Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations
Research Article  ·  Published: 04 June 2026
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International Journal of Thermo-Fluid Systems and Sustainable Energy
Volume 2, Issue 2, 2026: 51-62
Research Article Open Access

Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations

1 Sino-French Engineer School (École Centrale de Pékin), Beihang University, Beijing 100191, China
* Corresponding Author: Avae Berger, [email protected]
Volume 2, Issue 2

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.

Graphical Abstract

Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations

Keywords

oil film piston pump dynamic coefficients vibrations

Data Availability Statement

Data will be made available on request.

Funding

This work was supported without any funding.

Conflicts of Interest

The authors declare no conflicts of interest.

AI Use Statement

The authors declare that no generative AI was used in the preparation of this manuscript.

Ethical Approval and Consent to Participate

Not applicable.

References

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Cite This Article

APA Style
Berger, A., Ma, J., Zhang, Y., & Tian, X. (2026). Modeling and Simulation of Oil Film Influence on Hydraulic Piston Pump Vibrations. International Journal of Thermo-Fluid Systems and Sustainable Energy, 2(2), 51-62. https://doi.org/10.62762/IJTSSE.2026.808760
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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  - 
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@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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