen Wang"
    },
    {
      "affs": [
        1
      ],
      "name": "Shuaijun Li"
    },
    {
      "affs": [
        0
      ],
      "name": "Peng Wu"
    },
    {
      "affs": [
        0
      ],
      "name": "Dazhuan Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/676pqyy6c7fs2.bib",
  "cited_by": 0,
  "doi": "10.3390/math14203642",
  "fulltext_url": null,
  "id": "676pqyy6c7fs2",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/20/3642",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2210|Mechanical Engineering Research and Applications"
    ]
  ],
  "openalex": "W7221166295",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/676pqyy6c7fs2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14203642",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/20/3642"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "issn:2227-7390",
      "subfield": "general"
    }
  ],
  "title": "Vibration Power Flow Modeling and Experimental Verification of a Multi-Substructure Centrifugal Pump Prototype",
  "title_text": "Vibration Power Flow Modeling and Experimental Verification of a Multi-Substructure Centrifugal Pump Prototype",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/676pqyy6c7fs2",
  "venue": "Mathematics",
  "versions": []
}