Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations
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Abstract
This paper presents a coupled numerical-analytical framework for investigating the influence of the oil film dynamics on the vibration characteristics of the hydraulic piston pump. A finite difference solver is developed to compute the hydrodynamic pressure distribution in the distribution plate under realistic operating conditions, from which equivalent stiffness and damping coefficients are extracted using analytical squeeze-film relations and integrated into a single-degree-of-freedom vibration model. For the baseline case (\( \mu = 7.7 \times 10^{-4} \, \text{Pa·s}, \, \omega = 4000 \, \text{rpm}, \, p_p = 21.5 \, \text{MPa}, \, \gamma = 14^\circ \)), the simulation yields a mean pressure of \( 4.72 \, \text{MPa} \) and a stable mean oil film thickness of \( 5.70 \times 10^{-4} \, \text{m} \), resulting in a calibrated stiffness of \( 1.97 \times 10^7 \, \text{N·m}^{-1} \) and a damping coefficient of \( 3.21 \times 10^{-4} \, \text{N·s·m}^{-1} \). Two coefficient extraction methods are compared; although they reveal consistent trends across operating conditions, they differ by several orders of magnitude, highlighting the sensitivity of dynamic coefficient estimation to modeling assumptions. The vibration analysis yields a natural frequency of approximately \( 6.56 \, \text{kHz} \) and a near-zero damping ratio across all operating conditions investigated. These results demonstrate that while the oil film provides substantial elastic support, its intrinsic damping capacity is insufficient for passive vibration suppression, underscoring the necessity of additional structural or fluid-borne damping mechanisms in the design of low-vibration hydraulic pumps.
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References
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Cite This Article
TY - JOUR
AU - Berger, Avae
AU - Ma, Jiming
AU - Zhang, Yunrui
AU - Tian, Xiangxiang
PY - 2026
DA - 2026/06/04
TI - Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations
JO - International Journal of Thermo-Fluid Systems and Sustainable Energy
T2 - International Journal of Thermo-Fluid Systems and Sustainable Energy
JF - International Journal of Thermo-Fluid Systems and Sustainable Energy
VL - 2
IS - 2
SP - 51
EP - 62
DO - 10.62762/IJTSSE.2026.808760
UR - https://www.icck.org/article/abs/IJTSSE.2026.808760
KW - oil film
KW - piston pump
KW - dynamic coefficients
KW - vibrations
AB - This paper presents a coupled numerical-analytical framework for investigating the influence of the oil film dynamics on the vibration characteristics of the hydraulic piston pump. A finite difference solver is developed to compute the hydrodynamic pressure distribution in the distribution plate under realistic operating conditions, from which equivalent stiffness and damping coefficients are extracted using analytical squeeze-film relations and integrated into a single-degree-of-freedom vibration model. For the baseline case (\( \mu = 7.7 \times 10^{-4} \, \text{Pa·s}, \, \omega = 4000 \, \text{rpm}, \, p_p = 21.5 \, \text{MPa}, \, \gamma = 14^\circ \)), the simulation yields a mean pressure of \( 4.72 \, \text{MPa} \) and a stable mean oil film thickness of \( 5.70 \times 10^{-4} \, \text{m} \), resulting in a calibrated stiffness of \( 1.97 \times 10^7 \, \text{N·m}^{-1} \) and a damping coefficient of \( 3.21 \times 10^{-4} \, \text{N·s·m}^{-1} \). Two coefficient extraction methods are compared; although they reveal consistent trends across operating conditions, they differ by several orders of magnitude, highlighting the sensitivity of dynamic coefficient estimation to modeling assumptions. The vibration analysis yields a natural frequency of approximately \( 6.56 \, \text{kHz} \) and a near-zero damping ratio across all operating conditions investigated. These results demonstrate that while the oil film provides substantial elastic support, its intrinsic damping capacity is insufficient for passive vibration suppression, underscoring the necessity of additional structural or fluid-borne damping mechanisms in the design of low-vibration hydraulic pumps.
SN - 3069-1877
PB - Institute of Central Computation and Knowledge
LA - English
ER -
@article{Berger2026Modeling,
author = {Avae Berger and Jiming Ma and Yunrui Zhang and Xiangxiang Tian},
title = {Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations},
journal = {International Journal of Thermo-Fluid Systems and Sustainable Energy},
year = {2026},
volume = {2},
number = {2},
pages = {51-62},
doi = {10.62762/IJTSSE.2026.808760},
url = {https://www.icck.org/article/abs/IJTSSE.2026.808760},
abstract = {This paper presents a coupled numerical-analytical framework for investigating the influence of the oil film dynamics on the vibration characteristics of the hydraulic piston pump. A finite difference solver is developed to compute the hydrodynamic pressure distribution in the distribution plate under realistic operating conditions, from which equivalent stiffness and damping coefficients are extracted using analytical squeeze-film relations and integrated into a single-degree-of-freedom vibration model. For the baseline case (\( \mu = 7.7 \times 10^{-4} \, \text{Pa·s}, \, \omega = 4000 \, \text{rpm}, \, p\_p = 21.5 \, \text{MPa}, \, \gamma = 14^\circ \)), the simulation yields a mean pressure of \( 4.72 \, \text{MPa} \) and a stable mean oil film thickness of \( 5.70 \times 10^{-4} \, \text{m} \), resulting in a calibrated stiffness of \( 1.97 \times 10^7 \, \text{N·m}^{-1} \) and a damping coefficient of \( 3.21 \times 10^{-4} \, \text{N·s·m}^{-1} \). Two coefficient extraction methods are compared; although they reveal consistent trends across operating conditions, they differ by several orders of magnitude, highlighting the sensitivity of dynamic coefficient estimation to modeling assumptions. The vibration analysis yields a natural frequency of approximately \( 6.56 \, \text{kHz} \) and a near-zero damping ratio across all operating conditions investigated. These results demonstrate that while the oil film provides substantial elastic support, its intrinsic damping capacity is insufficient for passive vibration suppression, underscoring the necessity of additional structural or fluid-borne damping mechanisms in the design of low-vibration hydraulic pumps.},
keywords = {oil film, piston pump, dynamic coefficients, vibrations},
issn = {3069-1877},
publisher = {Institute of Central Computation and Knowledge}
}
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Copyright © 2026 by the Author(s). Published by Institute of Central Computation and Knowledge. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.
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