Flow pulsation characteristics in multi-tooth cavity of arc aero gear pump
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摘要:
为研究齿轮齿数对燃油圆弧齿轮泵流量脉动特性的影响规律，利用RNG（re-normalization group）
k-ε 湍流模型对6～9齿的圆弧齿轮泵进行三维瞬态流场数值模拟，推导其瞬时流量的数学模型，揭示齿数对该泵流量特性的影响规律。结果表明：齿轮齿数对该齿轮泵性能有显著影响，以转速为2000 r/min、进出口压差为8 MPa工况为例，7齿、8齿、9齿泵的出口容积效率较6齿泵相比依次变化：+18.34%、+7.15%、+20.70%。随着齿轮齿数的增加，齿轮所受径向、轴向激励力脉动幅值显降低，7齿、8齿、9齿齿轮径向激励力均值较6齿齿轮相比依次变化：−19.84%、−26.77%、−29.82%，轴向激励力均值较6齿齿轮相比依次变化：−10.37%、−77.64%、−61.49%。通过小波变换对齿轮径向、轴向受力脉动频率进行分析，其脉动频率与齿轮啮合次数呈周期性相关。Abstract:To explore the influence of the number of gear teeth on the performance parameters of the fuel arc gear pump, the three-dimensional transient flow field of the number of teeth for 6- to 9-tooth arc gear pumps was numerically simulated based on the RNG (re-normalization group)
k-ε turbulence model. The mathematical model of the instantaneous flow rate was derived, and the influence of the number of gear teeth on the flow performance of the gear pump was revealed. The results showed that the number of gear teeth had a significant impact on the performance of this pump. The outlet volumetric efficiency of the 7-tooth, 8-tooth, and 9-tooth gear pumps was successively changed compared with the 6-tooth gear pump: +18.34%, +7.15%, +20.70% under 8 MPa,2000 r/min operating condition. The pulsation characteristics of the radial force and axial force of gears decreased significantly with the increase of the number of gear teeth. The mean value of the radial exciting force of the 7-tooth, 8-tooth, and 9-tooth gear pumps was successively changed compared with the 6-tooth: −19.84%, −26.77%, −29.82%, and the mean value of axial exciting force changed compared with the 6-tooth: −10.37%, −77.64%, −61.49%. The radial force and axial force pulsation frequency of the gear meshing frequency was analyzed by the wavelet transform.-
Key words:
- arc gear pump /
- number of gear teeth /
- flow characteristics /
- exciting force /
- wavelet transform
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图 5 齿轮泵试验台示意图
1 油箱；2、11 过滤器；3、10 截止阀；4、7 压力表；5 样机；6 电动机；8 流量计；9 压力控制阀。
Figure 5. Schematic diagram of gear pump test bench
图 8 不同工况下Qop、ηv与齿数的关系
Figure 8. Relationship between Qop，ηv and the number of gear teeth under different operating conditions
图 9 不同工况下δQ与齿数的关系
Figure 9. Relationship between δQ and the number of gear teeth under different operating conditions
图 10 出口流量与齿数的关系
Figure 10. Relationship between the number of gear teeth and outlet flow
图 12 齿轮啮合理论瞬时流量示意图
Figure 12. Schematic diagram of gear pump’s theory instantaneous flow
图 13 7齿泵的理论瞬时流量和模拟瞬时流量对比图
Figure 13. Comparison of instantaneous flow of 7-tooth gear pump’s theory and simulation values
图 14 6～9齿泵的压力分布示意图
Figure 14. Schematic diagram of pressure distribution of the 6- to 9-tooth pump
图 17 6～9齿从动齿轮径向激励力的脉动特性
Figure 17. Radial force pulsation spectrum of the 6- to 9-tooth slave gear
图 18 6～9齿从动齿轮轴向激励力的脉动特性
Figure 18. Axial force pulsation spectrum of the 6- to 9-tooth slave gear
表 1 6～9齿齿轮几何参数
Table 1. Geometric parameters of 6- to 9-tooth gear
Z β/（°） A/mm 6 35.45 27.20 7 32.14 28.00 8 29.35 28.64 9 26.97 29.16 
