不同瓦块分布位置下多叶动压气体轴承的动态特性研究

陈阳; 吴垚; 张功学; 赵志明; 史少斌

doi:10.13224/j.cnki.jasp.20220647

不同瓦块分布位置下多叶动压气体轴承的动态特性研究

doi: 10.13224/j.cnki.jasp.20220647

陕西科技大学机电工程学院，西安 710021

基金项目: 国家自然科学基金（51305246）；西安科学技术局高校院所人才服务企业项目（23GXFW0006）；陕西省2022年自然科学基础研究计划一般项目（2022JQ-002）；陕西科技大学引进人才博士启动基金（2021BJ-11）

详细信息

作者简介:
陈阳（1996-），男，硕士生，主要从事气体滑动轴承动压润滑理论研究

通讯作者:
吴垚（1989-），男，讲师，博士，主要从事流体润滑理论和轴承-转子系统动力学研究。E-mail：1696199213@qq.com

中图分类号: V219
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出版历程
- 收稿日期: 2022-09-02
- 网络出版日期: 2025-05-19

Analysis on dynamic characteristics of multi-leaf aerodynamic bearing under different pad distribution

College of Mechanical and Electrical Engineering，Shaanxi University of Science and Technology，Xi’an 710021，China

摘要

摘要:
多叶动压气体滑动轴承因其高转速、高精度和低磨损等优点广泛应用在高速旋转机械中。本文联合偏导数法和有限差分法（FDM）求解气体可压缩Reynolds方程，计算了三叶动压气体轴承的动态特性，探究了轴颈扰动频率、偏心率、长径比及瓦块分布位置等参数对轴承动态特性的影响。研究表明：轴承的正交刚度和阻尼系数随偏心率、长径比和预负荷系数的增大而增大，正交刚度系数随轴承数和轴颈扰动频率的增加而增大，而正交阻尼系数呈现出相反的变化趋势，在瓦上承载方式下正交刚度（K_yy）和正交阻尼（D_xx）均大于瓦间承载，瓦上承载方式下正交刚度（K_xx）和正交阻尼（D_yy）均小于瓦间承载。
- 多叶气体轴承 /
- 动态Reynolds方程 /
- 动态性能 /
- 偏导数法 /
- 有限差分法
Abstract:
Multi-leaf hydrodynamic gas journal bearing is widely used in high-speed rotating machinery due to their advantages of high speed, high precision, and low wear. The partial derivative method and finite difference method (FDM) were used to solve the gas compressible Reynolds equation, the dynamic characteristics coefficient of the three-leaf aerodynamic bearing was calculated, and the influences of journal disturbance frequency, eccentricity, length diameter ratio and pad distribution position on the dynamic coefficient were discussed in detail. Research showed that the orthogonal stiffness and damping coefficient of the bearing increased with the rise of eccentricity ratio, length-diameter ratio and preload factor. As the bearing number and journal disturbance frequency rose, the orthogonal stiffness coefficient improved significantly, while the orthogonal damping coefficient showed the opposite trend, with the load on pad, the orthogonal stiffness (K_yy) and orthogonal damping (D_xx) were larger than load between pad, the orthogonal stiffness (K_xx) and orthogonal damping (D_yy) of the load on pad were smaller than load between pad.
- multi-leaf gas bearing /
- dynamic Reynolds equation /
- dynamic performance /
- partial derivative method /
- finite difference method

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图 1 轴颈小扰动下三叶气体滑动轴承构造

Figure 1. Illustration of a three-lobed aerodynamic journal bearing with minor journal displacement

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图 2 动态系数求解流程

Figure 2. Calculation flowchart of dynamic characteristic coefficient

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图 3 计算结果对比

Figure 3. Comparison of calculation results

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图 4 Ω和m_p对动态刚度系数的影响（Λ=4，L/D=1，ε=0.6）

Figure 4. Influence of Ω and m_p on the dynamic stiffness coefficient （Λ=4，L/D=1，ε=0.6）

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图 5 Ω和m_p对动态阻尼系数的影响（Λ=4，L/D=1，ε=0.6）

Figure 5. Influence of Ω and m_p on the dynamic damping coefficient （Λ=4，L/D=1，ε=0.6）

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图 6 偏心率和预负荷对动态刚度系数的耦合作用机制分析（Λ=0.7，L/D=1.5，Ω=2）

Figure 6. Analysis of the coupling mechanism between eccentricity and preload on dynamic stiffness coefficient（Λ=0.7，L/D=1.5，Ω=2）

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图 7 ε和m_p对动态阻尼系数的影响（Λ=0.7，L/D=1.5，Ω=2）

Figure 7. Influence of ε and m_p on the dynamic damping coefficient （Λ=0.7，L/D=1.5，Ω=2）

