Equivalent linearization modeling and experimental validation of natural frequency and vibration isolation performance in metal braided hoses
- 1School of Naval Architecture and Intelligent Manufacturing, Jiangsu Maritime Institute, Nanjing, China
- 2School of Mechanical Engineering, Southeast University, Nanjing, China
Abstract
Metal braided hoses are widely used in the petroleum industry, marine engineering, aerospace, and other fields for their excellent displacement compensation and vibration damping. Stiffness properties have attracted most of the research so far, while the dynamic behavior of the hose remains comparatively understudied. This paper therefore establishes single-degree-of-freedom axial and bending dynamic models based on the Bouc-Wen hysteresis model and linearizes the nonlinear equations through energy-equivalent linearization, using the energy dissipated by the hysteresis loop. The linearized equations are solved analytically and validated against frequency sweep tests. The model predicts axial natural frequencies of 11.91 Hz and 19.60 Hz for the first two modes and 13.2 Hz for the first bending mode, all close to the measured values, so the equivalent linearized model can be considered reliable for engineering calculation in the low-frequency range. Experiments on hoses with different diameters, lengths, and braiding-layer numbers further show that the bellows size mainly determines the hose stiffness: larger bellows are stiffer but damp less, and adding braiding layers improves damping only until the accompanying increase in stiffness weakens isolation. In the measurements, the two-layer DN25 hose reached the highest axial vibration level difference of 12.83 dB, the longer DN25 hose reached 25.46 dB in bending, and the stiffer DN50 hose isolated much less, at 7.27 dB axially. These quantitative results provide concrete guidance for the design and application of metal braided hoses.
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BibTeX
@article{huang2026equivalent,
title = {{Equivalent linearization modeling and experimental validation of natural frequency and vibration isolation performance in metal braided hoses}},
author = {Dacheng Huang and Yue Liu and Dongqin Li and Jianrun Zhang},
journal = {PLOS One},
year = {2026},
month = nov,
doi = {10.1371/journal.pone.0361869},
url = {https://doi.org/10.1371/journal.pone.0361869},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Equivalent linearization modeling and experimental validation of natural frequency and vibration isolation performance in metal braided hoses
AU - Dacheng Huang
AU - Yue Liu
AU - Dongqin Li
AU - Jianrun Zhang
PY - 2026
DA - 2026/11/03
JO - PLOS One
DO - 10.1371/journal.pone.0361869
UR - https://doi.org/10.1371/journal.pone.0361869
AB - Metal braided hoses are widely used in the petroleum industry, marine engineering, aerospace, and other fields for their excellent displacement compensation and vibration damping. Stiffness properties have attracted most of the research so far, while the dynamic behavior of the hose remains comparatively understudied. This paper therefore establishes single-degree-of-freedom axial and bending dynamic models based on the Bouc-Wen hysteresis model and linearizes the nonlinear equations through energy-equivalent linearization, using the energy dissipated by the hysteresis loop. The linearized equations are solved analytically and validated against frequency sweep tests. The model predicts axial natural frequencies of 11.91 Hz and 19.60 Hz for the first two modes and 13.2 Hz for the first bending mode, all close to the measured values, so the equivalent linearized model can be considered reliable for engineering calculation in the low-frequency range. Experiments on hoses with different diameters, lengths, and braiding-layer numbers further show that the bellows size mainly determines the hose stiffness: larger bellows are stiffer but damp less, and adding braiding layers improves damping only until the accompanying increase in stiffness weakens isolation. In the measurements, the two-layer DN25 hose reached the highest axial vibration level difference of 12.83 dB, the longer DN25 hose reached 25.46 dB in bending, and the stiffer DN50 hose isolated much less, at 7.27 dB axially. These quantitative results provide concrete guidance for the design and application of metal braided hoses.
SN - 1932-6203
ER -