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[1] 朱嘉兴,李华聪,符江锋,等. 航空齿轮泵滑动轴承接触状态流体润滑特性[J]. 航空动力学报,2020,35(1): 169-177. ZHU Jiaxing,LI Huacong,FU Jiangfeng,et al. Lubrication characteristics in contact state of journal bearings inside aero gear pump[J]. Journal of Aerospace Power,2020,35(1): 169-177. (in ChineseZHU Jiaxing, LI Huacong, FU Jiangfeng, et al. Lubrication characteristics in contact state of journal bearings inside aero gear pump[J]. Journal of Aerospace Power, 2020, 35(1): 169-177. (in Chinese) [2] MO Jintao,GU Chaohua,PAN Xiaohong,et al. A thermohydrodynamic analysis of the self-lubricating bearings applied in gear pumps using computational fluid dynamics method[J]. Journal of Tribology,2018,140(1): 011102. doi: 10.1115/1.4036835 [3] 李阁强,张龙飞,韩伟锋,等. 双圆弧斜齿齿轮泵脉动特性分析及齿形设计[J]. 中国机械工程,2018,29(2): 186-192. LI Geqiang,ZHANG Longfei,HAN Weifeng,et al. Pulsation characteristic analysis and tooth profile design of double-circular-arc helical gear pumps[J]. China Mechanical Engineering,2018,29(2): 186-192. (in ChineseLI Geqiang, ZHANG Longfei, HAN Weifeng, et al. Pulsation characteristic analysis and tooth profile design of double-circular-arc helical gear pumps[J]. China Mechanical Engineering, 2018, 29(2): 186-192. (in Chinese) [4] ZHAO Xinran,VACCA A. Analysis of continuous-contact helical gear pumps through numerical modeling and experimental validation[J]. Mechanical Systems and Signal Processing,2018,109: 352-378. doi: 10.1016/j.ymssp.2018.02.043 [5] 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. doi: 10.1016/j.ymssp.2021.108116 [6] SZWEMIN P,FIEBIG W. The influence of radial and axial gaps on volumetric efficiency of external gear pumps[J]. Energies,2021,14(15): 4468. doi: 10.3390/en14154468 [7] TANKASALA S,VACCA A. Theoretical analysis and design of a variable delivery external gear pump for low and medium pressure applications[J]. Journal of Mechanical Design,2019,141(1): 013401. doi: 10.1115/1.4041351 [8] HUANG K J,CHEN C C,CHANG Y Y. Geometric displacement optimization of external helical gear pumps[J]. Proceedings of the Institution of Mechanical Engineers,Part C: Journal of Mechanical Engineering Science,2009,223(9): 2191-2199. doi: 10.1243/09544062JMES1398 [9] 周兰美. 外啮合异齿数斜齿轮泵流量脉动和流量特性的研究[J]. 机床与液压,2019,47(21): 143-146. ZHOU Lanmei. Study on flow pulsation and flow characteristics of external helical gear pump with different number of teeth[J]. Machine Tool & Hydraulics,2019,47(21): 143-146. (in ChineseZHOU Lanmei. Study on flow pulsation and flow characteristics of external helical gear pump with different number of teeth[J]. Machine Tool & Hydraulics, 2019, 47(21): 143-146. (in Chinese) [10] 郜立焕,唐晓阳,李言芝,等. 齿数对齿轮泵流量脉动特性影响的分析[J]. 机床与液压,2011,39(6): 71-72. GAO Lihuan,TANG Xiaoyang,LI Yanzhi,et al. Influence of teeth number on flow pulsation characteristic of gear pump[J]. Machine Tool & Hydraulics,2011,39(6): 71-72. (in ChineseGAO Lihuan, TANG Xiaoyang, LI Yanzhi, et al. Influence of teeth number on flow pulsation characteristic of gear pump[J]. Machine Tool & Hydraulics, 2011, 39(6): 71-72. (in Chinese) [11] 许文纲,王志颖,孙闯,等. 转频调制下齿轮泵压力脉动机理[J]. 