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图 8 L/D和m_p对动态刚度系数的影响（Λ=0.6，ε=0.5，Ω=2）

Figure 8. Influence of L/D and m_p on the dynamic stiffness coefficient （Λ=0.6，ε=0.5，Ω=2）

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图 9 L/D和m_p对动态阻尼系数的影响（Λ=0.6，ε=0.5，Ω=2）

Figure 9. Influence of L/D and m_p on the dynamic damping coefficient （Λ=0.6，ε=0.5，Ω=2）

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图 10 m_p和Λ对动态刚度系数的影响（ε=0.6，L/D=1，Ω=2）

Figure 10. Influence of m_p and Λ on the dynamic stiffness coefficient （ε=0.6，L/D=1，Ω=2）

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图 11 Λ和m_p对动态阻尼系数的影响（ε=0.6，L/D=1，Ω=2）

Figure 11. Influence of Λ and m_p on the dynamic damping coefficient （ε=0.6，L/D=1，Ω=2）

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参考文献(19)

[1]	KIM D, LEE A S, CHOI B S. Evaluation of foil bearing performance and nonlinear rotordynamics of 120 kW oil-free gas turbine generator[J]. Journal of Engineering for Gas Turbines and Power, 2014, 136(3): 032504. doi: 10.1115/1.4025898
[2]	ROSSET K, PAJOT O, SCHIFFMANN J. Experimental investigation of a small-scale organic Rankine cycle turbo-generator supported on gas-lubricated bearings[J]. Journal of Engineering for Gas Turbines and Power, 2021, 143(5): 051015. doi: 10.1115/1.4049988
[3]	ALSAEED A, KIRK G, BASHMAL S. Effects of radial aerodynamic forces on rotor-bearing dynamics of high-speed turbochargers[J]. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2014, 228(14): 2503-2519. doi: 10.1177/0954406214520817
[4]	侯予, 杨山举, 陈兴亚, 等. 箔片动压气体轴承在低温透平膨胀机中的应用[J]. 哈尔滨工程大学学报, 2015, 36(4): 489-493. HOU Yu, YANG Shanju, CHEN Xingya, et al. Application of compliant foil bearings in a cryogenic turboexpander[J]. Journal of Harbin Engineering University, 2015, 36(4): 489-493. (in Chinese HOU Yu, YANG Shanju, CHEN Xingya, et al. Application of compliant foil bearings in a cryogenic turboexpander[J]. Journal of Harbin Engineering University, 2015, 36(4): 489-493. (in Chinese)
[5]	PEIXOTO T F, ALVES D S, DA SILVA TUCKMANTEL F W, et al. Effect of thermal boundary conditions on dynamic characteristics of multi-lobed bearings[J]. Mechanism and Machine Theory, 2022, 172: 104787. doi: 10.1016/j.mechmachtheory.2022.104787
[6]	LUND J W. Calculation of stiffness and damping properties of gas bearings[J]. Journal of Lubrication Technology, 1968, 90(4): 793-803. doi: 10.1115/1.3601723
[7]	LEE D, KIM D. Thermohydrodynamic analyses of bump air foil bearings with detailed thermal model of foil structures and rotor[J]. Journal of Tribology, 2010, 132(2): 021704. doi: 10.1115/1.4001014
[8]	戚社苗, 耿海鹏, 虞烈. 动压气体轴承的动态刚度和动态阻尼系数[J]. 机械工程学报, 2007, 43(5): 91-98. QI Shemiao, GENG Haipeng, YU Lie. Dynamic stiffness and dynamic damping coefficients of aerodynamic bearings[J]. Chinese Journal of Mechanical Engineering, 2007, 43(5): 91-98. (in Chinese doi: 10.3321/j.issn:0577-6686.2007.05.016 QI Shemiao, GENG Haipeng, YU Lie. Dynamic stiffness and dynamic damping coefficients of aerodynamic bearings[J]. Chinese Journal of Mechanical Engineering, 2007, 43(5): 91-98. (in Chinese) doi: 10.3321/j.issn:0577-6686.2007.05.016
[9]	ROY L, LAHA S K. Steady state and dynamic characteristics of axial grooved journal bearings[J]. Tribology International, 2009, 42(5): 754-761. doi: 10.1016/j.triboint.2008.10.010
[10]	杨利花. 可倾瓦与弹性箔片动压气体轴承的性能研究[D]. 西安: 西安交通大学, 2009. YANG Lihua. Study on performance of tilting pad and elastic foil dynamic pressure gas bearing[D]. Xi’an: XI’an Jiaotong University, 2009. (in Chinese YANG Lihua. Study on performance of tilting pad and elastic foil dynamic pressure gas bearing[D]. Xi’an: XI’an Jiaotong University, 2009. (in Chinese)
