Research on the Dynamic Performance of Aerostatic Radial Bearings with Elastic Throttles

doi:10.3901/JME.2025.05.074

Abstract

Abstract: As the lubrication medium is gas, the aerostatic bearing has the disadvantage of low stiffness and poor stability, the elastic throttle is introduced into the aerostatic bearing to improve the dynamic characteristics and stability of the aerostatic bearing. Firstly, a two-way fluid-solid coupling method is used to solve the aerostatic radial bearing coupling model, and the dynamic coefficients of the bearing are obtained based on the micro-disturbance theory in the static equilibrium state of the bearing. Then, the bearing-rotor dynamics model is developed by combining the non-linear dynamic characteristics of the air film. By solving and processing the spindle vibration signal, the time and frequency domain characteristics of the aerostatic spindle with elastic throttle are obtained and compared with those of the conventional aerostatic bearing. Finally, the stability analysis of the stress, strain and deformation of the elastic throttle during the flow-solid coupling process is carried out. The results show that the bearing improves the dynamic coefficient of the air film, reduces the vibration displacement of the spindle by more than 12%, increases the resonance frequency of the spindle and reduces the resonance bandwidth. The elastic throttle also has good stability. The designed elastic throttle aerostatic bearing effectively improves the dynamic performance of the spindle.

Key words: aerostatic bearing, elastic throttle, dynamic characteristics, rotational stability

CLC Number:

TH133

CHEN Dongju, ZHANG Xuan, PAN Ri, SUN Kun, FAN Jinwei. Research on the Dynamic Performance of Aerostatic Radial Bearings with Elastic Throttles[J]. Journal of Mechanical Engineering, 2025, 61(5): 74-86.

References

[1] GAO Qiang，CHEN Wanqun，LU Lihua，et al. Aerostatic bearings design and analysis with the application to precision engineering：State-of-the-art and future perspectives[J]. Tribology International，2019，135：1-17.
[2] LU Zhiwei，ZHANG Junan，LIU Bo. Research and analysis of the static characteristics of aerostatic bearings with a multihole integrated restrictor[J]. Shock and Vibration，2020，2020：7426928.
[3] DU Jianjun，ZHANG Guoqing，LIU Tun， et al. Improvement on load performance of externally pressurized gas journal bearings by opening pressure-equalizing grooves[J]. Tribology International，2014，73：156-166.
[4] WEN Zhongpu，WU Jianwei，XING Kunpeng，et al. Design of microstructure parameters on a small multi-throttle aerostatic guideway in photolithography[J]. Engineering，2021，7(2) ：226-237.
[5] ZHAO Xiaolong，DONG Hao，FANG Zhou，et al. Study on dynamic characteristics of aerostatic bearing with elastic equalizing pressure groove[J]. Shock and Vibration，2018，2018：6142386.
[6] CHEN Dyicheng，CHEN Mingfei，PAN Chihhsuan，et al. Study of membrane restrictors in hydrostatic bearing[J]. Advances in Mechanical Engineering，2018，10(9) ：1687814018799604.
[7] ZHUANG Hui，DING Jiangguo，CHEN Peng，et al. Numerical study on static and dynamic performances of a double-pad annular inherently compensated aerostatic thrust bearing[J]. Journal of Tribology，2019，141(5)：051701.
[8] CHEN Xuedong，ZHU Jincheng，CHEN Han. Dynamic characteristics of ultra-precision aerostatic bearings[J]. Advances in Manufacturing，2013，1(1)：82-86.
[9] YU Puliang，CHEN Xuedong，WANG Xiaoli，et al. Frequency-dependent nonlinear dynamic stiffness of aerostatic bearings subjected to external perturbations[J]. International Journal of Precision Engineering and Manufacturing，2015，16：1771-1777.
[10] CHEN Dongju，KONG Shuai，LIU Jingfang，et al. Influence of micro-scale velocity slip on the dynamic characteristics of aerostatic slider[J]. Industrial Lubrication and Tribology，2020，73(1)：120-125.
[11] WANG Xinkuan，ZHOU Lin，HUANG Ming，et al. Numerical investigation of journal misalignment on the static and dynamic characteristics of aerostatic journal bearings[J]. Measurement，2018，128：314-324.
[12] LI Jiasheng，HUANG Ming，LIU Pinkuan. Analysis and experimental verification of dynamic characteristics of air spindle considering varying stiffness and damping of radial bearings[J]. The International Journal of Advanced Manufacturing Technology，2019，104：2939-2950.
[13] GUENAT E，SCHIFFMANN J. Dynamic force coefficients identification on air-lubricated herringbone grooved journal bearing[J]. Mechanical Systems and Signal Processing，2020，136：106498.
[14] OTSU Y，SOMAYA K，YOSHIMOTO S. High-speed stability of a rigid rotor supported by aerostatic journal bearings with compound restrictors[J]. Tribology International，2011，44(1)：9-17.
[15] SHI Jianghai，CAO Hongrui，MAROJU N，et al. Dynamic modeling of aerostatic spindle with shaft tilt deformation[J]. Journal of Manufacturing Science and Engineering，2020，142(2)：021006.
[16] KUO P，LEE R，WANG Chengchi. A high-precision random forest-based maximum lyapunov exponent prediction model for spherical porous gas bearing systems[J]. IEEE Access，2020，8：168079-168086.
[17] ZHANG Jianbo，HAN Dongjiang，SONG Mingbo，et al. Theoretical and experimental investigation on the effect of supply pressure on the nonlinear behaviors of the aerostatic bearing-rotor system[J]. Mechanical Systems and Signal Processing，2021，158：107775.
[18] CUI Hailong，WANG Yang，YUE Xiaobin，et al. Numerical analysis of the dynamic performance of aerostatic thrust bearings with different restrictors[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology，2019，233(3)：406-423.
[19] COLOMBO F，RAPARELLI T，VIKTOROV V. Externally pressurized gas bearings：A comparison between two supply holes configurations[J]. Tribology International，2009，42(2)：303-310.
[20] YIN Tengfei，ZHANG Guoqing，DU Jianjun，et al. Nonlinear analysis of stability and rotational accuracy of an unbalanced rotor supported by aerostatic journal bearings[J]. IEEE Access，2021，9：61887-61900.
[21] ANANDHAN S，LEE H. Influence of organically modified clay mineral on domain structure and properties of segmented thermoplastic polyurethane elastomer[J]. Journal of Elastomers & Plastics，2014，46(3)：217-232.
[22] YANAGIHARA Y，OSAKA N，IIMORI S，et al. Relationship between modulus and structure of annealed thermoplastic polyurethane[J]. Materials Today Communications，2015，2：e9-e15.
[23] KIM B，LEE S，LEE J，et al. A comparison among Neo-Hookean model， Mooney-Rivlin model， and Ogden model for chloroprene rubber[J]. International Journal of Precision Engineering and Manufacturing， 2012，13：759-764.
[24] WANDKE K，Z Y. Moose-based finite element hyperelastic modeling for soft robot simulations[J]. IEEE Access，2021，9：139627-139635.
[25] 刘暾，刘育华，陈世杰. 静压气体润滑[M]. 哈尔滨：哈尔滨工业大学出版社，1990. LIU Tun，LIU Yuhua，CHEN Shijie. Aerostatic gas lubrication[M]. Harbin：Harbin Institute of Technology Press，1990.
[26] ZHA Chunqing，LI Tianbao，ZHAO You，et al. Influence of microscale effect on the radial rotation error of aerostatic spindle[J]. Proceedings of the Institution of Mechanical Engineers，Part J：Journal of Engineering Tribology， 2020，234(7)：1131-1142.