航空学报,2022,43(9): 213-226. XU Wengang,WANG Zhiying,SUN Chuang,et al. Pressure pulsation mechanism of gear pump with frequency modulation[J]. Acta Aeronautica et Astronautica Sinica,2022,43(9): 213-226. (in ChineseXU Wengang, WANG Zhiying, SUN Chuang, et al. Pressure pulsation mechanism of gear pump with frequency modulation[J]. Acta Aeronautica et Astronautica Sinica, 2022, 43(9): 213-226. (in Chinese) [12] LIU Dawei,BA Yanbo,REN Tingzhi. Flow fluctuation abatement of high-order elliptical gear pump by external noncircular gear drive[J]. Mechanism and Machine Theory,2019,134: 338-348. doi: 10.1016/j.mechmachtheory.2019.01.011 [13] ZHAO Bin. The application of wavelet finite element method on multiple cracks identification of gear pump gear[J]. Engineering with Computers,2015,31(2): 281-288. doi: 10.1007/s00366-013-0350-x [14] BATTARRA M,MUCCHI E. A method for variable pressure load estimation in spur and helical gear pumps[J]. Mechanical Systems and Signal Processing,2016,76/77: 265-282. doi: 10.1016/j.ymssp.2016.02.020 [15] MUCCHI E,DALPIAZ G. Elasto-dynamic analysis of a gear pump-Part Ⅲ experimental validation procedure and model extension to helical gears[J]. Mechanical Systems and Signal Processing,2015,50: 174-192. [16] 邢毅真,黎义斌,张生福,等. 螺旋角对航空燃油齿轮泵性能及流量脉动特性的影响[J]. 推进技术,2023,44(3): 142-153. XING Yizhen,LI Yibin,ZHANG Shengfu,et al. Effects of helical angle on performance and flow pulsation characteristics of aviation fuel gear pump[J]. Journal of Propulsion Technology,2023,44(3): 142-153. (in ChineseXING Yizhen, LI Yibin, ZHANG Shengfu, et al. Effects of helical angle on performance and flow pulsation characteristics of aviation fuel gear pump[J]. Journal of Propulsion Technology, 2023, 44(3): 142-153. (in Chinese) [17] 梁雁昆. 双圆弧齿轮泵设计[D]. 北京: 机械科学研究总院,2015. LIANG Yankun. Double arc gear pump design[D]. Beijing: China Academy of Machinery Science and Technology,2015. (in ChineseLIANG Yankun. Double arc gear pump design[D]. Beijing: China Academy of Machinery Science and Technology, 2015. (in Chinese) [18] 徐其俊. 一种螺旋齿轮泵的设计与研究[J]. 液压与气动,2018(4): 86-91. XU Qijun. Design and study for a helical gear pump[J]. Chinese Hydraulics & Pneumatics,2018(4): 86-91. (in ChineseXU Qijun. Design and study for a helical gear pump[J]. Chinese Hydraulics & Pneumatics, 2018(4): 86-91. (in Chinese) [19] CASTILLA R,GAMEZ-MONTERO P J,DEL CAMPO D,et al. Three-dimensional numerical simulation of an external gear pump with decompression slot and meshing contact point[J]. Journal of Fluids Engineering,2015,137(4): 041105. doi: 10.1115/1.4029223 [20] 黄宫格,袁奇,潘阳,等. 叶顶泄漏对跨声速涡轮气动性能和叶片激振特性的影响[J]. 西安交通大学学报,2020,54(11): 10-18. HUANG Gongge,YUAN Qi,PAN Yang,et al. Effects of blade tip leakage on the aerodynamic performance and excitation forces of a transonic turbine[J]. Journal of Xi’an Jiaotong University,2020,54(11): 10-18. (in ChineseHUANG Gongge, YUAN Qi, PAN Yang, et al. Effects of blade tip leakage on the aerodynamic performance and excitation forces of a transonic turbine[J]. Journal of Xi’an Jiaotong University, 2020, 54(11): 10-18. (in Chinese) [21] 王福军. 水泵与泵站流动分析方法[M]. 北京: 中国水利水电出版社,2020. [22] 王宁. 齿轮泵的流量脉动性能分析及参数优化[D]. 沈阳: 沈阳工业大学,2020. WANG Ning. Performance analysis and parameter optimization of flow pulsation of gear pump[D]. Shenyang: Shenyang University of Technology,2020. (in ChineseWANG Ning. Performance analysis and parameter optimization of flow pulsation of gear pump[D]. Shenyang: Shenyang University of Technology, 2020. (in Chinese) -
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