[11]	冯凯, 胡小强, 赵雪源, 等. 三瓣式气体箔片径向轴承的静动态特性[J]. 中国机械工程, 2017, 28(15): 1826-1835. FENG Kai, HU Xiaoqiang, ZHAO Xueyuan, et al. Static and dynamic performances of a three-pad gas foil journal bearing[J]. China Mechanical Engineering, 2017, 28(15): 1826-1835. (in Chinese doi: 10.3969/j.issn.1004-132X.2017.15.010 FENG Kai, HU Xiaoqiang, ZHAO Xueyuan, et al. Static and dynamic performances of a three-pad gas foil journal bearing[J]. China Mechanical Engineering, 2017, 28(15): 1826-1835. (in Chinese) doi: 10.3969/j.issn.1004-132X.2017.15.010
[12]	LI Liangliang, LI Yunzhu, XIE Yonghui. Numerical investigation on dynamic characteristics of hydrodynamic bearing[J]. Thermal Science, 2017, 21(Suppl.1): 201-208.
[13]	胡小强, 吕鹏, 冯凯, 等. 叠片式箔片气体动压推力轴承的静动态特性[J]. 航空动力学报, 2018, 33(12): 3022-3031. HU Xiaoqiang, LÜ Peng, FENG Kai, et al. Static and dynamic performance of laminated gas foil thrust bearing[J]. Journal of Aerospace Power, 2018, 33(12): 3022-3031. (in Chinese HU Xiaoqiang, LÜ Peng, FENG Kai, et al. Static and dynamic performance of laminated gas foil thrust bearing[J]. Journal of Aerospace Power, 2018, 33(12): 3022-3031. (in Chinese)
[14]	吴垚, 杨利花, 徐腾飞, 等. 气体动压径向轴承超薄气膜润滑动特性分析[J]. 振动工程学报, 2019, 32(5): 908-917. WU Yao, YANG Lihua, XU Tengfei, et al. Analysis on dynamic characteristics of the ultra-thin gas film lubrication in cylindrical gas journal bearing[J]. Journal of Vibration Engineering, 2019, 32(5): 908-917. (in Chinese WU Yao, YANG Lihua, XU Tengfei, et al. Analysis on dynamic characteristics of the ultra-thin gas film lubrication in cylindrical gas journal bearing[J]. Journal of Vibration Engineering, 2019, 32(5): 908-917. (in Chinese)
[15]	王锐, 侯安平, 李忠, 等. 厚顶箔的箔片动压轴承性能的数值研究[J]. 航空动力学报, 2020, 35(10): 2123-2135. WANG Rui, HOU Anping, LI Zhong, et al. Numerical investigation of gas journal foil bearing performance with thick top foil[J]. Journal of Aerospace Power, 2020, 35(10): 2123-2135. (in Chinese WANG Rui, HOU Anping, LI Zhong, et al. Numerical investigation of gas journal foil bearing performance with thick top foil[J]. Journal of Aerospace Power, 2020, 35(10): 2123-2135. (in Chinese)
[16]	BI Chunxiao, HAN Dongjiang, YANG Jinfu. The frequency perturbation method for predicting dynamic coefficients of supercritical carbon dioxide lubricated bearings[J]. Tribology International, 2020, 146: 106256. doi: 10.1016/j.triboint.2020.106256
[17]	JOSE J, BEHERA N. Static and dynamic performance characteristics of powder lubricated symmetrical three-lobed bearing[J]. Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology, 2021, 235(5): 916-930. doi: 10.1177/1350650120926325
[18]	赵琪, 任雄豪, 侯予, 等. 库伦摩擦对波箔气体轴承特性的影响[J]. 西安交通大学学报, 2022, 56(7): 177-183. ZHAO Qi, REN Xionghao, HOU Yu, et al. Effects of coulomb friction on bump foil gas bearing[J]. Journal of Xi’an Jiaotong University, 2022, 56(7): 177-183. (in Chinese doi: 10.7652/xjtuxb202207019 ZHAO Qi, REN Xionghao, HOU Yu, et al. Effects of coulomb friction on bump foil gas bearing[J]. Journal of Xi’an Jiaotong University, 2022, 56(7): 177-183. (in Chinese) doi: 10.7652/xjtuxb202207019
[19]	虞烈, 戚社苗, 耿海鹏. 可压缩气体润滑与弹性箔片气体轴承技术[M]. 北京: 科学出版社, 2011. YU Lie, QI Shemiao, GENG Haipeng. Compressible gas lubrication and elastic foil gas bearing technology [M]. Beijing: Science Press, 2011. (in Chinese YU Lie, QI Shemiao, GENG Haipeng. Compressible gas lubrication and elastic foil gas bearing technology [M]. Beijing: Science Press, 2011. (in Chinese)