Vibration Power Flow Modeling and Experimental Verification of a Multi-Substructure Centrifugal Pump Prototype
- 1College of Energy Engineering, Zhejiang University, Hangzhou 310027, China
- 2Wuhan Second Ship Design and Research Institute, Wuhan 430205, China
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.
Related
- Noncoherent MIMO in the FR3 Upper Mid-Band Using Grassmannian Signaling: Prototype and Experimental Evaluation
- Equivalent linearization modeling and experimental validation of natural frequency and vibration isolation performance in metal braided hoses
- KINDER: Kernel-based Independence for Fair Representation Learning via Prototype-space Erasure
- ResearchMatch: A Semantic-Bibliometric Prototype for Evidence-Supported Researcher Discovery
- Radial–Angular Feature Shaping with an eXtra-Node and Prototype-Based Cosine Similarity Under Adversarial Perturbations
BibTeX
@article{yang2026vibration,
title = {{Vibration Power Flow Modeling and Experimental Verification of a Multi-Substructure Centrifugal Pump Prototype}},
author = {Fabao Yang and Xinxiang He and Xiaoyong Yu and Shuowen Wang and Shuaijun Li and Peng Wu and Dazhuan Wu},
journal = {Mathematics},
year = {2026},
month = oct,
doi = {10.3390/math14203642},
url = {https://www.mdpi.com/2227-7390/14/20/3642},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Vibration Power Flow Modeling and Experimental Verification of a Multi-Substructure Centrifugal Pump Prototype
AU - Fabao Yang
AU - Xinxiang He
AU - Xiaoyong Yu
AU - Shuowen Wang
AU - Shuaijun Li
AU - Peng Wu
AU - Dazhuan Wu
PY - 2026
DA - 2026/10/09
JO - Mathematics
DO - 10.3390/math14203642
UR - https://www.mdpi.com/2227-7390/14/20/3642
AB - 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.
SN - 2227-7390
ER -