Dynamic Modeling and Vibration Response Analysis of an Internal Gear Pump Considering the Rolling-sliding Bearing Structure

doi:10.3901/JME.260691

Abstract

Abstract: To investigate the influence of rolling-sliding bearing structures on the dynamic characteristics of internal gear pumps, a theoretical dynamic model with 5 concentrated mass points and 22 degrees of freedom is established. The model is developed based on the contact mechanics of rolling bearings and the hydrodynamic lubrication theory of sliding bearings, comprehensively accounting for gear meshing forces, hydraulic forces, bearing contact forces, and oil film supporting forces of sliding bearing. The implicit and explicit integration method is employed to solve the vibration response of the model. The accuracy of the theoretical model is also validated by comparing its results with experimentally measured vibration velocities on the pump body surface. On this basis, the effects of key structural parameters, including the fit clearance of the rolling bearing outer ring, the the fit clearance of the sliding bearing, and the width-to-diameter ratio of the sliding bearing, on the vibration characteristics of the gear pump are systematically analyzed. The results indicate that variations in bearings parameters significantly influence the vibration response of gear pumps and reshape the distribution of their spectral energy. The present findings contribute to establishing a theoretical framework and offer practical guidance for the structural design of high-performance gear pumps characterized by reduced vibration and noise levels.

Key words: internal gear pump, dynamic modeling, rolling-sliding bearings, vibration response analysis

CLC Number:

TH113

YE Shaogan, WU Yunjing, ZHANG Yuqiang, BAO Yue, WEN Jinrong, MIAO Kefei, HE Jun, LIU Huixiang, ZHAO Shoujun. Dynamic Modeling and Vibration Response Analysis of an Internal Gear Pump Considering the Rolling-sliding Bearing Structure[J]. Journal of Mechanical Engineering, 2026, 62(13): 120-134.

Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks

URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260691

http://www.cjmenet.com.cn/EN/Y2026/V62/I13/120

References

[1] DING Ruqi，SUN Guohua，ZHANG Junhui，et al. A review of independent metering control system for mobile machinery[J]. International Journal of Hydromechatronics，2025，8(5)：1-39.
[2] CHENG Min，HE Jingbo，MU Hongyun，et al. Opportunities and challenges of electrohydraulic control systems in the electrification era of non-road mobile machinery[J]. Journal of Advanced Manufacturing Science and Technology，2024，4(2)：2024001.
[3] MU Hongyun，CHENG Min，TANG Xiongfeng，et al. A hybrid distributed-centralized load sensing system for efficiency improvement of electrified construction machinery[J]. Energy，2025，314134123-134123.
[4] LIU Fangxu，WU Wei，HU Jibin，et al. Design of multi-range hydro-mechanical transmission using modular method[J]. Mechanical Systems and Signal Processing，2019，1261-20.
[5] PENG Yanhong，LI Dongze，YANG Xiaoyan，et al. A review on electrohydrodynamic(EHD) pump[J]. Micromachines，2023，14(2)：321-321.
[6] WANG Wentao，CHAO Qun，SHI Junjie，et al. Condition monitoring of axial piston pumps based on machine learning-driven real-time CFD simulation[J]. Engineering Applications of Computational Fluid Mechanics，2025，19(1)：2474676.
[7] CHEN Zhen，LI Yingqi，XIAO Xiaoping，et al. Design and pressure pulsation analysis of pure rolling external helical gear pumps with different tooth profiles[J]. Fluids，2025：10(2)：44-44.
[8] SI Qiaorui，ALI A，YUAN Jianping，et al. Flow-Induced noises in a centrifugal pump：a review[J]. Science of Advanced Materials，2019，11(6)：909-924.
[9] SHEN Haidong，LI Zhiqiang，LIANG Qiao，et al. A method for gear fatigue life prediction considering the internal flow field of the gear pump[J]. Mechanical Systems and Signal Processing，2018，99：921-929.
[10] 齐国宁，吴宝海，符江锋. 高速高压燃油齿轮泵典型卸荷槽对比分析[J]. 航空学报，2024，45(05)：529666. QI Guoning，WU Baohai，FU Jiangfeng. Comparative analysis on relief grooves of high-speed and high-pressure aeroengine fuel gear pumps[J]. Acta Aeronautica et Astronautica Sinica，2024，45(05)：529666.
[11] 赵斌，何焱泳，郭伟伟，等. 新型变排量外啮合齿轮泵流量特性研究[J]. 机械工程学报，2019，55(24)：227-235，252. ZHAO Bin，HE Yanyong，GUO Weiwei，et al. Study on flow characteristics of a new variable displacement external gear pump[J]. Journal of Mechanical Engineering，2019，55(24)：227-235，252.
[12] CHEN Zaigang，NING Jieyu，WANG Kaiyun，et al. An improved dynamic model of spur gear transmission considering coupling effect between gear neighboring teeth[J]. Nonlinear Dynamics，2021，106：339-357
[13] 杜睿龙，喻峰，周华，等. 内啮合齿轮泵内齿轮的径向微振动的研究[J]. 液压与气动，2015,(06)：29-34. DU Ruilong，YU Feng，ZHOU Hua，et al. Study on radial micro-vibration of internal gear in internal gear pump[J]. Chinese Hydraulics & Pneumatics，2015,(06)：29-34.
[14] PAN Dinghao，VACCA A. Modeling of crescent-type internal gear pumps considering gear radial micromotion[J]. Chemical Engineering & Technology，2023，46(1)：128-136.
[15] YE Shaogan，SUN Yintong，ZHANG Junhui，et al. A new coupled dynamic model to study the vibration and lubrication characteristics of slipper/swash-plate interface in an axial piston pump[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2025：13506501241308942.
[16] ZHAO Xinran，VACCA A. Multi-domain simulation and dynamic analysis of the 3D loading and micromotion of continuous-contact helical gear pumps[J]. Mechanical Systems and Signal Processing，2022，163：108116.
[17] YE Shaogan，ZHANG Junhui，XU Bin，et al. Theoretical investigation of the contributions of the excitation forces to the vibration of an axial piston pump[J]. Mechanical Systems and Signal Processing，2019，129：201-217.
[18] YE Shaogan，ZHENG Chengliang，BAO Yue，et al. Dynamic characteristics analyses of coupled-multibody axial piston pump model[J]. International Journal of Mechanical Sciences，2025：110379.
[19] YE Shaogan，ZHANG Junhui，XU Bin，et al. A theoretical dynamic model to study the vibration response characteristics of an axial piston pump[J]. Mechanical Systems and Signal Processing，2021，150：107237.
[20] YE Shaogan，LIN Quan，ZHENG Chenliang，et al. Dynamic modeling and vibration response analysis of an internal gear pump[J]. Proceedings of the Institution of Mechanical Engineers，Part C：Journal of Mechanical Engineering Science，2024：09544062241303386.
[21] XIANG Pengjie，YAN Liang，LIU Xiaoshuai，et al. Structural topology design for electromagnetic performance enhancement of permanent-magnet machines[J]. Chinese Journal of Mechanical Engineering，2025，38：26.
[22] XIANG Pengjie，YAN Liang，GE Lijia，et al. Development of a radial-flux machine with multi-shaped magnet rotor and non-ferromagnetic yoke for low torque ripple and rotor mass[J]. IEEE Transactions on Industry Applications，2025，2897-2910.
[23] 王展，贺文治，王子男，等. 轴承安装配合方式对电主轴轴承-转子系统振动的影响[J]. 轴承，2023(12)：11-19. WANG Zhan，HE Wenzhi，WANG Zinan，et al. Influence of bearing fit and mounting methods on vibration of motorized spindle bearing-rotor system[J]. Bearing，2023(12)：11-19.
[24] 胡爱军，吉新星，向玲，等. 滚动轴承非线性时变参数动力学模型与故障机理研究[J]. 机械工程学报，2022，58(19)：139-147. HU Aijun，JI Xinxing，XIANG Ling，et al. Nonlinear time-varying dynamic model and fault mechanism study of rolling bearings[J]. Journal of Mechanical Engineering，2022，58(19)：139–147.
[25] 罗忠，石宝龙，吴法勇，等. 考虑装配工艺的螺栓连接转子系统振动特性研究[J]. 机械工程学报，2024，60(08)：396-406. LUO Zhong，SHI Baolong，WU Fayong，et al. Study on the vibration characteristics of bolted joint rotor system considering assembly technology[J]. Journal of Mechanical Engineering，2024，60(08)：396-406.
[26] 罗忠，王晋雯，韩清凯，等. 组合支承转子系统动力学的研究进展[J]. 机械工程学报，2021，57(07)：44-60. LUO Zhong，WANG Jinwen，HAN Qingkai，et al. Research progress on dynamics of a rotor system supported by combined bearings[J]. Journal of Mechanical Engineering，2021，57(07)：44–60.
[27] 韩院涛，张大义，赵镇瑶，等. 径向可倾瓦轴承静态特性分析[J]. 推进技术，2024，45(07)：208-223. HAN Yuantao，ZHANG Dayi，ZHAO Zhenyao，et al. Static performance analysis of radial tilting pad bearings[J]. Journal of Propulsion Technology，2024，45(07)：208–223.
[28] 李浩，谭建军，朱才朝，等. 斜齿轮啮合弯矩对风电齿轮箱行星轮滑动轴承瞬态润滑性能影响分析[J]. 中国机械工程，2024，35(06)：1010-1022. LI Hao，TAN Jianjun，ZHU Caichao，et al. Influence of meshing bending moment of helical gears on transient lubrication performance of planet wheel plain bearings in wind turbine gearboxes[J]. China Mechanical Engineering，2024，35(06)：1010–1022.
[29] 解忠良，焦见，杨康. 航空发动机齿轮泵轴承润滑及抗偏载特性分析[J]. 机械工程学报，2023，59(09)：198-211. XIE Zhongliang，JIAO Jian，YANG Kang. Study on the lubrication and anti-eccentric load characteristics of the aero gear pump bearing [J]. Journal of Mechanical Engineering，2023，59(09)：198-211.
[30] 赵资恒，谭雁清，马廉洁，等. 考虑流固耦合作用的超高速液体动静压轴承油膜特性研究[J]. 润滑与密封，2024，49(07)：50-57. ZHAO Ziheng，TAN Yanqing，MA Lianjie，et al. Study on oil film characteristics of ultra-high-speed hydrodynamic and hydrostatic bearings considering fluid-structure interaction[J]. Lubrication Engineering，2024，49(07)：50-57.